Td corrigé EXERCICE I : pdf

EXERCICE I :

... deux équations linéaires à deux inconnues par la méthode de substitution et ... forme de couples (x ; y) dans le tableau suivant, la valeur numérique de cette ...




part of the document



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\listoverridecount0\ls4}{\listoverride\listid1316111341\listoverridecount0\ls5}}{\info{\title EXERCICE I :}{\author Greta Val de Loire}{\operator MENTRARD}{\creatim\yr1998\mo2\dy11\hr13\min45}{\revtim\yr1999\mo1\dy4\hr21\min56}
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{\pntxta )}}{\*\pnseclvl6\pnlcltr\pnstart1\pnindent720\pnhang{\pntxtb (}{\pntxta )}}{\*\pnseclvl7\pnlcrm\pnstart1\pnindent720\pnhang{\pntxtb (}{\pntxta )}}{\*\pnseclvl8\pnlcltr\pnstart1\pnindent720\pnhang{\pntxtb (}{\pntxta )}}{\*\pnseclvl9
\pnlcrm\pnstart1\pnindent720\pnhang{\pntxtb (}{\pntxta )}}\trowd \trgaph70\trbrdrt\brdrs\brdrw10 \trbrdrl\brdrs\brdrw10 \trbrdrb\brdrs\brdrw10 \trbrdrr\brdrs\brdrw10 \trbrdrh\brdrs\brdrw10 \trbrdrv\brdrs\brdrw10 \clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl
\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb \cellx1843\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb \cellx9072\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl
\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb \cellx10773\pard\plain \s1\qc\keepn\nowidctlpar\widctlpar\intbl\outlinelevel0\adjustright \f1\fs28\lang1036\cgrid {\lang1024
{\shp{\*\shpinst\shpleft-26\shptop-6\shpright10754\shpbottom15194\shpfhdr0\shpbxcolumn\shpbypara\shpwr3\shpwrk0\shpfblwtxt0\shpz3\shplid1058{\sp{\sn shapeType}{\sv 1}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}
{\sp{\sn fFilled}{\sv 0}}}{\shprslt{\*\do\dobxcolumn\dobypara\dodhgt8195\dprect\dpx-26\dpy-6\dpxsize10780\dpysize15200
\dpfillfgcr255\dpfillfgcg255\dpfillfgcb255\dpfillbgcr255\dpfillbgcg255\dpfillbgcb255\dpfillpat0\dplinew15\dplinecor0\dplinecog0\dplinecob0}}}}{COURS\cell }\pard\plain \qc\nowidctlpar\widctlpar\intbl\adjustright \fs20\lang1036\cgrid {\b\f1\fs28
SYSTEME DE DEUX EQUATIONS
\par A DEUX INCONNUES\cell }{\f1\fs28 1\cell }\pard \nowidctlpar\widctlpar\intbl\adjustright {\b\f1\fs28 \row }\trowd \trgaph70\trkeep\trbrdrt\brdrs\brdrw10 \trbrdrl\brdrs\brdrw10 \trbrdrb\brdrs\brdrw10 \trbrdrr\brdrs\brdrw10 \trbrdrh\brdrs\brdrw10 \trbrdrv
\brdrs\brdrw10 \clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb \cellx1843\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb
\cellx10773\pard \qc\nowidctlpar\widctlpar\intbl\adjustright {\f1\fs22
\par Objectifs}{\b\f1\fs22 \cell }\pard \nowidctlpar\widctlpar\intbl\adjustright {\f1\fs24 - Savoir r\'e9soudre un syst\'e8me de deux \'e9quations lin\'e9aires \'e0 deux inconnues par la m\'e9thode de substitution et d'addition.
\par - Savoir retrouver un syst\'e8me de deux \'e9quations \'e0 deux inconnues
\par - Savoir transformer un \'e9nonc\'e9 de probl\'e8me en un syst\'e8me de deux \'e9quations lin\'e9aires \'e0 deux inconnues}{\b\f1\fs24 \cell }\pard \nowidctlpar\widctlpar\intbl\adjustright {\b\f1\fs28 \row }\pard\plain
\s15\nowidctlpar\widctlpar\adjustright \b\f1\fs28\lang1036\cgrid { }{\fs24\ul APPROCHE
\par }\pard\plain \s2\keepn\nowidctlpar\widctlpar\outlinelevel1\adjustright \f1\lang1036\cgrid { }{\b 1.}{On donne l\rquote \'e9quation \'e0 deux inconnues x et y suivante\~: x + 3y = 7 (1)
\par }\pard\plain \nowidctlpar\widctlpar\adjustright \fs20\lang1036\cgrid { }{\f1\fs24 Calculer pour les diff\'e9rentes valeurs de x et de y donn\'e9es sous forme de couples (x\~; y) dans le tableau suivant, la valeur num\'e9rique de cette expression.

\par }\trowd \trgaph70\trleft142\trbrdrt\brdrs\brdrw10 \trbrdrl\brdrs\brdrw10 \trbrdrb\brdrs\brdrw10 \trbrdrr\brdrs\brdrw10 \trbrdrh\brdrs\brdrw10 \trbrdrv\brdrs\brdrw10 \clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr
\brdrs\brdrw10 \cltxlrtb \cellx1276\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb \cellx3402\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr
\brdrs\brdrw10 \cltxlrtb \cellx5384\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb \cellx7202\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr
\brdrs\brdrw10 \cltxlrtb \cellx9020\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb \cellx10632\pard \qc\nowidctlpar\widctlpar\intbl\adjustright {\f1\fs24 (x\~; y)\cell (1\~; 2 )\cell (0\~; 4)
\cell (-2\~; 3)\cell (2\~; 1)\cell (-5\~; 4)\cell }\pard \nowidctlpar\widctlpar\intbl\adjustright {\f1\fs24 \row }\trowd \trgaph70\trleft142\trbrdrt\brdrs\brdrw10 \trbrdrl\brdrs\brdrw10 \trbrdrb\brdrs\brdrw10 \trbrdrr\brdrs\brdrw10 \trbrdrh\brdrs\brdrw10
\trbrdrv\brdrs\brdrw10 \clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb \cellx1276\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10
\cltxlrtb \cellx3402\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb \cellx5384\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb
\cellx7202\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb \cellx9020\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb \cellx10632
\pard \qc\nowidctlpar\widctlpar\intbl\adjustright {\f1\fs24
\par x +3y =\cell \cell \cell \cell \cell \cell }\pard \nowidctlpar\widctlpar\intbl\adjustright {\f1\fs24 \row }\pard \nowidctlpar\widctlpar\adjustright {\f1\fs24 }{\f1\fs24\ul Conclusions\~}{\f1\fs24
:..............................................................................................................................................................................................................................................................
.........................................
\par
\par }\pard\plain \s2\keepn\nowidctlpar\widctlpar\outlinelevel1\adjustright \f1\lang1036\cgrid {Exprimer x en fonction de y\~: x =...............\~; puis calculer pour les quelques valeurs de y suivantes les valeurs de y\~:
\par }\pard\plain \nowidctlpar\widctlpar\adjustright \fs20\lang1036\cgrid {\f1\fs24 y = 4, x =...... y = 0, x=....... y = -2, x=........ y = 45, x =..........
\par }\pard\plain \s2\keepn\nowidctlpar\widctlpar\outlinelevel1\adjustright \f1\lang1036\cgrid { (...\~; 4 ) (...\~;.... ) (...\~;... ) (.....\~; ..... )
\par }\pard\plain \nowidctlpar\widctlpar\adjustright \fs20\lang1036\cgrid {\f1\fs24\ul Conclusions\~}{\f1\fs24 :................................................................
...............................................................................................................................................................................................................................................................
..........................................................................................................................................
\par
\par }\pard\plain \s2\keepn\nowidctlpar\widctlpar\outlinelevel1\adjustright \f1\lang1036\cgrid {\b 2.}{On donne l\rquote \'e9quation \'e0 deux inconnues x et y suivante\~: 2x + y = 4 (2)
\par }\pard\plain \nowidctlpar\widctlpar\adjustright \fs20\lang1036\cgrid { }{\f1\fs24 Calculer pour les diff\'e9rentes valeurs de x et de y donn\'e9es sous forme (x\~; y) dans le tableau suivant, la valeur num\'e9rique de cette expression.
\par
\par }\trowd \trgaph70\trleft142\trbrdrt\brdrs\brdrw10 \trbrdrl\brdrs\brdrw10 \trbrdrb\brdrs\brdrw10 \trbrdrr\brdrs\brdrw10 \trbrdrh\brdrs\brdrw10 \trbrdrv\brdrs\brdrw10 \clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr
\brdrs\brdrw10 \cltxlrtb \cellx1276\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb \cellx3402\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr
\brdrs\brdrw10 \cltxlrtb \cellx5384\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb \cellx7202\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr
\brdrs\brdrw10 \cltxlrtb \cellx9020\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb \cellx10632\pard \qc\nowidctlpar\widctlpar\intbl\adjustright {\f1\fs24 (x\~; y)\cell (-2\~; 8 )\cell (0\~
; 4)\cell (-2\~; 3)\cell (1\~; 2)\cell (6\~;-4 )\cell }\pard \nowidctlpar\widctlpar\intbl\adjustright {\f1\fs24 \row }\trowd \trgaph70\trleft142\trbrdrt\brdrs\brdrw10 \trbrdrl\brdrs\brdrw10 \trbrdrb\brdrs\brdrw10 \trbrdrr\brdrs\brdrw10 \trbrdrh
\brdrs\brdrw10 \trbrdrv\brdrs\brdrw10 \clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb \cellx1276\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr
\brdrs\brdrw10 \cltxlrtb \cellx3402\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb \cellx5384\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr
\brdrs\brdrw10 \cltxlrtb \cellx7202\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb \cellx9020\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr
\brdrs\brdrw10 \cltxlrtb \cellx10632\pard \qc\nowidctlpar\widctlpar\intbl\adjustright {\f1\fs24
\par 2x +y =\cell \cell \cell \cell \cell \cell }\pard \nowidctlpar\widctlpar\intbl\adjustright {\f1\fs24 \row }\pard \nowidctlpar\widctlpar\adjustright {\f1\fs24
\par }{\f1\fs24\ul Conclusions\~}{\f1\fs24
:..............................................................................................................................................................................................................................................................
...........................................................................................................................................................................................................
\par }\pard\plain \s2\keepn\nowidctlpar\widctlpar\outlinelevel1\adjustright \f1\lang1036\cgrid {Entourer dans chacun des tableaux les couples (x\~;y ) qui v\'e9rifient les deux \'e9quations
\par On dit que le couple (...., ....) est solution du syst\'e8me d\rquote \'e9quations \'e0 deux inconnues x et y \~:
\par }{\lang1024 {\shp{\*\shpinst\shpleft2074\shptop-6\shpright2215\shpbottom674\shpfhdr0\shpbxcolumn\shpbypara\shpwr3\shpwrk0\shpfblwtxt0\shpz1\shplid1056
{\sp{\sn shapeType}{\sv 87}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}}{\shprslt{\*\do\dobxcolumn\dobypara\dodhgt8193\dppolygon\dppolycount67\dpptx141\dppty0\dpptx134\dppty0\dpptx127\dppty1\dpptx120\dppty2\dpptx113\dppty4\dpptx107\dppty7
\dpptx102\dppty10\dpptx96\dppty13\dpptx91\dppty16\dpptx86\dppty21\dpptx82\dppty25\dpptx79\dppty29\dpptx76\dppty35\dpptx74\dppty39\dpptx72\dppty45\dpptx71\dppty51\dpptx70\dppty57\dpptx70\dppty283\dpptx70\dppty288\dpptx69\dppty295\dpptx67\dppty300
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\dpptx21\dppty342\dpptx28\dppty344\dpptx34\dppty346\dpptx39\dppty349\dpptx45\dppty352\dpptx50\dppty357\dpptx54\dppty360\dpptx58\dppty366\dpptx62\dppty370\dpptx65\dppty375\dpptx67\dppty380\dpptx69\dppty385\dpptx70\dppty392\dpptx70\dppty397\dpptx70\dppty623
\dpptx71\dppty629\dpptx72\dppty635\dpptx74\dppty641\dpptx76\dppty645\dpptx79\dppty651\dpptx82\dppty655\dpptx86\dppty659\dpptx91\dppty664\dpptx96\dppty667\dpptx102\dppty670\dpptx107\dppty673\dpptx113\dppty676\dpptx120\dppty678\dpptx127\dppty679
\dpptx134\dppty680\dpptx141\dppty680\dpx2074\dpy-6\dpxsize141\dpysize680\dpfillfgcr255\dpfillfgcg255\dpfillfgcb255\dpfillbgcr255\dpfillbgcg255\dpfillbgcb255\dpfillpat0\dplinew15\dplinecor0\dplinecog0\dplinecob0}}}}{
x + 3y = 7 (1)
\par 2x + y = 4 (2)
\par }\pard\plain \nowidctlpar\widctlpar\adjustright \fs20\lang1036\cgrid {\f1\fs24
\par }{\b\f1\fs24 }{\f1\fs24 R\'e9soudre un syst\'e8me d'\'e9quations consiste \'e0 trouver tous les couples de r\'e9els qui sont solutions de ce syst\'e8me.
\par Il existe plusieurs m\'e9thode pour trouver plus rapidement le (ou les) couple(s) solution d\rquote un syst\'e8me d\rquote \'e9quation.
\par }{\b\f1\fs24 }{\f1\fs24 - deux m\'e9thodes alg\'e9briques - une m\'e9thode graphique( fonction affine)
\par . par substitution
\par . par combinaison - addition
\par }{\b\f1\fs24
\par
\par
\par
\par }\trowd \trgaph70\trbrdrt\brdrs\brdrw10 \trbrdrl\brdrs\brdrw10 \trbrdrb\brdrs\brdrw10 \trbrdrr\brdrs\brdrw10 \trbrdrh\brdrs\brdrw10 \trbrdrv\brdrs\brdrw10 \clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr
\brdrs\brdrw10 \cltxlrtb \cellx1843\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb \cellx9214\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr
\brdrs\brdrw10 \cltxlrtb \cellx10773\pard\plain \s1\qc\keepn\nowidctlpar\widctlpar\intbl\outlinelevel0\adjustright \f1\fs28\lang1036\cgrid {\lang1024
{\shp{\*\shpinst\shpleft-26\shptop-6\shpright10774\shpbottom15034\shpfhdr0\shpbxcolumn\shpbypara\shpwr3\shpwrk0\shpfblwtxt0\shpz14\shplid1069{\sp{\sn shapeType}{\sv 1}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}
{\sp{\sn fFilled}{\sv 0}}}{\shprslt{\*\do\dobxcolumn\dobypara\dodhgt8206\dprect\dpx-26\dpy-6\dpxsize10800\dpysize15040
\dpfillfgcr255\dpfillfgcg255\dpfillfgcb255\dpfillbgcr255\dpfillbgcg255\dpfillbgcb255\dpfillpat0\dplinew15\dplinecor0\dplinecog0\dplinecob0}}}}{\fs24 COURS\cell }\pard\plain \s3\keepn\nowidctlpar\widctlpar\intbl\outlinelevel2\adjustright
\b\f1\fs28\lang1036\cgrid {SYSTEME DE DEUX EQUATIONS A DEUX NCONNUES\cell }\pard\plain \qc\nowidctlpar\widctlpar\intbl\adjustright \fs20\lang1036\cgrid {\f1\fs24 2\cell }\pard \nowidctlpar\widctlpar\intbl\adjustright {\f1\fs24 \row }\pard
\nowidctlpar\widctlpar\adjustright {\b\f1\fs24 }{\b\f1\fs24\ul I. DEFINITION
\par }{\b\f1\fs24
\par Un syst\'e8me de deux \'e9quations du premier degr\'e9 }{\f1\fs24 (exposant 1 sur les inconnues) }{\b\f1\fs24 \'e0 deux inconnues x et y est de la forme\~:
\par }{\lang1024 {\shp{\*\shpinst\shpleft1194\shptop5\shpright1335\shpbottom765\shpfhdr0\shpbxcolumn\shpbypara\shpwr3\shpwrk0\shpfblwtxt0\shpz2\shplid1057
{\sp{\sn shapeType}{\sv 87}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}}{\shprslt{\*\do\dobxcolumn\dobypara\dodhgt8194\dppolygon\dppolycount67\dpptx141\dppty0\dpptx134\dppty0\dpptx127\dppty1\dpptx120\dppty2\dpptx113\dppty5\dpptx107\dppty7
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\dpptx65\dppty340\dpptx62\dppty347\dpptx58\dppty351\dpptx54\dppty356\dpptx50\dppty361\dpptx45\dppty365\dpptx39\dppty368\dpptx34\dppty372\dpptx28\dppty375\dpptx21\dppty377\dpptx14\dppty378\dpptx7\dppty379\dpptx0\dppty379\dpptx7\dppty379\dpptx14\dppty381
\dpptx21\dppty382\dpptx28\dppty384\dpptx34\dppty387\dpptx39\dppty390\dpptx45\dppty394\dpptx50\dppty399\dpptx54\dppty402\dpptx58\dppty409\dpptx62\dppty413\dpptx65\dppty420\dpptx67\dppty424\dpptx69\dppty430\dpptx70\dppty438\dpptx70\dppty444\dpptx70\dppty697
\dpptx71\dppty703\dpptx72\dppty710\dpptx74\dppty716\dpptx76\dppty721\dpptx79\dppty727\dpptx82\dppty732\dpptx86\dppty737\dpptx91\dppty742\dpptx96\dppty745\dpptx102\dppty749\dpptx107\dppty753\dpptx113\dppty755\dpptx120\dppty758\dpptx127\dppty759
\dpptx134\dppty760\dpptx141\dppty760\dpx1194\dpy5\dpxsize141\dpysize760\dpfillfgcr255\dpfillfgcg255\dpfillfgcb255\dpfillbgcr255\dpfillbgcg255\dpfillbgcb255\dpfillpat0\dplinew15\dplinecor0\dplinecog0\dplinecob0}}}}{\b\f1\fs24 \tab \tab }{\b\f1\fs28
a x + b y = c\tab (1)}{\b\f1\fs24 \tab \tab a, a', b, b' sont des r\'e9els connus diff\'e9rents de z\'e9ro
\par \tab \tab }{\b\f1\fs28 a' x + b' y = c' (2)
\par }{\f1
\par }{\f1\fs24 Une solution du syst\'e8me est le couple de r\'e9els qui v\'e9rifie chacune des deux \'e9quations.
\par }{\f1
\par }{\f1\fs24\ul
\par }{\f1\fs24 \tab
\par }{\b\f1\fs24\ul II. RESOLUTION D'UN SYSTEME DE DEUX EQUATIONS LINEAIRES A DEUX INCONNUES :
\par }{\f1\fs24
\par }{\b\f1\fs24 1}{\b\f1\fs24\ul ) R\'e9solution par substitution :
\par }{\lang1024 {\shp{\*\shpinst\shpleft174\shptop43\shpright10574\shpbottom1083\shpfhdr0\shpbxcolumn\shpbypara\shpwr3\shpwrk0\shpfblwtxt0\shpz4\shplid1059{\sp{\sn shapeType}{\sv 202}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}
{\sp{\sn lTxid}{\sv 65536}}{\shptxt \pard\plain \s16\nowidctlpar\widctlpar\adjustright \f1\lang1036\cgrid {On d\'e9duit soit x, soit y dans l\rquote une des deux \'e9quations en fonction de l\rquote autre inconnue puis on substitue (remplace) par l
\rquote expression trouv\'e9e dans l\rquote autre \'e9quation.
\par Cette m\'e9thode n\'e9cessite une bonne ma\'eetrise du calcul alg\'e9brique.
\par }}}{\shprslt{\*\do\dobxcolumn\dobypara\dodhgt8196\dptxbx{\dptxbxtext\pard\plain \s16\nowidctlpar\widctlpar\adjustright \f1\lang1036\cgrid {On d\'e9duit soit x, soit y dans l\rquote une des deux \'e9quations en fonction de l\rquote autre i
nconnue puis on substitue (remplace) par l\rquote expression trouv\'e9e dans l\rquote autre \'e9quation.
\par Cette m\'e9thode n\'e9cessite une bonne ma\'eetrise du calcul alg\'e9brique.
\par }}\dpx174\dpy43\dpxsize10400\dpysize1040\dpfillfgcr255\dpfillfgcg255\dpfillfgcb255\dpfillbgcr255\dpfillbgcg255\dpfillbgcb255\dpfillpat1\dplinew15\dplinecor0\dplinecog0\dplinecob0}}}}{\f1\fs24
\par
\par
\par
\par }{\lang1024 {\shp{\*\shpinst\shpleft1214\shptop250\shpright1355\shpbottom910\shpfhdr0\shpbxcolumn\shpbypara\shpwr3\shpwrk0\shpfblwtxt0\shpz9\shplid1064
{\sp{\sn shapeType}{\sv 87}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}}{\shprslt{\*\do\dobxcolumn\dobypara\dodhgt8201\dppolygon\dppolycount67\dpptx141\dppty0\dpptx134\dppty0\dpptx127\dppty1\dpptx120\dppty2\dpptx113\dppty4\dpptx107\dppty6
\dpptx102\dppty10\dpptx96\dppty13\dpptx91\dppty16\dpptx86\dppty20\dpptx82\dppty24\dpptx79\dppty29\dpptx76\dppty34\dpptx74\dppty38\dpptx72\dppty43\dpptx71\dppty50\dpptx70\dppty55\dpptx70\dppty275\dpptx70\dppty280\dpptx69\dppty286\dpptx67\dppty291
\dpptx65\dppty296\dpptx62\dppty301\dpptx58\dppty305\dpptx54\dppty309\dpptx50\dppty314\dpptx45\dppty317\dpptx39\dppty320\dpptx34\dppty323\dpptx28\dppty325\dpptx21\dppty327\dpptx14\dppty328\dpptx7\dppty329\dpptx0\dppty329\dpptx7\dppty329\dpptx14\dppty331
\dpptx21\dppty332\dpptx28\dppty334\dpptx34\dppty336\dpptx39\dppty339\dpptx45\dppty342\dpptx50\dppty346\dpptx54\dppty350\dpptx58\dppty355\dpptx62\dppty359\dpptx65\dppty364\dpptx67\dppty369\dpptx69\dppty374\dpptx70\dppty380\dpptx70\dppty385\dpptx70\dppty605
\dpptx71\dppty610\dpptx72\dppty617\dpptx74\dppty622\dpptx76\dppty626\dpptx79\dppty631\dpptx82\dppty636\dpptx86\dppty640\dpptx91\dppty644\dpptx96\dppty647\dpptx102\dppty650\dpptx107\dppty654\dpptx113\dppty656\dpptx120\dppty658\dpptx127\dppty659
\dpptx134\dppty660\dpptx141\dppty660\dpx1214\dpy250\dpxsize141\dpysize660\dpfillfgcr255\dpfillfgcg255\dpfillfgcb255\dpfillbgcr255\dpfillbgcg255\dpfillbgcb255\dpfillpat0\dplinew15\dplinecor0\dplinecog0\dplinecob0}}}}{\f1\fs24 R\'e9soudre le syst\'e8
me suivant:
\par \tab \tab 2x + 3y = 1 (1)
\par }{\lang1024 {\shp{\*\shpinst\shpleft3254\shptop171\shpright3774\shpbottom911\shpfhdr0\shpbxcolumn\shpbypara\shpwr3\shpwrk0\shpfblwtxt0\shpz13\shplid1068{\sp{\sn shapeType}{\sv 20}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}
{\sp{\sn shapePath}{\sv 4}}{\sp{\sn fFillOK}{\sv 0}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn lineEndArrowhead}{\sv 1}}{\sp{\sn fArrowheadsOK}{\sv 1}}}{\shprslt{\*\do\dobxcolumn\dobypara\dodhgt8205\dpline\dpptx0\dppty0\dpptx520\dppty740
\dpx3254\dpy171\dpxsize520\dpysize740\dplinew15\dplinecor0\dplinecog0\dplinecob0}}}}{\f1\fs24 \tab \tab x - y = 2 (2)
\par }{\b\f1\fs24\ul M\'e9thode:
\par
\par }{\lang1024 {\shp{\*\shpinst\shpleft2854\shptop2302\shpright5854\shpbottom3362\shpfhdr0\shpbxcolumn\shpbypara\shpwr3\shpwrk0\shpfblwtxt0\shpz18\shplid1073{\sp{\sn shapeType}{\sv 20}}{\sp{\sn fFlipH}{\sv 1}}{\sp{\sn fFlipV}{\sv 0}}
{\sp{\sn shapePath}{\sv 4}}{\sp{\sn fFillOK}{\sv 0}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn lineEndArrowhead}{\sv 1}}{\sp{\sn fArrowheadsOK}{\sv 1}}}{\shprslt{\*\do\dobxcolumn\dobypara\dodhgt8210\dpline\dpptx3000\dppty0\dpptx0\dppty1060
\dpx2854\dpy2302\dpxsize3000\dpysize1060\dplinew15\dplinecor0\dplinecog0\dplinecob0}}}{\shp{\*\shpinst\shpleft4814\shptop88\shpright10774\shpbottom2648\shpfhdr0\shpbxcolumn\shpbypara\shpwr3\shpwrk0\shpfblwtxt0\shpz6\shplid1061
{\sp{\sn shapeType}{\sv 202}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn lTxid}{\sv 131072}}{\shptxt \pard\plain \s16\nowidctlpar\widctlpar\adjustright \f1\lang1036\cgrid {b) Substituer cette expression entre parenth\'e8se dans l'autre \'e9
quation.
\par Dans (1) cela donne\~:
\par 2 (...................) + 3y = 1 ou 2x + 3(..................)=1
\par .................................= 1
\par .................................= 1
\par }}}{\shprslt{\*\do\dobxcolumn\dobypara\dodhgt8198\dptxbx{\dptxbxtext\pard\plain \s16\nowidctlpar\widctlpar\adjustright \f1\lang1036\cgrid {b) Substituer cette expression entre parenth\'e8se dans l'autre \'e9quation.
\par Dans (1) cela donne\~:
\par 2 (...................) + 3y = 1 ou 2x + 3(..................)=1
\par .................................= 1
\par .................................= 1
\par }}\dpx4814\dpy88\dpxsize5960\dpysize2560\dpfillfgcr255\dpfillfgcg255\dpfillfgcb255\dpfillbgcr255\dpfillbgcg255\dpfillbgcb255\dpfillpat1\dplinew15\dplinecor0\dplinecog0\dplinecob0}}}
{\shp{\*\shpinst\shpleft14\shptop88\shpright4814\shpbottom2648\shpfhdr0\shpbxcolumn\shpbypara\shpwr3\shpwrk0\shpfblwtxt0\shpz5\shplid1060{\sp{\sn shapeType}{\sv 202}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn lTxid}{\sv 196608}}{\shptxt
{\pntext\pard\plain\f1\cgrid \hich\af1\dbch\af0\loch\f1 a)\tab}\pard\plain \fi-360\li360\nowidctlpar\widctlpar\jclisttab\tx360{\*\pn \pnlvlbody\ilvl0\ls1\pnrnot0\pnlcltr\pnb0\pnstart1\pnindent360\pnhang{\pntxta )}}\ls1\adjustright \fs20\lang1036\cgrid {
\f1\fs24 Exprimer une inconnue en fonction de l'autre dans l'une des deux \'e9quations}{\b\f1\fs24 .
\par }\pard\plain \s2\keepn\nowidctlpar\widctlpar\outlinelevel1\adjustright \f1\lang1036\cgrid { De l\rquote \'e9quation (2) par exemple on
\par obtient\~:
\par }\pard\plain \nowidctlpar\widctlpar\adjustright \fs20\lang1036\cgrid {
\par }{\f1\fs24 Soit x = (...................)
\par
\par Soit y = (....................)
\par }}}{\shprslt{\*\do\dobxcolumn\dobypara\dodhgt8197\dptxbx{\dptxbxtext{\pntext\pard\plain\f1\cgrid \hich\af1\dbch\af0\loch\f1 a)\tab}\pard\plain \fi-360\li360\nowidctlpar\widctlpar\jclisttab\tx360{\*\pn \pnlvlbody\ilvl0\ls1\pnrnot0\pnlcltr\pnb0
\pnstart1\pnindent360\pnhang{\pntxta )}}\ls1\adjustright \fs20\lang1036\cgrid {\f1\fs24 Exprimer une inconnue en fonction de l'autre dans l'une des deux \'e9quations}{\b\f1\fs24 .
\par }\pard\plain \s2\keepn\nowidctlpar\widctlpar\outlinelevel1\adjustright \f1\lang1036\cgrid { De l\rquote \'e9quation (2) par exemple on
\par obtient\~:
\par }\pard\plain \nowidctlpar\widctlpar\adjustright \fs20\lang1036\cgrid {
\par }{\f1\fs24 Soit x = (...................)
\par
\par Soit y = (....................)
\par }}\dpx14\dpy88\dpxsize4800\dpysize2560\dpfillfgcr255\dpfillfgcg255\dpfillfgcb255\dpfillbgcr255\dpfillbgcg255\dpfillbgcb255\dpfillpat1\dplinew15\dplinecor0\dplinecog0\dplinecob0}}}}{\b\f1\fs24
\par \tab }{\f1\fs24
\par
\par }{\lang1024 {\shp{\*\shpinst\shpleft5154\shptop123\shpright6614\shpbottom463\shpfhdr0\shpbxcolumn\shpbypara\shpwr3\shpwrk0\shpfblwtxt0\shpz17\shplid1072{\sp{\sn shapeType}{\sv 1}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}
{\sp{\sn fFilled}{\sv 0}}}{\shprslt{\*\do\dobxcolumn\dobypara\dodhgt8209\dprect\dpx5154\dpy123\dpxsize1460\dpysize340
\dpfillfgcr255\dpfillfgcg255\dpfillfgcb255\dpfillbgcr255\dpfillbgcg255\dpfillbgcb255\dpfillpat0\dplinew15\dplinecor0\dplinecog0\dplinecob0}}}}{\f1\fs24
\par }{\lang1024 {\shp{\*\shpinst\shpleft2674\shptop200\shpright5654\shpbottom580\shpfhdr0\shpbxcolumn\shpbypara\shpwr3\shpwrk0\shpfblwtxt0\shpz15\shplid1070{\sp{\sn shapeType}{\sv 20}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 1}}
{\sp{\sn shapePath}{\sv 4}}{\sp{\sn fFillOK}{\sv 0}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn lineEndArrowhead}{\sv 1}}{\sp{\sn fArrowheadsOK}{\sv 1}}}{\shprslt{\*\do\dobxcolumn\dobypara\dodhgt8207\dpline\dpptx2980\dppty0\dpptx0\dppty380
\dpx2674\dpy200\dpxsize2980\dpysize380\dplinew15\dplinecor0\dplinecog0\dplinecob0}}}}{\f1\fs24
\par }{\lang1024 {\shp{\*\shpinst\shpleft1074\shptop77\shpright2594\shpbottom477\shpfhdr0\shpbxcolumn\shpbypara\shpwr3\shpwrk0\shpfblwtxt0\shpz16\shplid1071{\sp{\sn shapeType}{\sv 1}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}
{\sp{\sn fFilled}{\sv 0}}}{\shprslt{\*\do\dobxcolumn\dobypara\dodhgt8208\dprect\dpx1074\dpy77\dpxsize1520\dpysize400\dpfillfgcr255\dpfillfgcg255\dpfillfgcb255\dpfillbgcr255\dpfillbgcg255\dpfillbgcb255\dpfillpat0\dplinew15\dplinecor0\dplinecog0\dplinecob0}
}}}{\f1\fs24
\par
\par \tab }{\b\f1\fs24 :
\par }{\f1\fs24
\par }{\lang1024 {\shp{\*\shpinst\shpleft14\shptop80\shpright4794\shpbottom2400\shpfhdr0\shpbxcolumn\shpbypara\shpwr3\shpwrk0\shpfblwtxt0\shpz7\shplid1062{\sp{\sn shapeType}{\sv 202}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}
{\sp{\sn lTxid}{\sv 262144}}{\shptxt \pard\plain \s16\nowidctlpar\widctlpar\adjustright \f1\lang1036\cgrid {c) R\'e9soudre l'\'e9quation \'e0 une inconnue ainsi obtenue\~:
\par ..........................=..............................
\par ..........................=..............................
\par ..........................=..............................
\par
\par }}}{\shprslt{\*\do\dobxcolumn\dobypara\dodhgt8199\dptxbx{\dptxbxtext\pard\plain \s16\nowidctlpar\widctlpar\adjustright \f1\lang1036\cgrid {c) R\'e9soudre l'\'e9quation \'e0 une inconnue ainsi obtenue\~:
\par ..........................=..............................
\par ..........................=..............................
\par ..........................=..............................
\par
\par }}\dpx14\dpy80\dpxsize4780\dpysize2320\dpfillfgcr255\dpfillfgcg255\dpfillfgcb255\dpfillbgcr255\dpfillbgcg255\dpfillbgcb255\dpfillpat1\dplinew15\dplinecor0\dplinecog0\dplinecob0}}}
{\shp{\*\shpinst\shpleft4814\shptop80\shpright10774\shpbottom2420\shpfhdr0\shpbxcolumn\shpbypara\shpwr3\shpwrk0\shpfblwtxt0\shpz8\shplid1063{\sp{\sn shapeType}{\sv 202}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn lTxid}{\sv 327680}}{\shptxt
\pard\plain \s16\nowidctlpar\widctlpar\adjustright \f1\lang1036\cgrid {d) Calculer la deuxi\'e8me inconnue \'e0 partir de son expression :
\par ..........................=..............................
\par ..........................=..............................
\par ..........................=..............................
\par
\par }\pard\plain \nowidctlpar\widctlpar\adjustright \fs20\lang1036\cgrid {\f1
\par }{
\par }}}{\shprslt{\*\do\dobxcolumn\dobypara\dodhgt8200\dptxbx{\dptxbxtext\pard\plain \s16\nowidctlpar\widctlpar\adjustright \f1\lang1036\cgrid {d) Calculer la deuxi\'e8me inconnue \'e0 partir de son expression :
\par ..........................=..............................
\par ..........................=..............................
\par ..........................=..............................
\par
\par }\pard\plain \nowidctlpar\widctlpar\adjustright \fs20\lang1036\cgrid {\f1
\par }{
\par }}\dpx4814\dpy80\dpxsize5960\dpysize2340\dpfillfgcr255\dpfillfgcg255\dpfillfgcb255\dpfillbgcr255\dpfillbgcg255\dpfillbgcb255\dpfillpat1\dplinew15\dplinecor0\dplinecog0\dplinecob0}}}}{\f1\fs24
\par
\par
\par
\par
\par
\par \tab }{\f1
\par
\par
\par }{\lang1024 {\shp{\*\shpinst\shpleft4814\shptop30\shpright10774\shpbottom3130\shpfhdr0\shpbxcolumn\shpbypara\shpwr3\shpwrk0\shpfblwtxt0\shpz11\shplid1066{\sp{\sn shapeType}{\sv 202}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}
{\sp{\sn lTxid}{\sv 393216}}{\shptxt \pard\plain \s16\nowidctlpar\widctlpar\adjustright \f1\lang1036\cgrid {f) V\'e9rifier, si possible, par calcul que le couple obtenu est bien solution des deux \'e9quations:
\par }\pard\plain \nowidctlpar\widctlpar\adjustright \fs20\lang1036\cgrid {\f1
\par }{\f1\fs24 2x (....) + 3x (.....) = (1)
\par
\par (....) \endash (.....) = (2)
\par Comparer les r\'e9sultats avec ceux du d\'e9but
\par }}}{\shprslt{\*\do\dobxcolumn\dobypara\dodhgt8203\dptxbx{\dptxbxtext\pard\plain \s16\nowidctlpar\widctlpar\adjustright \f1\lang1036\cgrid {f) V\'e9rifier, si possible, par calcul que le couple obtenu est bien solution des deux \'e9quations:
\par }\pard\plain \nowidctlpar\widctlpar\adjustright \fs20\lang1036\cgrid {\f1
\par }{\f1\fs24 2x (....) + 3x (.....) = (1)
\par
\par (....) \endash (.....) = (2)
\par Comparer les r\'e9sultats avec ceux du d\'e9but
\par }}\dpx4814\dpy30\dpxsize5960\dpysize3100\dpfillfgcr255\dpfillfgcg255\dpfillfgcb255\dpfillbgcr255\dpfillbgcg255\dpfillbgcb255\dpfillpat1\dplinew15\dplinecor0\dplinecog0\dplinecob0}}}
{\shp{\*\shpinst\shpleft14\shptop10\shpright4814\shpbottom3130\shpfhdr0\shpbxcolumn\shpbypara\shpwr3\shpwrk0\shpfblwtxt0\shpz10\shplid1065{\sp{\sn shapeType}{\sv 202}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn lTxid}{\sv 458752}}{\shptxt
\pard\plain \s16\nowidctlpar\widctlpar\adjustright \f1\lang1036\cgrid {e) Exprimer correctement le couple solution\~:
\par }\pard\plain \nowidctlpar\widctlpar\adjustright \fs20\lang1036\cgrid {\f1\fs24 - soit par une phrase du type\~: le couple (.....\~;......) est le couple solution du syst\'e8me d\rquote \'e9quations
\par {\pntext\pard\plain\cgrid \hich\af0\dbch\af0\loch\f0 -\tab}}\pard \fi-360\li420\nowidctlpar\widctlpar\jclisttab\tx420{\*\pn \pnlvlblt\ilvl0\ls2\pnrnot0\pnstart5\pnindent420\pnhang{\pntxtb -}}\ls2\adjustright {\f1\fs24 soit par\~: S =(.....\~;......)

\par }\pard \nowidctlpar\widctlpar\adjustright {\f1\fs24
\par Attention \'e0 l\rquote ordre de x et de y dans cette parenth\'e8se.
\par }}}{\shprslt{\*\do\dobxcolumn\dobypara\dodhgt8202\dptxbx{\dptxbxtext\pard\plain \s16\nowidctlpar\widctlpar\adjustright \f1\lang1036\cgrid {e) Exprimer correctement le couple solution\~:
\par }\pard\plain \nowidctlpar\widctlpar\adjustright \fs20\lang1036\cgrid {\f1\fs24 - soit par une phrase du type\~: le couple (.....\~;......) est le couple solution du syst\'e8me d\rquote \'e9quations
\par {\pntext\pard\plain\cgrid \hich\af0\dbch\af0\loch\f0 -\tab}}\pard \fi-360\li420\nowidctlpar\widctlpar\jclisttab\tx420{\*\pn \pnlvlblt\ilvl0\ls2\pnrnot0\pnstart5\pnindent420\pnhang{\pntxtb -}}\ls2\adjustright {\f1\fs24 soit par\~: S =(.....\~;......)

\par }\pard \nowidctlpar\widctlpar\adjustright {\f1\fs24
\par Attention \'e0 l\rquote ordre de x et de y dans cette parenth\'e8se.
\par }}\dpx14\dpy10\dpxsize4800\dpysize3120\dpfillfgcr255\dpfillfgcg255\dpfillfgcb255\dpfillbgcr255\dpfillbgcg255\dpfillbgcb255\dpfillpat1\dplinew15\dplinecor0\dplinecog0\dplinecob0}}}}{\f1
\par }{\b\f1 \tab }{\f1
\par
\par }{\lang1024 {\shp{\*\shpinst\shpleft4993\shptop133\shpright5134\shpbottom1193\shpfhdr0\shpbxcolumn\shpbypara\shpwr3\shpwrk0\shpfblwtxt0\shpz19\shplid1074
{\sp{\sn shapeType}{\sv 87}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}}{\shprslt{\*\do\dobxcolumn\dobypara\dodhgt8211\dppolygon\dppolycount67\dpptx141\dppty0\dpptx134\dppty0\dpptx127\dppty2\dpptx120\dppty3\dpptx113\dppty7\dpptx107\dppty10
\dpptx102\dppty15\dpptx96\dppty20\dpptx91\dppty25\dpptx86\dppty32\dpptx82\dppty39\dpptx79\dppty46\dpptx76\dppty54\dpptx74\dppty61\dpptx72\dppty70\dpptx71\dppty80\dpptx70\dppty88\dpptx70\dppty441\dpptx70\dppty449\dpptx69\dppty460\dpptx67\dppty468
\dpptx65\dppty475\dpptx62\dppty483\dpptx58\dppty490\dpptx54\dppty497\dpptx50\dppty504\dpptx45\dppty509\dpptx39\dppty514\dpptx34\dppty519\dpptx28\dppty522\dpptx21\dppty526\dpptx14\dppty527\dpptx7\dppty529\dpptx0\dppty529\dpptx7\dppty529\dpptx14\dppty531
\dpptx21\dppty533\dpptx28\dppty536\dpptx34\dppty539\dpptx39\dppty544\dpptx45\dppty549\dpptx50\dppty556\dpptx54\dppty561\dpptx58\dppty570\dpptx62\dppty577\dpptx65\dppty585\dpptx67\dppty592\dpptx69\dppty600\dpptx70\dppty611\dpptx70\dppty619\dpptx70\dppty972
\dpptx71\dppty980\dpptx72\dppty990\dpptx74\dppty999\dpptx76\dppty1006\dpptx79\dppty1014\dpptx82\dppty1021\dpptx86\dppty1028\dpptx91\dppty1035\dpptx96\dppty1040\dpptx102\dppty1045\dpptx107\dppty1050\dpptx113\dppty1053\dpptx120\dppty1057\dpptx127\dppty1058
\dpptx134\dppty1060\dpptx141\dppty1060\dpx4993\dpy133\dpxsize141\dpysize1060\dpfillfgcr255\dpfillfgcg255\dpfillfgcb255\dpfillbgcr255\dpfillbgcg255\dpfillbgcb255\dpfillpat0\dplinew15\dplinecor0\dplinecog0\dplinecob0}}}}{\f1
\par
\par
\par
\par
\par
\par }{\b\f1 \tab }{\f1
\par
\par
\par
\par
\par }\pard\plain \s1\qc\keepn\nowidctlpar\widctlpar\intbl\outlinelevel0\adjustright \f1\fs28\lang1036\cgrid {\lang1024
{\shp{\*\shpinst\shpleft-26\shptop-6\shpright10774\shpbottom15214\shpfhdr0\shpbxcolumn\shpbypara\shpwr3\shpwrk0\shpfblwtxt0\shpz20\shplid1075{\sp{\sn shapeType}{\sv 1}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}
{\sp{\sn fFilled}{\sv 0}}}{\shprslt{\*\do\dobxcolumn\dobypara\dodhgt8212\dprect\dpx-26\dpy-6\dpxsize10800\dpysize15220
\dpfillfgcr255\dpfillfgcg255\dpfillfgcb255\dpfillbgcr255\dpfillbgcg255\dpfillbgcb255\dpfillpat0\dplinew15\dplinecor0\dplinecog0\dplinecob0}}}}{\fs24 COURS\cell }\pard\plain \s3\keepn\nowidctlpar\widctlpar\intbl\outlinelevel2\adjustright
\b\f1\fs28\lang1036\cgrid {SYSTEME DE DEUX EQUATIONS A DEUX NCONNUES\cell }\pard\plain \qc\nowidctlpar\widctlpar\intbl\adjustright \fs20\lang1036\cgrid {\f1\fs24 3\cell }\pard \nowidctlpar\widctlpar\intbl\adjustright {\f1\fs24 \row }\pard
\nowidctlpar\widctlpar\adjustright {\f1
\par }{\f1\fs24 \tab }{\b\f1\fs24 2}{\b\f1\fs24\ul ) R\'e9solution par combinaison - addition :}{\f1\fs24
\par }{\lang1024 {\shp{\*\shpinst\shpleft374\shptop60\shpright10194\shpbottom1100\shpfhdr0\shpbxcolumn\shpbypara\shpwr3\shpwrk0\shpfblwtxt0\shpz21\shplid1076{\sp{\sn shapeType}{\sv 202}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}
{\sp{\sn lTxid}{\sv 524288}}{\shptxt \pard\plain \nowidctlpar\widctlpar\adjustright \fs20\lang1036\cgrid {\f1\fs24 Cette m\'e9thode consiste \'e0 \'e9liminer x ou y en trouvant des multiplicateurs}{\f1\fs24\ul (combinaison)}{\f1\fs24 pour chaque \'e9
quation qui permettent ensuite par }{\f1\fs24\ul addition}{\f1\fs24 de supprimer une des deux inconnues
\par }}}{\shprslt{\*\do\dobxcolumn\dobypara\dodhgt8213\dptxbx{\dptxbxtext\pard\plain \nowidctlpar\widctlpar\adjustright \fs20\lang1036\cgrid {\f1\fs24 Cette m\'e9thode consiste \'e0 \'e9liminer x ou y en trouvant des multiplicateurs}{\f1\fs24\ul (combinaison)}
{\f1\fs24 pour chaque \'e9quation qui permettent ensuite par }{\f1\fs24\ul addition}{\f1\fs24 de supprimer une des deux inconnues
\par }}\dpx374\dpy60\dpxsize9820\dpysize1040\dpfillfgcr255\dpfillfgcg255\dpfillfgcb255\dpfillbgcr255\dpfillbgcg255\dpfillbgcb255\dpfillpat1\dplinew15\dplinecor0\dplinecog0\dplinecob0}}}}{\f1\fs24
\par
\par
\par
\par }{\lang1024 {\shp{\*\shpinst\shpleft3874\shptop207\shpright10514\shpbottom1367\shpfhdr0\shpbxcolumn\shpbypara\shpwr3\shpwrk0\shpfblwtxt0\shpz22\shplid1077{\sp{\sn shapeType}{\sv 202}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}
{\sp{\sn lTxid}{\sv 589824}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\shptxt \pard\plain \nowidctlpar\widctlpar\adjustright \fs20\lang1036\cgrid {\f1\fs24 Veiller \'e0 respecter l\rquote alignement des x sous les x, des y sous les y comme le sugg
\'e8re les pointill\'e9s qui forment un semblant de colonnes
\par }}}{\shprslt{\*\do\dobxcolumn\dobypara\dodhgt8214\dptxbx{\dptxbxtext\pard\plain \nowidctlpar\widctlpar\adjustright \fs20\lang1036\cgrid {\f1\fs24 Veiller \'e0 respecter l\rquote alignement des x sous les x, des y sous les y comme le sugg\'e8
re les pointill\'e9s qui forment un semblant de colonnes
\par }}\dpx3874\dpy207\dpxsize6640\dpysize1160\dpfillfgcr255\dpfillfgcg255\dpfillfgcb255\dpfillbgcr255\dpfillbgcg255\dpfillbgcb255\dpfillpat0\dplinehollow}}}}{\f1\fs24 R\'e9soudre le syst\'e8me suivant:
\par }{\lang1024 {\shpgrp{\*\shpinst\shpleft1173\shptop84\shpright2154\shpbottom984\shpfhdr0\shpbxcolumn\shpbypara\shpwr3\shpwrk0\shpfblwtxt0\shpz23\shplid1078{\sp{\sn groupLeft}{\sv 1739}}{\sp{\sn groupTop}{\sv 2940}}{\sp{\sn groupRight}{\sv 2720}}
{\sp{\sn groupBottom}{\sv 3840}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn lidRegroup}{\sv 0}}{\shp{\*\shpinst\shplid1079{\sp{\sn relLeft}{\sv 1739}}{\sp{\sn relTop}{\sv 2940}}{\sp{\sn relRight}{\sv 1880}}{\sp{\sn relBottom}{\sv 3840}}
{\sp{\sn fRelFlipH}{\sv 0}}{\sp{\sn fRelFlipV}{\sv 0}}{\sp{\sn shapeType}{\sv 87}}}}{\shp{\*\shpinst\shplid1080{\sp{\sn relLeft}{\sv 2260}}{\sp{\sn relTop}{\sv 3140}}{\sp{\sn relRight}{\sv 2260}}{\sp{\sn relBottom}{\sv 3740}}{\sp{\sn fRelFlipH}{\sv 0}}
{\sp{\sn fRelFlipV}{\sv 0}}{\sp{\sn shapeType}{\sv 20}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn fFillOK}{\sv 0}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn lineDashing}{\sv 2}}{\sp{\sn fArrowheadsOK}{\sv 1}}{\sp{\sn fLine}{\sv 1}}}}
{\shp{\*\shpinst\shplid1081{\sp{\sn relLeft}{\sv 2720}}{\sp{\sn relTop}{\sv 3120}}{\sp{\sn relRight}{\sv 2720}}{\sp{\sn relBottom}{\sv 3720}}{\sp{\sn fRelFlipH}{\sv 0}}{\sp{\sn fRelFlipV}{\sv 0}}{\sp{\sn shapeType}{\sv 20}}{\sp{\sn shapePath}{\sv 4}}
{\sp{\sn fFillOK}{\sv 0}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn lineDashing}{\sv 2}}{\sp{\sn fArrowheadsOK}{\sv 1}}{\sp{\sn fLine}{\sv 1}}}}}{\shprslt{\*\do\dobxcolumn\dobypara\dodhgt8215\dppolygon\dppolycount4\dpptx0\dppty0\dpptx981\dppty0\dpptx981\dppty900
\dpptx0\dppty900\dpx1173\dpy84\dpxsize981\dpysize900\dpfillfgcr255\dpfillfgcg255\dpfillfgcb255\dpfillbgcr255\dpfillbgcg255\dpfillbgcb255\dpfillpat1\dplinew15\dplinecor0\dplinecog0\dplinecob0}}}}{\f1\fs24
\par \tab \tab 2x - y = 5 (1)
\par \tab \tab x +3y = 2 (2)
\par
\par }{\b\f1\fs24
\par
\par }{\lang1024 {\shp{\*\shpinst\shpleft2174\shptop2086\shpright2314\shpbottom2786\shpfhdr0\shpbxcolumn\shpbypara\shpwr3\shpwrk0\shpfblwtxt0\shpz34\shplid1103{\sp{\sn shapeType}{\sv 20}}{\sp{\sn fFlipH}{\sv 1}}{\sp{\sn fFlipV}{\sv 1}}
{\sp{\sn shapePath}{\sv 4}}{\sp{\sn fFillOK}{\sv 0}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn lineEndArrowhead}{\sv 1}}{\sp{\sn fArrowheadsOK}{\sv 1}}}{\shprslt{\*\do\dobxcolumn\dobypara\dodhgt8226\dpline\dpptx0\dppty0\dpptx140\dppty700
\dpx2174\dpy2086\dpxsize140\dpysize700\dplinew15\dplinecor0\dplinecog0\dplinecob0}}}{\shp{\*\shpinst\shpleft-26\shptop267\shpright10714\shpbottom4167\shpfhdr0\shpbxcolumn\shpbypara\shpwr3\shpwrk0\shpfblwtxt0\shpz24\shplid1082
{\sp{\sn shapeType}{\sv 202}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn lTxid}{\sv 655360}}{\shptxt \pard\plain \nowidctlpar\widctlpar\adjustright \fs20\lang1036\cgrid {\f1\fs24 a) Obtenir, pour une inconnue, des coefficients oppos\'e9
s dans les deux \'e9quations. Pour cela multiplier les deux membres de chaque \'e9quation par un nombre judicieusement choisi pour que l\rquote addition d\rquote une colonne soit \'e9gale \'e0 0
\par a}{\f1\fs24\sub 1}{\f1\fs24 ) soit on \'e9limine x a}{\f1\fs24\sub 2}{\f1\fs24 ) soit on \'e9limine y
\par 2x - y = 5 }{\b\f1\fs18 x}{\b\f1\fs24 (... )}{\f1\fs24 ...x -..y = ... 2x - y = 5 }{\b\f1\fs18 x}{\b\f1\fs24 ( )}{\f1\fs24
.. x -.. y = ...
\par x +3y = 2 }{\b\f1\fs18 x}{\b\f1\fs24 (... )}{\f1\fs24 ...x +..y = ... x +3y = 2 }{\b\f1\fs18 x}{\b\f1\fs24 ( )}{\f1\fs24
.. x +...y = ...
\par }\pard\plain \s16\nowidctlpar\widctlpar\adjustright \f1\lang1036\cgrid { 0x ...y =.... ..x 0y = ...
\par
\par
\par D\'e9terminer les }{\ul coefficients}{ qui permettent d\rquote \'e9liminer une des deux inconnues. Multiplier chaque terme de chaque ligne par le coefficient correspondant.
\par }{Additionner membre \'e0 membre les deux \'e9quations ainsi obtenues }{
\par }}}{\shprslt{\*\do\dobxcolumn\dobypara\dodhgt8216\dptxbx{\dptxbxtext\pard\plain \nowidctlpar\widctlpar\adjustright \fs20\lang1036\cgrid {\f1\fs24 a) Obtenir, pour une inconnue, des coefficients oppos\'e9s dans les deux \'e9
quations. Pour cela multiplier les deux membres de chaque \'e9quation par un nombre judicieusement choisi pour que l\rquote addition d\rquote une colonne soit \'e9gale \'e0 0
\par a}{\f1\fs24\sub 1}{\f1\fs24 ) soit on \'e9limine x a}{\f1\fs24\sub 2}{\f1\fs24 ) soit on \'e9limine y
\par 2x - y = 5 }{\b\f1\fs18 x}{\b\f1\fs24 (... )}{\f1\fs24 ...x -..y = ... 2x - y = 5 }{\b\f1\fs18 x}{\b\f1\fs24 ( )}{\f1\fs24
.. x -.. y = ...
\par x +3y = 2 }{\b\f1\fs18 x}{\b\f1\fs24 (... )}{\f1\fs24 ...x +..y = ... x +3y = 2 }{\b\f1\fs18 x}{\b\f1\fs24 ( )}{\f1\fs24
.. x +...y = ...
\par }\pard\plain \s16\nowidctlpar\widctlpar\adjustright \f1\lang1036\cgrid { 0x ...y =.... ..x 0y = ...
\par
\par
\par D\'e9terminer les }{\ul coefficients}{ qui permettent d\rquote \'e9liminer une des deux inconnues. Multiplier chaque terme de chaque ligne par le coefficient correspondant.
\par }{Additionner membre \'e0 membre les deux \'e9quations ainsi obtenues }{
\par }}\dpx-26\dpy267\dpxsize10740\dpysize3900\dpfillfgcr255\dpfillfgcg255\dpfillfgcb255\dpfillbgcr255\dpfillbgcg255\dpfillbgcb255\dpfillpat1\dplinew15\dplinecor0\dplinecog0\dplinecob0}}}
{\shp{\*\shpinst\shpleft5414\shptop1266\shpright5414\shpbottom2806\shpfhdr0\shpbxcolumn\shpbypara\shpwr3\shpwrk0\shpfblwtxt0\shpz33\shplid1102{\sp{\sn shapeType}{\sv 20}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}
{\sp{\sn shapePath}{\sv 4}}{\sp{\sn fFillOK}{\sv 0}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 1}}}{\shprslt{\*\do\dobxcolumn\dobypara\dodhgt8225\dpline\dpptx0\dppty0\dpptx0\dppty1540\dpx5414\dpy1266\dpxsize0\dpysize1540
\dplinew15\dplinecor0\dplinecog0\dplinecob0}}}}{\f1\fs24
\par }{\f1
\par
\par
\par
\par }{\lang1024 {\shpgrp{\*\shpinst\shpleft8933\shptop181\shpright10634\shpbottom1081\shpfhdr0\shpbxcolumn\shpbypara\shpwr3\shpwrk0\shpfblwtxt0\shpz31\shplid1096{\sp{\sn groupLeft}{\sv 3619}}{\sp{\sn groupTop}{\sv 5900}}{\sp{\sn groupRight}{\sv 5320}}
{\sp{\sn groupBottom}{\sv 6800}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn lidRegroup}{\sv 0}}{\shp{\*\shpinst\shplid1097{\sp{\sn relLeft}{\sv 3619}}{\sp{\sn relTop}{\sv 5900}}{\sp{\sn relRight}{\sv 3757}}{\sp{\sn relBottom}{\sv 6800}}
{\sp{\sn fRelFlipH}{\sv 0}}{\sp{\sn fRelFlipV}{\sv 0}}{\sp{\sn shapeType}{\sv 87}}}}{\shp{\*\shpinst\shplid1098{\sp{\sn relLeft}{\sv 4129}}{\sp{\sn relTop}{\sv 6100}}{\sp{\sn relRight}{\sv 4129}}{\sp{\sn relBottom}{\sv 6800}}{\sp{\sn fRelFlipH}{\sv 0}}
{\sp{\sn fRelFlipV}{\sv 0}}{\sp{\sn shapeType}{\sv 20}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn fFillOK}{\sv 0}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn lineDashing}{\sv 2}}{\sp{\sn fArrowheadsOK}{\sv 1}}{\sp{\sn fLine}{\sv 1}}}}
{\shp{\*\shpinst\shplid1099{\sp{\sn relLeft}{\sv 4580}}{\sp{\sn relTop}{\sv 6080}}{\sp{\sn relRight}{\sv 4580}}{\sp{\sn relBottom}{\sv 6780}}{\sp{\sn fRelFlipH}{\sv 0}}{\sp{\sn fRelFlipV}{\sv 0}}{\sp{\sn shapeType}{\sv 20}}{\sp{\sn shapePath}{\sv 4}}
{\sp{\sn fFillOK}{\sv 0}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn lineDashing}{\sv 2}}{\sp{\sn fArrowheadsOK}{\sv 1}}{\sp{\sn fLine}{\sv 1}}}}{\shp{\*\shpinst\shplid1100{\sp{\sn relLeft}{\sv 3720}}{\sp{\sn relTop}{\sv 6580}}
{\sp{\sn relRight}{\sv 5320}}{\sp{\sn relBottom}{\sv 6580}}{\sp{\sn fRelFlipH}{\sv 0}}{\sp{\sn fRelFlipV}{\sv 0}}{\sp{\sn shapeType}{\sv 20}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn fFillOK}{\sv 0}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 1}}}}
}{\shprslt{\*\do\dobxcolumn\dobypara\dodhgt8223\dppolygon\dppolycount4\dpptx0\dppty0\dpptx1701\dppty0\dpptx1701\dppty900\dpptx0\dppty900\dpx8933\dpy181\dpxsize1701\dpysize900
\dpfillfgcr255\dpfillfgcg255\dpfillfgcb255\dpfillbgcr255\dpfillbgcg255\dpfillbgcb255\dpfillpat1\dplinew15\dplinecor0\dplinecog0\dplinecob0}}}
{\shp{\*\shpinst\shpleft5893\shptop121\shpright6031\shpbottom1021\shpfhdr0\shpbxcolumn\shpbypara\shpwr3\shpwrk0\shpfblwtxt0\shpz28\shplid1093
{\sp{\sn shapeType}{\sv 87}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}}{\shprslt{\*\do\dobxcolumn\dobypara\dodhgt8220\dppolygon\dppolycount67\dpptx138\dppty0\dpptx131\dppty0\dpptx124\dppty1\dpptx117\dppty3\dpptx111\dppty6\dpptx105\dppty9
\dpptx99\dppty13\dpptx94\dppty17\dpptx89\dppty22\dpptx85\dppty27\dpptx81\dppty33\dpptx77\dppty39\dpptx74\dppty46\dpptx72\dppty52\dpptx70\dppty59\dpptx69\dppty68\dpptx69\dppty75\dpptx69\dppty374\dpptx68\dppty382\dpptx68\dppty390\dpptx66\dppty397
\dpptx64\dppty403\dpptx61\dppty410\dpptx57\dppty416\dpptx53\dppty422\dpptx49\dppty428\dpptx44\dppty432\dpptx39\dppty436\dpptx33\dppty441\dpptx27\dppty444\dpptx21\dppty446\dpptx14\dppty448\dpptx7\dppty449\dpptx0\dppty449\dpptx7\dppty449\dpptx14\dppty451
\dpptx21\dppty452\dpptx27\dppty455\dpptx33\dppty458\dpptx39\dppty462\dpptx44\dppty467\dpptx49\dppty472\dpptx53\dppty477\dpptx57\dppty484\dpptx61\dppty490\dpptx64\dppty497\dpptx66\dppty503\dpptx68\dppty510\dpptx68\dppty518\dpptx69\dppty526\dpptx69\dppty825
\dpptx69\dppty832\dpptx70\dppty841\dpptx72\dppty848\dpptx74\dppty854\dpptx77\dppty861\dpptx81\dppty867\dpptx85\dppty873\dpptx89\dppty878\dpptx94\dppty883\dpptx99\dppty887\dpptx105\dppty891\dpptx111\dppty894\dpptx117\dppty897\dpptx124\dppty899
\dpptx131\dppty900\dpptx138\dppty900\dpx5893\dpy121\dpxsize138\dpysize900\dpfillfgcr255\dpfillfgcg255\dpfillfgcb255\dpfillbgcr255\dpfillbgcg255\dpfillbgcb255\dpfillpat0\dplinew15\dplinecor0\dplinecog0\dplinecob0}}}
{\shpgrp{\*\shpinst\shpleft3053\shptop201\shpright4754\shpbottom1101\shpfhdr0\shpbxcolumn\shpbypara\shpwr3\shpwrk0\shpfblwtxt0\shpz27\shplid1088{\sp{\sn groupLeft}{\sv 3619}}{\sp{\sn groupTop}{\sv 5900}}{\sp{\sn groupRight}{\sv 5320}}
{\sp{\sn groupBottom}{\sv 6800}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn lidRegroup}{\sv 0}}{\shp{\*\shpinst\shplid1089{\sp{\sn relLeft}{\sv 3619}}{\sp{\sn relTop}{\sv 5900}}{\sp{\sn relRight}{\sv 3757}}{\sp{\sn relBottom}{\sv 6800}}
{\sp{\sn fRelFlipH}{\sv 0}}{\sp{\sn fRelFlipV}{\sv 0}}{\sp{\sn shapeType}{\sv 87}}}}{\shp{\*\shpinst\shplid1090{\sp{\sn relLeft}{\sv 4129}}{\sp{\sn relTop}{\sv 6100}}{\sp{\sn relRight}{\sv 4129}}{\sp{\sn relBottom}{\sv 6800}}{\sp{\sn fRelFlipH}{\sv 0}}
{\sp{\sn fRelFlipV}{\sv 0}}{\sp{\sn shapeType}{\sv 20}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn fFillOK}{\sv 0}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn lineDashing}{\sv 2}}{\sp{\sn fArrowheadsOK}{\sv 1}}{\sp{\sn fLine}{\sv 1}}}}
{\shp{\*\shpinst\shplid1091{\sp{\sn relLeft}{\sv 4580}}{\sp{\sn relTop}{\sv 6080}}{\sp{\sn relRight}{\sv 4580}}{\sp{\sn relBottom}{\sv 6780}}{\sp{\sn fRelFlipH}{\sv 0}}{\sp{\sn fRelFlipV}{\sv 0}}{\sp{\sn shapeType}{\sv 20}}{\sp{\sn shapePath}{\sv 4}}
{\sp{\sn fFillOK}{\sv 0}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn lineDashing}{\sv 2}}{\sp{\sn fArrowheadsOK}{\sv 1}}{\sp{\sn fLine}{\sv 1}}}}{\shp{\*\shpinst\shplid1092{\sp{\sn relLeft}{\sv 3720}}{\sp{\sn relTop}{\sv 6580}}
{\sp{\sn relRight}{\sv 5320}}{\sp{\sn relBottom}{\sv 6580}}{\sp{\sn fRelFlipH}{\sv 0}}{\sp{\sn fRelFlipV}{\sv 0}}{\sp{\sn shapeType}{\sv 20}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn fFillOK}{\sv 0}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 1}}}}
}{\shprslt{\*\do\dobxcolumn\dobypara\dodhgt8219\dppolygon\dppolycount4\dpptx0\dppty0\dpptx1701\dppty0\dpptx1701\dppty900\dpptx0\dppty900\dpx3053\dpy201\dpxsize1701\dpysize900
\dpfillfgcr255\dpfillfgcg255\dpfillfgcb255\dpfillbgcr255\dpfillbgcg255\dpfillbgcb255\dpfillpat1\dplinew15\dplinecor0\dplinecog0\dplinecob0}}}
{\shpgrp{\*\shpinst\shpleft333\shptop201\shpright1294\shpbottom1101\shpfhdr0\shpbxcolumn\shpbypara\shpwr3\shpwrk0\shpfblwtxt0\shpz25\shplid1083{\sp{\sn groupLeft}{\sv 1739}}{\sp{\sn groupTop}{\sv 2940}}{\sp{\sn groupRight}{\sv 2720}}
{\sp{\sn groupBottom}{\sv 3840}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn lidRegroup}{\sv 0}}{\shp{\*\shpinst\shplid1084{\sp{\sn relLeft}{\sv 1739}}{\sp{\sn relTop}{\sv 2940}}{\sp{\sn relRight}{\sv 1880}}{\sp{\sn relBottom}{\sv 3840}}
{\sp{\sn fRelFlipH}{\sv 0}}{\sp{\sn fRelFlipV}{\sv 0}}{\sp{\sn shapeType}{\sv 87}}}}{\shp{\*\shpinst\shplid1085{\sp{\sn relLeft}{\sv 2260}}{\sp{\sn relTop}{\sv 3140}}{\sp{\sn relRight}{\sv 2260}}{\sp{\sn relBottom}{\sv 3740}}{\sp{\sn fRelFlipH}{\sv 0}}
{\sp{\sn fRelFlipV}{\sv 0}}{\sp{\sn shapeType}{\sv 20}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn fFillOK}{\sv 0}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn lineDashing}{\sv 2}}{\sp{\sn fArrowheadsOK}{\sv 1}}{\sp{\sn fLine}{\sv 1}}}}
{\shp{\*\shpinst\shplid1086{\sp{\sn relLeft}{\sv 2720}}{\sp{\sn relTop}{\sv 3120}}{\sp{\sn relRight}{\sv 2720}}{\sp{\sn relBottom}{\sv 3720}}{\sp{\sn fRelFlipH}{\sv 0}}{\sp{\sn fRelFlipV}{\sv 0}}{\sp{\sn shapeType}{\sv 20}}{\sp{\sn shapePath}{\sv 4}}
{\sp{\sn fFillOK}{\sv 0}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn lineDashing}{\sv 2}}{\sp{\sn fArrowheadsOK}{\sv 1}}{\sp{\sn fLine}{\sv 1}}}}}{\shprslt{\*\do\dobxcolumn\dobypara\dodhgt8217\dppolygon\dppolycount4\dpptx0\dppty0\dpptx961\dppty0\dpptx961\dppty900
\dpptx0\dppty900\dpx333\dpy201\dpxsize961\dpysize900\dpfillfgcr255\dpfillfgcg255\dpfillfgcb255\dpfillbgcr255\dpfillbgcg255\dpfillbgcb255\dpfillpat1\dplinew15\dplinecor0\dplinecog0\dplinecob0}}}}{\f1
\par }{\lang1024 {\shp{\*\shpinst\shpleft6814\shptop10\shpright6814\shpbottom710\shpfhdr0\shpbxcolumn\shpbypara\shpwr3\shpwrk0\shpfblwtxt0\shpz30\shplid1095{\sp{\sn shapeType}{\sv 20}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}
{\sp{\sn shapePath}{\sv 4}}{\sp{\sn fFillOK}{\sv 0}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn lineDashing}{\sv 2}}{\sp{\sn fArrowheadsOK}{\sv 1}}{\sp{\sn fLine}{\sv 1}}}{\shprslt{\*\do\dobxcolumn\dobypara\dodhgt8222\dpline\dpptx0\dppty0\dpptx0\dppty700
\dpx6814\dpy10\dpxsize0\dpysize700\dplinew15\dplinecor0\dplinecog0\dplinecob0}}}{\shp{\*\shpinst\shpleft6383\shptop30\shpright6383\shpbottom730\shpfhdr0\shpbxcolumn\shpbypara\shpwr3\shpwrk0\shpfblwtxt0\shpz29\shplid1094
{\sp{\sn shapeType}{\sv 20}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn fFillOK}{\sv 0}}{\sp{\sn fFilled}{\sv 0}}
{\sp{\sn lineDashing}{\sv 2}}{\sp{\sn fArrowheadsOK}{\sv 1}}{\sp{\sn fLine}{\sv 1}}}{\shprslt{\*\do\dobxcolumn\dobypara\dodhgt8221\dpline\dpptx0\dppty0\dpptx0\dppty700\dpx6383\dpy30\dpxsize0\dpysize700\dplinew15\dplinecor0\dplinecog0\dplinecob0}}}}{\f1

\par }{\lang1024 {\shp{\*\shpinst\shpleft8114\shptop120\shpright8794\shpbottom120\shpfhdr0\shpbxcolumn\shpbypara\shpwr3\shpwrk0\shpfblwtxt0\shpz32\shplid1101{\sp{\sn shapeType}{\sv 20}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}
{\sp{\sn shapePath}{\sv 4}}{\sp{\sn fFillOK}{\sv 0}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn lineEndArrowhead}{\sv 1}}{\sp{\sn fArrowheadsOK}{\sv 1}}}{\shprslt{\*\do\dobxcolumn\dobypara\dodhgt8224\dpline\dpptx0\dppty0\dpptx680\dppty0
\dpx8114\dpy120\dpxsize680\dpysize0\dplinew15\dplinecor0\dplinecog0\dplinecob0}}}{\shp{\*\shpinst\shpleft2434\shptop100\shpright2994\shpbottom100\shpfhdr0\shpbxcolumn\shpbypara\shpwr3\shpwrk0\shpfblwtxt0\shpz26\shplid1087
{\sp{\sn shapeType}{\sv 20}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn fFillOK}{\sv 0}}{\sp{\sn fFilled}{\sv 0}}
{\sp{\sn lineEndArrowhead}{\sv 1}}{\sp{\sn fArrowheadsOK}{\sv 1}}}{\shprslt{\*\do\dobxcolumn\dobypara\dodhgt8218\dpline\dpptx0\dppty0\dpptx560\dppty0\dpx2434\dpy100\dpxsize560\dpysize0\dplinew15\dplinecor0\dplinecog0\dplinecob0}}}}{\f1
\par
\par
\par
\par
\par
\par
\par }{\b\f1\fs24
\par
\par
\par }{\b\f1\fs24\lang1024 {\shp{\*\shpinst\shpleft5174\shptop9\shpright10734\shpbottom2629\shpfhdr0\shpbxcolumn\shpbypara\shpwr3\shpwrk0\shpfblwtxt0\shpz36\shplid1105{\sp{\sn shapeType}{\sv 202}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}
{\sp{\sn lTxid}{\sv 720896}}{\shptxt \pard\plain \s16\nowidctlpar\widctlpar\adjustright \f1\lang1036\cgrid {c) }{Calculer la deuxi\'e8me inconnue}{ }{ }{en rempla\'e7ant}{ }{par la valeur num\'e9rique de la premi\'e8re}{ }{dans}{ l'une des deux \'e9
quations}{\~:
\par }\pard\plain \nowidctlpar\widctlpar\adjustright \fs20\lang1036\cgrid {\f1\fs24 2}{\f1\fs24 x -..}{\f1\fs24 ..}{\f1\fs24 = }{\f1\fs24 5 donc 2x = .......... et x =.........
\par ou
\par }{\f1\fs24 x +3}{\f1\fs16 x}{\f1\fs24 ....}{\f1\fs24 = 2}{\f1\fs24 }{\f1\fs24 donc }{\f1\fs24 }{\f1\fs24 x = .......... et x =.........
\par }{\f1\fs24
\par }}}{\shprslt{\*\do\dobxcolumn\dobypara\dodhgt8228\dptxbx{\dptxbxtext\pard\plain \s16\nowidctlpar\widctlpar\adjustright \f1\lang1036\cgrid {c) }{Calculer la deuxi\'e8me inconnue}{ }{ }{en rempla\'e7ant}{ }{par la valeur num\'e9rique de la premi\'e8re}{ }{
dans}{ l'une des deux \'e9quations}{\~:
\par }\pard\plain \nowidctlpar\widctlpar\adjustright \fs20\lang1036\cgrid {\f1\fs24 2}{\f1\fs24 x -..}{\f1\fs24 ..}{\f1\fs24 = }{\f1\fs24 5 donc 2x = .......... et x =.........
\par ou
\par }{\f1\fs24 x +3}{\f1\fs16 x}{\f1\fs24 ....}{\f1\fs24 = 2}{\f1\fs24 }{\f1\fs24 donc }{\f1\fs24 }{\f1\fs24 x = .......... et x =.........
\par }{\f1\fs24
\par }}\dpx5174\dpy9\dpxsize5560\dpysize2620\dpfillfgcr255\dpfillfgcg255\dpfillfgcb255\dpfillbgcr255\dpfillbgcg255\dpfillbgcb255\dpfillpat1\dplinew15\dplinecor0\dplinecog0\dplinecob0}}}
{\shp{\*\shpinst\shpleft-26\shptop9\shpright5174\shpbottom2629\shpfhdr0\shpbxcolumn\shpbypara\shpwr3\shpwrk0\shpfblwtxt0\shpz35\shplid1104{\sp{\sn shapeType}{\sv 202}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn lTxid}{\sv 786432}}{\shptxt
\pard\plain \nowidctlpar\widctlpar\adjustright \fs20\lang1036\cgrid {\f1\fs24 b)R}{\f1\fs24 \'e9soudre l'\'e9quation}{\f1\fs24 du premier degr\'e8 \'e0 une seule inconnue}{\f1\fs24 ainsi obtenue :}{\f1\fs24
\par
\par }\pard\plain \s16\nowidctlpar\widctlpar\adjustright \f1\lang1036\cgrid {...y =.... }{
\par }\pard\plain \nowidctlpar\widctlpar\adjustright \fs20\lang1036\cgrid {\f1\fs24 donc y =}{\f1\fs24 }{\f1\fs24
\par }}}{\shprslt{\*\do\dobxcolumn\dobypara\dodhgt8227\dptxbx{\dptxbxtext\pard\plain \nowidctlpar\widctlpar\adjustright \fs20\lang1036\cgrid {\f1\fs24 b)R}{\f1\fs24 \'e9soudre l'\'e9quation}{\f1\fs24 du premier degr\'e8 \'e0 une seule inconnue}{\f1\fs24
ainsi obtenue :}{\f1\fs24
\par
\par }\pard\plain \s16\nowidctlpar\widctlpar\adjustright \f1\lang1036\cgrid {...y =.... }{
\par }\pard\plain \nowidctlpar\widctlpar\adjustright \fs20\lang1036\cgrid {\f1\fs24 donc y =}{\f1\fs24 }{\f1\fs24
\par }}\dpx-26\dpy9\dpxsize5200\dpysize2620\dpfillfgcr255\dpfillfgcg255\dpfillfgcb255\dpfillbgcr255\dpfillbgcg255\dpfillbgcb255\dpfillpat1\dplinew15\dplinecor0\dplinecog0\dplinecob0}}}}{\b\f1\fs24
\par
\par }{\f1\fs24
\par }{\f1
\par
\par
\par
\par
\par
\par
\par }{\f1\lang1024 {\shp{\*\shpinst\shpleft5174\shptop133\shpright10734\shpbottom2613\shpfhdr0\shpbxcolumn\shpbypara\shpwr3\shpwrk0\shpfblwtxt0\shpz38\shplid1107{\sp{\sn shapeType}{\sv 202}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}
{\sp{\sn lTxid}{\sv 851968}}{\shptxt \pard\plain \s16\nowidctlpar\widctlpar\adjustright \f1\lang1036\cgrid {e) V\'e9rifier, si possible, par calcul que le couple obtenu est bien solution des deux \'e9quations:
\par }\pard\plain \nowidctlpar\widctlpar\adjustright \fs20\lang1036\cgrid {\f1
\par }{\f1\fs24 2}{\f1\fs18 x}{\f1\fs24 (....) - (.....) = 5 (1)
\par
\par (....) + }{\f1\fs24 3}{\f1\fs16 x}{\f1\fs24 (.....) = 2 (2)
\par Comparer les r\'e9sultats avec ceux du d\'e9but
\par }}}{\shprslt{\*\do\dobxcolumn\dobypara\dodhgt8230\dptxbx{\dptxbxtext\pard\plain \s16\nowidctlpar\widctlpar\adjustright \f1\lang1036\cgrid {e) V\'e9rifier, si possible, par calcul que le couple obtenu est bien solution des deux \'e9quations:
\par }\pard\plain \nowidctlpar\widctlpar\adjustright \fs20\lang1036\cgrid {\f1
\par }{\f1\fs24 2}{\f1\fs18 x}{\f1\fs24 (....) - (.....) = 5 (1)
\par
\par (....) + }{\f1\fs24 3}{\f1\fs16 x}{\f1\fs24 (.....) = 2 (2)
\par Comparer les r\'e9sultats avec ceux du d\'e9but
\par }}\dpx5174\dpy133\dpxsize5560\dpysize2480\dpfillfgcr255\dpfillfgcg255\dpfillfgcb255\dpfillbgcr255\dpfillbgcg255\dpfillbgcb255\dpfillpat1\dplinew15\dplinecor0\dplinecog0\dplinecob0}}}
{\shp{\*\shpinst\shpleft-26\shptop153\shpright5194\shpbottom2613\shpfhdr0\shpbxcolumn\shpbypara\shpwr3\shpwrk0\shpfblwtxt0\shpz37\shplid1106{\sp{\sn shapeType}{\sv 202}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn lTxid}{\sv 917504}}{\shptxt
\pard\plain \s16\nowidctlpar\widctlpar\adjustright \f1\lang1036\cgrid {d) Exprimer correctement le couple solution\~:
\par {\pntext\pard\plain\cgrid \hich\af0\dbch\af0\loch\f0 -\tab}}\pard\plain \fi-360\li420\nowidctlpar\widctlpar\jclisttab\tx420{\*\pn \pnlvlblt\ilvl0\ls3\pnrnot0\pnstart5\pnindent420\pnhang{\pntxtb -}}\ls3\adjustright \fs20\lang1036\cgrid {\f1\fs24
soit par une phrase du type\~: le couple
\par }\pard \nowidctlpar\widctlpar\adjustright {\f1\fs24 (.....\~;......) est le couple solution du
\par syst\'e8me d\rquote \'e9quations.
\par {\pntext\pard\plain\cgrid \hich\af0\dbch\af0\loch\f0 -\tab}}\pard \fi-360\li420\nowidctlpar\widctlpar\jclisttab\tx420{\*\pn \pnlvlblt\ilvl0\ls2\pnrnot0\pnstart5\pnindent420\pnhang{\pntxtb -}}\ls2\adjustright {\f1\fs24 soit par\~: S =(.....\~;......)

\par }\pard \nowidctlpar\widctlpar\adjustright {\f1\fs24
\par Attention \'e0 l\rquote ordre de x et de y dans cette parenth\'e8se.
\par }}}{\shprslt{\*\do\dobxcolumn\dobypara\dodhgt8229\dptxbx{\dptxbxtext\pard\plain \s16\nowidctlpar\widctlpar\adjustright \f1\lang1036\cgrid {d) Exprimer correctement le couple solution\~:
\par {\pntext\pard\plain\cgrid \hich\af0\dbch\af0\loch\f0 -\tab}}\pard\plain \fi-360\li420\nowidctlpar\widctlpar\jclisttab\tx420{\*\pn \pnlvlblt\ilvl0\ls3\pnrnot0\pnstart5\pnindent420\pnhang{\pntxtb -}}\ls3\adjustright \fs20\lang1036\cgrid {\f1\fs24
soit par une phrase du type\~: le couple
\par }\pard \nowidctlpar\widctlpar\adjustright {\f1\fs24 (.....\~;......) est le couple solution du
\par syst\'e8me d\rquote \'e9quations.
\par {\pntext\pard\plain\cgrid \hich\af0\dbch\af0\loch\f0 -\tab}}\pard \fi-360\li420\nowidctlpar\widctlpar\jclisttab\tx420{\*\pn \pnlvlblt\ilvl0\ls2\pnrnot0\pnstart5\pnindent420\pnhang{\pntxtb -}}\ls2\adjustright {\f1\fs24 soit par\~: S =(.....\~;......)

\par }\pard \nowidctlpar\widctlpar\adjustright {\f1\fs24
\par Attention \'e0 l\rquote ordre de x et de y dans cette parenth\'e8se.
\par }}\dpx-26\dpy153\dpxsize5220\dpysize2460\dpfillfgcr255\dpfillfgcg255\dpfillfgcb255\dpfillbgcr255\dpfillbgcg255\dpfillbgcb255\dpfillpat1\dplinew15\dplinecor0\dplinecog0\dplinecob0}}}}{\f1
\par
\par
\par
\par
\par
\par }{\b\f1
\par }{\b\f1\fs24 3) }{\f1\fs24
\par }{\f1
\par
\par
\par
\par }{\f1\fs24\ul Remarque}{\f1\fs24 On peut donc obtenir la deuxi\'e8me inconnue d\rquote un syst\'e8me d\rquote \'e9quations
\par {\pntext\pard\plain\cgrid \hich\af0\dbch\af0\loch\f0 -\tab}}\pard \fi-360\li750\nowidctlpar\widctlpar\jclisttab\tx750{\*\pn \pnlvlblt\ilvl0\ls4\pnrnot0\pnstart5\pnindent750\pnhang{\pntxtb -}}\ls4\adjustright {\f1\fs24 soit en proc\'e9dant deux fois \'e0
la recherche des coefficients puis \'e0 l\rquote addition
\par }\pard \qc\nowidctlpar\widctlpar{\*\pn \pnlvlcont\ilvl0\ls0\pnrnot0\pndec }\adjustright {\f1\fs24\lang1024 {\shp{\*\shpinst\shpleft5874\shptop124\shpright6094\shpbottom124\shpfhdr0\shpbxcolumn\shpbypara\shpwr3\shpwrk0\shpfblwtxt0\shpz41\shplid1110
{\sp{\sn shapeType}{\sv 20}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn fFillOK}{\sv 0}}{\sp{\sn fFilled}{\sv 0}}
{\sp{\sn lineEndArrowhead}{\sv 1}}{\sp{\sn fArrowheadsOK}{\sv 1}}}{\shprslt{\*\do\dobxcolumn\dobypara\dodhgt8233\dpline\dpptx0\dppty0\dpptx220\dppty0\dpx5874\dpy124\dpxsize220\dpysize0\dplinew15\dplinecor0\dplinecog0\dplinecob0}}}
{\shp{\*\shpinst\shpleft5274\shptop164\shpright5514\shpbottom164\shpfhdr0\shpbxcolumn\shpbypara\shpwr3\shpwrk0\shpfblwtxt0\shpz40\shplid1109{\sp{\sn shapeType}{\sv 20}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}
{\sp{\sn shapePath}{\sv 4}}{\sp{\sn fFillOK}{\sv 0}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn lineEndArrowhead}{\sv 1}}{\sp{\sn fArrowheadsOK}{\sv 1}}}{\shprslt{\*\do\dobxcolumn\dobypara\dodhgt8232\dpline\dpptx0\dppty0\dpptx240\dppty0
\dpx5274\dpy164\dpxsize240\dpysize0\dplinew15\dplinecor0\dplinecog0\dplinecob0}}}{\shp{\*\shpinst\shpleft4634\shptop164\shpright4874\shpbottom164\shpfhdr0\shpbxcolumn\shpbypara\shpwr3\shpwrk0\shpfblwtxt0\shpz39\shplid1108
{\sp{\sn shapeType}{\sv 20}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn fFillOK}{\sv 0}}{\sp{\sn fFilled}{\sv 0}}
{\sp{\sn lineEndArrowhead}{\sv 1}}{\sp{\sn fArrowheadsOK}{\sv 1}}}{\shprslt{\*\do\dobxcolumn\dobypara\dodhgt8231\dpline\dpptx0\dppty0\dpptx240\dppty0\dpx4634\dpy164\dpxsize240\dpysize0\dplinew15\dplinecor0\dplinecog0\dplinecob0}}}}{\f1\fs24 (a}{
\f1\fs24\sub 1 }{\f1\fs24 a}{\f1\fs24\sub 2 }{\f1\fs24 b d)
\par {\pntext\pard\plain\cgrid \hich\af0\dbch\af0\loch\f0 -\tab}}\pard \fi-360\li750\nowidctlpar\widctlpar\jclisttab\tx750{\*\pn \pnlvlblt\ilvl0\ls4\pnrnot0\pnstart5\pnindent750\pnhang{\pntxtb -}}\ls4\adjustright {\f1\fs24 soit en calculant la deuxi\'e8
me inconnue \'e0 partir de la valeur trouv\'e9e pour la premi\'e8re
\par }\pard \qc\nowidctlpar\widctlpar\adjustright {\f1\fs24\lang1024 {\shp{\*\shpinst\shpleft5854\shptop138\shpright6214\shpbottom158\shpfhdr0\shpbxcolumn\shpbypara\shpwr3\shpwrk0\shpfblwtxt0\shpz44\shplid1113
{\sp{\sn shapeType}{\sv 20}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn fFillOK}{\sv 0}}{\sp{\sn fFilled}{\sv 0}}
{\sp{\sn lineEndArrowhead}{\sv 1}}{\sp{\sn fArrowheadsOK}{\sv 1}}}{\shprslt{\*\do\dobxcolumn\dobypara\dodhgt8236\dpline\dpptx0\dppty0\dpptx360\dppty20\dpx5854\dpy138\dpxsize360\dpysize20\dplinew15\dplinecor0\dplinecog0\dplinecob0}}}
{\shp{\*\shpinst\shpleft5274\shptop138\shpright5614\shpbottom138\shpfhdr0\shpbxcolumn\shpbypara\shpwr3\shpwrk0\shpfblwtxt0\shpz43\shplid1112{\sp{\sn shapeType}{\sv 20}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}
{\sp{\sn shapePath}{\sv 4}}{\sp{\sn fFillOK}{\sv 0}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn lineEndArrowhead}{\sv 1}}{\sp{\sn fArrowheadsOK}{\sv 1}}}{\shprslt{\*\do\dobxcolumn\dobypara\dodhgt8235\dpline\dpptx0\dppty0\dpptx340\dppty0
\dpx5274\dpy138\dpxsize340\dpysize0\dplinew15\dplinecor0\dplinecog0\dplinecob0}}}{\shp{\*\shpinst\shpleft4654\shptop158\shpright4974\shpbottom158\shpfhdr0\shpbxcolumn\shpbypara\shpwr3\shpwrk0\shpfblwtxt0\shpz42\shplid1111
{\sp{\sn shapeType}{\sv 20}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn fFillOK}{\sv 0}}{\sp{\sn fFilled}{\sv 0}}
{\sp{\sn lineEndArrowhead}{\sv 1}}{\sp{\sn fArrowheadsOK}{\sv 1}}}{\shprslt{\*\do\dobxcolumn\dobypara\dodhgt8234\dpline\dpptx0\dppty0\dpptx320\dppty0\dpx4654\dpy158\dpxsize320\dpysize0\dplinew15\dplinecor0\dplinecog0\dplinecob0}}}}{\f1\fs24 (a}{
\f1\fs24\sub 1 }{\f1\fs24 }{\f1\fs24\sub }{\f1\fs24 b }{\f1\fs24 }{\f1\fs24 }{\f1\fs24 c }{\f1\fs24 d)}{\f1\fs24
\par }\pard \nowidctlpar\widctlpar\adjustright {\f1\fs24\lang1024 {\shp{\*\shpinst\shpleft4914\shptop-6\shpright5074\shpbottom174\shpfhdr0\shpbxcolumn\shpbypara\shpwr3\shpwrk0\shpfblwtxt0\shpz45\shplid1114
{\sp{\sn shapeType}{\sv 20}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 1}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn fFillOK}{\sv 0}}{\sp{\sn fFilled}{\sv 0}}
{\sp{\sn lineEndArrowhead}{\sv 1}}{\sp{\sn fArrowheadsOK}{\sv 1}}}{\shprslt{\*\do\dobxcolumn\dobypara\dodhgt8237\dpline\dpptx160\dppty0\dpptx0\dppty180\dpx4914\dpy-6\dpxsize160\dpysize180\dplinew15\dplinecor0\dplinecog0\dplinecob0}}}}{\f1\fs24
ou a}{\f1\fs24\sub 2}{\f1\fs24
\par }\pard\plain \s1\qc\keepn\nowidctlpar\widctlpar\intbl\outlinelevel0\adjustright \f1\fs28\lang1036\cgrid {\lang1024
{\shp{\*\shpinst\shpleft-26\shptop-6\shpright10774\shpbottom15214\shpfhdr0\shpbxcolumn\shpbypara\shpwr3\shpwrk0\shpfblwtxt0\shpz46\shplid1115{\sp{\sn shapeType}{\sv 1}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}
{\sp{\sn fFilled}{\sv 0}}}{\shprslt{\*\do\dobxcolumn\dobypara\dodhgt8238\dprect\dpx-26\dpy-6\dpxsize10800\dpysize15220
\dpfillfgcr255\dpfillfgcg255\dpfillfgcb255\dpfillbgcr255\dpfillbgcg255\dpfillbgcb255\dpfillpat0\dplinew15\dplinecor0\dplinecog0\dplinecob0}}}}{\fs24 COURS\cell }\pard\plain \s3\keepn\nowidctlpar\widctlpar\intbl\outlinelevel2\adjustright
\b\f1\fs28\lang1036\cgrid {SYSTEME DE DEUX EQUATIONS A DEUX NCONNUES\cell }\pard\plain \qc\nowidctlpar\widctlpar\intbl\adjustright \fs20\lang1036\cgrid {\f1\fs24 4}{\f1\fs24 \cell }\pard \nowidctlpar\widctlpar\intbl\adjustright {\f1\fs24 \row }\pard
\nowidctlpar\widctlpar\adjustright {\f1\fs24
\par }\pard\plain \s5\keepn\nowidctlpar\widctlpar\outlinelevel4\adjustright \b\f1\ul\lang1036\cgrid III. RETROUVER UN SYSTEME D\rquote EQUATIONS
\par \pard\plain \s16\nowidctlpar\widctlpar\adjustright \f1\lang1036\cgrid {\lang1024 {\shpgrp{\*\shpinst\shpleft4273\shptop178\shpright6074\shpbottom1078\shpfhdr0\shpbxcolumn\shpbypara\shpwr3\shpwrk0\shpfblwtxt0\shpz47\shplid1116
{\sp{\sn groupLeft}{\sv 4839}}{\sp{\sn groupTop}{\sv 1671}}{\sp{\sn groupRight}{\sv 6640}}{\sp{\sn groupBottom}{\sv 2571}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn lidRegroup}{\sv 0}}{\shp{\*\shpinst\shplid1117{\sp{\sn relLeft}{\sv 4839}}
{\sp{\sn relTop}{\sv 1671}}{\sp{\sn relRight}{\sv 4977}}{\sp{\sn relBottom}{\sv 2571}}{\sp{\sn fRelFlipH}{\sv 0}}{\sp{\sn fRelFlipV}{\sv 0}}{\sp{\sn shapeType}{\sv 87}}}}{\shp{\*\shpinst\shplid1118{\sp{\sn relLeft}{\sv 5449}}{\sp{\sn relTop}{\sv 1871}}
{\sp{\sn relRight}{\sv 5449}}{\sp{\sn relBottom}{\sv 2571}}{\sp{\sn fRelFlipH}{\sv 0}}{\sp{\sn fRelFlipV}{\sv 0}}{\sp{\sn shapeType}{\sv 20}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn fFillOK}{\sv 0}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn lineDashing}{\sv 2}}
{\sp{\sn fArrowheadsOK}{\sv 1}}{\sp{\sn fLine}{\sv 1}}}}{\shp{\*\shpinst\shplid1119{\sp{\sn relLeft}{\sv 6040}}{\sp{\sn relTop}{\sv 1851}}{\sp{\sn relRight}{\sv 6040}}{\sp{\sn relBottom}{\sv 2551}}{\sp{\sn fRelFlipH}{\sv 0}}
{\sp{\sn fRelFlipV}{\sv 0}}{\sp{\sn shapeType}{\sv 20}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn fFillOK}{\sv 0}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn lineDashing}{\sv 2}}{\sp{\sn fArrowheadsOK}{\sv 1}}{\sp{\sn fLine}{\sv 1}}}}
{\shp{\*\shpinst\shplid1120{\sp{\sn relLeft}{\sv 5040}}{\sp{\sn relTop}{\sv 2351}}{\sp{\sn relRight}{\sv 6640}}{\sp{\sn relBottom}{\sv 2351}}{\sp{\sn fRelFlipH}{\sv 0}}{\sp{\sn fRelFlipV}{\sv 0}}{\sp{\sn shapeType}{\sv 20}}{\sp{\sn shapePath}{\sv 4}}
{\sp{\sn fFillOK}{\sv 0}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 1}}}}}{\shprslt{\*\do\dobxcolumn\dobypara\dodhgt8239\dppolygon\dppolycount4\dpptx0\dppty0\dpptx1801\dppty0\dpptx1801\dppty900\dpptx0\dppty900
\dpx4273\dpy178\dpxsize1801\dpysize900\dpfillfgcr255\dpfillfgcg255\dpfillfgcb255\dpfillbgcr255\dpfillbgcg255\dpfillbgcb255\dpfillpat1\dplinew15\dplinecor0\dplinecog0\dplinecob0}}}}{ Il faut savoir transformer un syst\'e8me propos\'e9
pour obtenir la forme habituelle\~:
\par }\pard\plain \qc\nowidctlpar\widctlpar\adjustright \fs20\lang1036\cgrid {\f1\fs24 }{\f1\fs24 a x + b y}{\f1\fs24 }{\f1\fs24 = c\tab }{\f1\fs24 }{\f1\fs24 (1)
\par }{\f1\fs24 }{\f1\fs24 a' x + b' y = c' (2)
\par }\pard \nowidctlpar\widctlpar\adjustright {\f1
\par }\pard \qc\nowidctlpar\widctlpar\adjustright {\b\f1\fs24\lang1024 {\shp{\*\shpinst\shpleft7914\shptop767\shpright8414\shpbottom767\shpfhdr0\shpbxcolumn\shpbypara\shpwr3\shpwrk0\shpfblwtxt0\shpz54\shplid1135
{\sp{\sn shapeType}{\sv 20}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn fFillOK}{\sv 0}}{\sp{\sn fFilled}{\sv 0}}
{\sp{\sn lineEndArrowhead}{\sv 1}}{\sp{\sn fArrowheadsOK}{\sv 1}}}{\shprslt{\*\do\dobxcolumn\dobypara\dodhgt8246\dpline\dpptx0\dppty0\dpptx500\dppty0\dpx7914\dpy767\dpxsize500\dpysize0\dplinew15\dplinecor0\dplinecog0\dplinecob0}}}
{\shp{\*\shpinst\shpleft5314\shptop127\shpright10634\shpbottom2287\shpfhdr0\shpbxcolumn\shpbypara\shpwr3\shpwrk0\shpfblwtxt0\shpz52\shplid1129{\sp{\sn shapeType}{\sv 202}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}
{\sp{\sn lTxid}{\sv 983040}}{\sp{\sn fFilled}{\sv 0}}{\shptxt {\pntext\pard\plain\f1\cgrid \hich\af1\dbch\af0\loch\f1 1)\tab}\pard\plain \fi-360\li360\nowidctlpar\widctlpar\jclisttab\tx360{\*\pn \pnlvlbody\ilvl0\ls5\pnrnot0
\pndec\pnstart1\pnindent360\pnhang{\pntxta )}}\ls5\adjustright \fs20\lang1036\cgrid {\f1\fs24
\par }\pard \nowidctlpar\widctlpar{\*\pn \pnlvlcont\ilvl0\ls0\pnrnot0\pndec }\adjustright {\f1\fs24 3x \endash 7 = y +2
\par }\pard \li360\nowidctlpar\widctlpar{\*\pn \pnlvlcont\ilvl0\ls0\pnrnot0\pndec }\adjustright {\f1\fs24 -3y +4 = 2x \endash 5 +y
\par
\par }\pard\plain \s17\li113\nowidctlpar\widctlpar{\*\pn \pnlvlcont\ilvl0\ls0\pnrnot0\pndec }\adjustright \f1\lang1036\cgrid .......................................................................................................................................
...............................................................
\par \pard\plain \li360\nowidctlpar\widctlpar{\*\pn \pnlvlcont\ilvl0\ls0\pnrnot0\pndec }\adjustright \fs20\lang1036\cgrid {\f1\fs24
\par
\par }}}{\shprslt{\*\do\dobxcolumn\dobypara\dodhgt8244\dptxbx{\dptxbxtext{\pntext\pard\plain\f1\cgrid \hich\af1\dbch\af0\loch\f1 1)\tab}\pard\plain \fi-360\li360\nowidctlpar\widctlpar\jclisttab\tx360{\*\pn \pnlvlbody\ilvl0\ls5\pnrnot0
\pndec\pnstart1\pnindent360\pnhang{\pntxta )}}\ls5\adjustright \fs20\lang1036\cgrid {\f1\fs24
\par }\pard \nowidctlpar\widctlpar{\*\pn \pnlvlcont\ilvl0\ls0\pnrnot0\pndec }\adjustright {\f1\fs24 3x \endash 7 = y +2
\par }\pard \li360\nowidctlpar\widctlpar{\*\pn \pnlvlcont\ilvl0\ls0\pnrnot0\pndec }\adjustright {\f1\fs24 -3y +4 = 2x \endash 5 +y
\par
\par }\pard\plain \s17\li113\nowidctlpar\widctlpar{\*\pn \pnlvlcont\ilvl0\ls0\pnrnot0\pndec }\adjustright \f1\lang1036\cgrid .......................................................................................................................................
...............................................................
\par \pard\plain \li360\nowidctlpar\widctlpar{\*\pn \pnlvlcont\ilvl0\ls0\pnrnot0\pndec }\adjustright \fs20\lang1036\cgrid {\f1\fs24
\par
\par }}\dpx5314\dpy127\dpxsize5320\dpysize2160\dpfillfgcr255\dpfillfgcg255\dpfillfgcb255\dpfillbgcr255\dpfillbgcg255\dpfillbgcb255\dpfillpat0\dplinew15\dplinecor0\dplinecog0\dplinecob0}}}
{\shp{\*\shpinst\shpleft-6\shptop127\shpright5314\shpbottom2287\shpfhdr0\shpbxcolumn\shpbypara\shpwr3\shpwrk0\shpfblwtxt0\shpz48\shplid1121{\sp{\sn shapeType}{\sv 202}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}
{\sp{\sn lTxid}{\sv 1048576}}{\sp{\sn fFilled}{\sv 0}}{\shptxt {\pntext\pard\plain\f1\cgrid \hich\af1\dbch\af0\loch\f1 2)\tab}\pard\plain \fi-360\li360\nowidctlpar\widctlpar\jclisttab\tx360{\*\pn \pnlvlbody\ilvl0\ls5\pnrnot0
\pndec\pnstart1\pnindent360\pnhang{\pntxta )}}\ls5\adjustright \fs20\lang1036\cgrid {\f1\fs24
\par }\pard \nowidctlpar\widctlpar\adjustright {\f1\fs24 5 \endash 4y = 2x
\par }\pard \li360\nowidctlpar\widctlpar\adjustright {\f1\fs24 y + 2x = 7
\par
\par }\pard\plain \s17\li113\nowidctlpar\widctlpar\adjustright \f1\lang1036\cgrid .......................................................................................................................................
...............................................................
\par \pard\plain \li360\nowidctlpar\widctlpar\adjustright \fs20\lang1036\cgrid {\f1\fs24
\par
\par }}}{\shprslt{\*\do\dobxcolumn\dobypara\dodhgt8240\dptxbx{\dptxbxtext{\pntext\pard\plain\f1\cgrid \hich\af1\dbch\af0\loch\f1 2)\tab}\pard\plain \fi-360\li360\nowidctlpar\widctlpar\jclisttab\tx360{\*\pn \pnlvlbody\ilvl0\ls5\pnrnot0
\pndec\pnstart1\pnindent360\pnhang{\pntxta )}}\ls5\adjustright \fs20\lang1036\cgrid {\f1\fs24
\par }\pard \nowidctlpar\widctlpar\adjustright {\f1\fs24 5 \endash 4y = 2x
\par }\pard \li360\nowidctlpar\widctlpar\adjustright {\f1\fs24 y + 2x = 7
\par
\par }\pard\plain \s17\li113\nowidctlpar\widctlpar\adjustright \f1\lang1036\cgrid .......................................................................................................................................
...............................................................
\par \pard\plain \li360\nowidctlpar\widctlpar\adjustright \fs20\lang1036\cgrid {\f1\fs24
\par
\par }}\dpx-6\dpy127\dpxsize5320\dpysize2160\dpfillfgcr255\dpfillfgcg255\dpfillfgcb255\dpfillbgcr255\dpfillbgcg255\dpfillbgcb255\dpfillpat0\dplinew15\dplinecor0\dplinecog0\dplinecob0}}}}{\b\f1\fs24
\par }\pard \nowidctlpar\widctlpar\adjustright {\f1\fs24\lang1024 {\shp{\*\shpinst\shpleft5573\shptop154\shpright5714\shpbottom894\shpfhdr0\shpbxcolumn\shpbypara\shpwr3\shpwrk0\shpfblwtxt0\shpz55\shplid1136
{\sp{\sn shapeType}{\sv 87}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}}{\shprslt{\*\do\dobxcolumn\dobypara\dodhgt8247\dppolygon\dppolycount67\dpptx141\dppty0\dpptx134\dppty0\dpptx127\dppty1\dpptx120\dppty2\dpptx113\dppty5\dpptx107\dppty7
\dpptx102\dppty11\dpptx96\dppty14\dpptx91\dppty18\dpptx86\dppty23\dpptx82\dppty27\dpptx79\dppty32\dpptx76\dppty38\dpptx74\dppty43\dpptx72\dppty49\dpptx71\dppty56\dpptx70\dppty62\dpptx70\dppty308\dpptx70\dppty314\dpptx69\dppty321\dpptx67\dppty327
\dpptx65\dppty332\dpptx62\dppty337\dpptx58\dppty342\dpptx54\dppty347\dpptx50\dppty352\dpptx45\dppty355\dpptx39\dppty359\dpptx34\dppty362\dpptx28\dppty365\dpptx21\dppty367\dpptx14\dppty368\dpptx7\dppty369\dpptx0\dppty369\dpptx7\dppty369\dpptx14\dppty371
\dpptx21\dppty372\dpptx28\dppty374\dpptx34\dppty377\dpptx39\dppty380\dpptx45\dppty384\dpptx50\dppty388\dpptx54\dppty392\dpptx58\dppty398\dpptx62\dppty403\dpptx65\dppty408\dpptx67\dppty413\dpptx69\dppty419\dpptx70\dppty426\dpptx70\dppty432\dpptx70\dppty678
\dpptx71\dppty684\dpptx72\dppty691\dpptx74\dppty697\dpptx76\dppty702\dpptx79\dppty708\dpptx82\dppty713\dpptx86\dppty717\dpptx91\dppty722\dpptx96\dppty726\dpptx102\dppty729\dpptx107\dppty733\dpptx113\dppty735\dpptx120\dppty738\dpptx127\dppty739
\dpptx134\dppty740\dpptx141\dppty740\dpx5573\dpy154\dpxsize141\dpysize740\dpfillfgcr255\dpfillfgcg255\dpfillfgcb255\dpfillbgcr255\dpfillbgcg255\dpfillbgcb255\dpfillpat0\dplinew15\dplinecor0\dplinecog0\dplinecob0}}}
{\shpgrp{\*\shpinst\shpleft8413\shptop5\shpright10214\shpbottom905\shpfhdr0\shpbxcolumn\shpbypara\shpwr3\shpwrk0\shpfblwtxt0\shpz53\shplid1130{\sp{\sn groupLeft}{\sv 4839}}{\sp{\sn groupTop}{\sv 1671}}{\sp{\sn groupRight}{\sv 6640}}
{\sp{\sn groupBottom}{\sv 2571}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn lidRegroup}{\sv 0}}{\shp{\*\shpinst\shplid1131{\sp{\sn relLeft}{\sv 4839}}{\sp{\sn relTop}{\sv 1671}}{\sp{\sn relRight}{\sv 4977}}{\sp{\sn relBottom}{\sv 2571}}
{\sp{\sn fRelFlipH}{\sv 0}}{\sp{\sn fRelFlipV}{\sv 0}}{\sp{\sn shapeType}{\sv 87}}}}{\shp{\*\shpinst\shplid1132{\sp{\sn relLeft}{\sv 5449}}{\sp{\sn relTop}{\sv 1871}}{\sp{\sn relRight}{\sv 5449}}{\sp{\sn relBottom}{\sv 2571}}{\sp{\sn fRelFlipH}{\sv 0}}
{\sp{\sn fRelFlipV}{\sv 0}}{\sp{\sn shapeType}{\sv 20}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn fFillOK}{\sv 0}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn lineDashing}{\sv 2}}{\sp{\sn fArrowheadsOK}{\sv 1}}{\sp{\sn fLine}{\sv 1}}}}
{\shp{\*\shpinst\shplid1133{\sp{\sn relLeft}{\sv 6040}}{\sp{\sn relTop}{\sv 1851}}{\sp{\sn relRight}{\sv 6040}}{\sp{\sn relBottom}{\sv 2551}}{\sp{\sn fRelFlipH}{\sv 0}}{\sp{\sn fRelFlipV}{\sv 0}}{\sp{\sn shapeType}{\sv 20}}{\sp{\sn shapePath}{\sv 4}}
{\sp{\sn fFillOK}{\sv 0}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn lineDashing}{\sv 2}}{\sp{\sn fArrowheadsOK}{\sv 1}}{\sp{\sn fLine}{\sv 1}}}}{\shp{\*\shpinst\shplid1134{\sp{\sn relLeft}{\sv 5040}}{\sp{\sn relTop}{\sv 2351}}
{\sp{\sn relRight}{\sv 6640}}{\sp{\sn relBottom}{\sv 2351}}{\sp{\sn fRelFlipH}{\sv 0}}{\sp{\sn fRelFlipV}{\sv 0}}{\sp{\sn shapeType}{\sv 20}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn fFillOK}{\sv 0}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 1}}}}
}{\shprslt{\*\do\dobxcolumn\dobypara\dodhgt8245\dppolygon\dppolycount4\dpptx0\dppty0\dpptx1801\dppty0\dpptx1801\dppty900\dpptx0\dppty900\dpx8413\dpy5\dpxsize1801\dpysize900
\dpfillfgcr255\dpfillfgcg255\dpfillfgcb255\dpfillbgcr255\dpfillbgcg255\dpfillbgcb255\dpfillpat1\dplinew15\dplinecor0\dplinecog0\dplinecob0}}}
{\shpgrp{\*\shpinst\shpleft2773\shptop85\shpright4574\shpbottom985\shpfhdr0\shpbxcolumn\shpbypara\shpwr3\shpwrk0\shpfblwtxt0\shpz49\shplid1122{\sp{\sn groupLeft}{\sv 4839}}{\sp{\sn groupTop}{\sv 1671}}{\sp{\sn groupRight}{\sv 6640}}
{\sp{\sn groupBottom}{\sv 2571}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn lidRegroup}{\sv 0}}{\shp{\*\shpinst\shplid1123{\sp{\sn relLeft}{\sv 4839}}{\sp{\sn relTop}{\sv 1671}}{\sp{\sn relRight}{\sv 4977}}{\sp{\sn relBottom}{\sv 2571}}
{\sp{\sn fRelFlipH}{\sv 0}}{\sp{\sn fRelFlipV}{\sv 0}}{\sp{\sn shapeType}{\sv 87}}}}{\shp{\*\shpinst\shplid1124{\sp{\sn relLeft}{\sv 5449}}{\sp{\sn relTop}{\sv 1871}}{\sp{\sn relRight}{\sv 5449}}{\sp{\sn relBottom}{\sv 2571}}{\sp{\sn fRelFlipH}{\sv 0}}
{\sp{\sn fRelFlipV}{\sv 0}}{\sp{\sn shapeType}{\sv 20}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn fFillOK}{\sv 0}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn lineDashing}{\sv 2}}{\sp{\sn fArrowheadsOK}{\sv 1}}{\sp{\sn fLine}{\sv 1}}}}
{\shp{\*\shpinst\shplid1125{\sp{\sn relLeft}{\sv 6040}}{\sp{\sn relTop}{\sv 1851}}{\sp{\sn relRight}{\sv 6040}}{\sp{\sn relBottom}{\sv 2551}}{\sp{\sn fRelFlipH}{\sv 0}}{\sp{\sn fRelFlipV}{\sv 0}}{\sp{\sn shapeType}{\sv 20}}{\sp{\sn shapePath}{\sv 4}}
{\sp{\sn fFillOK}{\sv 0}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn lineDashing}{\sv 2}}{\sp{\sn fArrowheadsOK}{\sv 1}}{\sp{\sn fLine}{\sv 1}}}}{\shp{\*\shpinst\shplid1126{\sp{\sn relLeft}{\sv 5040}}{\sp{\sn relTop}{\sv 2351}}
{\sp{\sn relRight}{\sv 6640}}{\sp{\sn relBottom}{\sv 2351}}{\sp{\sn fRelFlipH}{\sv 0}}{\sp{\sn fRelFlipV}{\sv 0}}{\sp{\sn shapeType}{\sv 20}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn fFillOK}{\sv 0}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 1}}}}
}{\shprslt{\*\do\dobxcolumn\dobypara\dodhgt8241\dppolygon\dppolycount4\dpptx0\dppty0\dpptx1801\dppty0\dpptx1801\dppty900\dpptx0\dppty900\dpx2773\dpy85\dpxsize1801\dpysize900
\dpfillfgcr255\dpfillfgcg255\dpfillfgcb255\dpfillbgcr255\dpfillbgcg255\dpfillbgcb255\dpfillpat1\dplinew15\dplinecor0\dplinecog0\dplinecob0}}}
{\shp{\*\shpinst\shpleft354\shptop114\shpright495\shpbottom874\shpfhdr0\shpbxcolumn\shpbypara\shpwr3\shpwrk0\shpfblwtxt0\shpz51\shplid1128
{\sp{\sn shapeType}{\sv 87}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}}{\shprslt{\*\do\dobxcolumn\dobypara\dodhgt8243\dppolygon\dppolycount67\dpptx141\dppty0\dpptx134\dppty0\dpptx127\dppty1\dpptx120\dppty2\dpptx113\dppty5\dpptx107\dppty7
\dpptx102\dppty11\dpptx96\dppty15\dpptx91\dppty18\dpptx86\dppty23\dpptx82\dppty28\dpptx79\dppty33\dpptx76\dppty39\dpptx74\dppty44\dpptx72\dppty50\dpptx71\dppty57\dpptx70\dppty63\dpptx70\dppty316\dpptx70\dppty322\dpptx69\dppty330\dpptx67\dppty336
\dpptx65\dppty340\dpptx62\dppty347\dpptx58\dppty351\dpptx54\dppty356\dpptx50\dppty361\dpptx45\dppty365\dpptx39\dppty368\dpptx34\dppty372\dpptx28\dppty375\dpptx21\dppty377\dpptx14\dppty378\dpptx7\dppty379\dpptx0\dppty379\dpptx7\dppty379\dpptx14\dppty381
\dpptx21\dppty382\dpptx28\dppty384\dpptx34\dppty387\dpptx39\dppty390\dpptx45\dppty394\dpptx50\dppty399\dpptx54\dppty402\dpptx58\dppty409\dpptx62\dppty413\dpptx65\dppty420\dpptx67\dppty424\dpptx69\dppty430\dpptx70\dppty438\dpptx70\dppty444\dpptx70\dppty697
\dpptx71\dppty703\dpptx72\dppty710\dpptx74\dppty716\dpptx76\dppty721\dpptx79\dppty727\dpptx82\dppty732\dpptx86\dppty737\dpptx91\dppty742\dpptx96\dppty745\dpptx102\dppty749\dpptx107\dppty753\dpptx113\dppty755\dpptx120\dppty758\dpptx127\dppty759
\dpptx134\dppty760\dpptx141\dppty760\dpx354\dpy114\dpxsize141\dpysize760\dpfillfgcr255\dpfillfgcg255\dpfillfgcb255\dpfillbgcr255\dpfillbgcg255\dpfillbgcb255\dpfillpat0\dplinew15\dplinecor0\dplinecog0\dplinecob0}}}}{\f1\fs24 \tab \tab
\par }{\b\f1\fs24\lang1024 {\shp{\*\shpinst\shpleft2034\shptop251\shpright2574\shpbottom251\shpfhdr0\shpbxcolumn\shpbypara\shpwr3\shpwrk0\shpfblwtxt0\shpz50\shplid1127{\sp{\sn shapeType}{\sv 20}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}
{\sp{\sn shapePath}{\sv 4}}{\sp{\sn fFillOK}{\sv 0}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn lineEndArrowhead}{\sv 1}}{\sp{\sn fArrowheadsOK}{\sv 1}}}{\shprslt{\*\do\dobxcolumn\dobypara\dodhgt8242\dpline\dpptx0\dppty0\dpptx540\dppty0
\dpx2034\dpy251\dpxsize540\dpysize0\dplinew15\dplinecor0\dplinecog0\dplinecob0}}}}{\f1\fs24
\par
\par
\par
\par
\par
\par }{\f1\fs24\lang1024 {\shp{\*\shpinst\shpleft2954\shptop272\shpright3095\shpbottom1032\shpfhdr0\shpbxcolumn\shpbypara\shpwr3\shpwrk0\shpfblwtxt0\shpz62\shplid1143
{\sp{\sn shapeType}{\sv 87}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}}{\shprslt{\*\do\dobxcolumn\dobypara\dodhgt8254\dppolygon\dppolycount67\dpptx141\dppty0\dpptx134\dppty0\dpptx127\dppty1\dpptx120\dppty2\dpptx113\dppty5\dpptx107\dppty7
\dpptx102\dppty11\dpptx96\dppty15\dpptx91\dppty18\dpptx86\dppty23\dpptx82\dppty28\dpptx79\dppty33\dpptx76\dppty39\dpptx74\dppty44\dpptx72\dppty50\dpptx71\dppty57\dpptx70\dppty63\dpptx70\dppty316\dpptx70\dppty322\dpptx69\dppty330\dpptx67\dppty336
\dpptx65\dppty340\dpptx62\dppty347\dpptx58\dppty351\dpptx54\dppty356\dpptx50\dppty361\dpptx45\dppty365\dpptx39\dppty368\dpptx34\dppty372\dpptx28\dppty375\dpptx21\dppty377\dpptx14\dppty378\dpptx7\dppty379\dpptx0\dppty379\dpptx7\dppty379\dpptx14\dppty381
\dpptx21\dppty382\dpptx28\dppty384\dpptx34\dppty387\dpptx39\dppty390\dpptx45\dppty394\dpptx50\dppty399\dpptx54\dppty402\dpptx58\dppty409\dpptx62\dppty413\dpptx65\dppty420\dpptx67\dppty424\dpptx69\dppty430\dpptx70\dppty438\dpptx70\dppty444\dpptx70\dppty697
\dpptx71\dppty703\dpptx72\dppty710\dpptx74\dppty716\dpptx76\dppty721\dpptx79\dppty727\dpptx82\dppty732\dpptx86\dppty737\dpptx91\dppty742\dpptx96\dppty745\dpptx102\dppty749\dpptx107\dppty753\dpptx113\dppty755\dpptx120\dppty758\dpptx127\dppty759
\dpptx134\dppty760\dpptx141\dppty760\dpx2954\dpy272\dpxsize141\dpysize760\dpfillfgcr255\dpfillfgcg255\dpfillfgcb255\dpfillbgcr255\dpfillbgcg255\dpfillbgcb255\dpfillpat0\dplinew15\dplinecor0\dplinecog0\dplinecob0}}}
{\shp{\*\shpinst\shpleft5314\shptop12\shpright10754\shpbottom3312\shpfhdr0\shpbxcolumn\shpbypara\shpwr3\shpwrk0\shpfblwtxt0\shpz57\shplid1138{\sp{\sn shapeType}{\sv 202}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}
{\sp{\sn lTxid}{\sv 1114112}}{\shptxt \pard\plain \nowidctlpar\widctlpar\adjustright \fs20\lang1036\cgrid {\f1\fs24 4)
\par }{\pard\plain \nowidctlpar\widctlpar\adjustright \f1\lang1036\cgrid {\object\objemb\objw1359\objh1280{\*\objclass Equation.3}{\*\objdata 01050000020000000b0000004571756174696f6e2e33000000000000000000000c0000
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\pard\plain \nowidctlpar\widctlpar\adjustright \fs20\lang1036\cgrid {\f1\fs24 3)
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\par }{\f1\fs24\lang1024 {\shp{\*\shpinst\shpleft2354\shptop146\shpright2774\shpbottom146\shpfhdr0\shpbxcolumn\shpbypara\shpwr3\shpwrk0\shpfblwtxt0\shpz63\shplid1144{\sp{\sn shapeType}{\sv 20}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}
{\sp{\sn shapePath}{\sv 4}}{\sp{\sn fFillOK}{\sv 0}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn lineEndArrowhead}{\sv 1}}{\sp{\sn fArrowheadsOK}{\sv 1}}}{\shprslt{\*\do\dobxcolumn\dobypara\dodhgt8255\dpline\dpptx0\dppty0\dpptx420\dppty0
\dpx2354\dpy146\dpxsize420\dpysize0\dplinew15\dplinecor0\dplinecog0\dplinecob0}}}}{\f1\fs24
\par }{\f1\fs24\lang1024 {\shp{\*\shpinst\shpleft7114\shptop182\shpright7574\shpbottom182\shpfhdr0\shpbxcolumn\shpbypara\shpwr3\shpwrk0\shpfblwtxt0\shpz61\shplid1142{\sp{\sn shapeType}{\sv 20}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}
{\sp{\sn shapePath}{\sv 4}}{\sp{\sn fFillOK}{\sv 0}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn lineEndArrowhead}{\sv 1}}{\sp{\sn fArrowheadsOK}{\sv 1}}}{\shprslt{\*\do\dobxcolumn\dobypara\dodhgt8253\dpline\dpptx0\dppty0\dpptx460\dppty0
\dpx7114\dpy182\dpxsize460\dpysize0\dplinew15\dplinecor0\dplinecog0\dplinecob0}}}}{\f1\fs24
\par
\par }{\f1\fs24\lang1024 {\shp{\*\shpinst\shpleft53\shptop136\shpright194\shpbottom1076\shpfhdr0\shpbxcolumn\shpbypara\shpwr3\shpwrk0\shpfblwtxt0\shpz64\shplid1145
{\sp{\sn shapeType}{\sv 87}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}}{\shprslt{\*\do\dobxcolumn\dobypara\dodhgt8256\dppolygon\dppolycount67\dpptx141\dppty0\dpptx134\dppty0\dpptx127\dppty2\dpptx120\dppty3\dpptx113\dppty6\dpptx107\dppty9
\dpptx102\dppty14\dpptx96\dppty18\dpptx91\dppty23\dpptx86\dppty29\dpptx82\dppty35\dpptx79\dppty41\dpptx76\dppty48\dpptx74\dppty54\dpptx72\dppty62\dpptx71\dppty71\dpptx70\dppty78\dpptx70\dppty391\dpptx70\dppty399\dpptx69\dppty408\dpptx67\dppty415
\dpptx65\dppty421\dpptx62\dppty429\dpptx58\dppty435\dpptx54\dppty441\dpptx50\dppty447\dpptx45\dppty451\dpptx39\dppty456\dpptx34\dppty460\dpptx28\dppty463\dpptx21\dppty466\dpptx14\dppty468\dpptx7\dppty469\dpptx0\dppty469\dpptx7\dppty469\dpptx14\dppty471
\dpptx21\dppty472\dpptx28\dppty475\dpptx34\dppty478\dpptx39\dppty483\dpptx45\dppty487\dpptx50\dppty493\dpptx54\dppty498\dpptx58\dppty505\dpptx62\dppty511\dpptx65\dppty519\dpptx67\dppty525\dpptx69\dppty532\dpptx70\dppty541\dpptx70\dppty549\dpptx70\dppty862
\dpptx71\dppty869\dpptx72\dppty878\dpptx74\dppty886\dpptx76\dppty892\dpptx79\dppty899\dpptx82\dppty905\dpptx86\dppty911\dpptx91\dppty917\dpptx96\dppty922\dpptx102\dppty926\dpptx107\dppty931\dpptx113\dppty934\dpptx120\dppty937\dpptx127\dppty938
\dpptx134\dppty940\dpptx141\dppty940\dpx53\dpy136\dpxsize141\dpysize940\dpfillfgcr255\dpfillfgcg255\dpfillfgcb255\dpfillbgcr255\dpfillbgcg255\dpfillbgcb255\dpfillpat0\dplinew15\dplinecor0\dplinecog0\dplinecob0}}}}{\f1\fs24
\par }{\f1\fs24\lang1024 {\shp{\*\shpinst\shpleft5473\shptop213\shpright5634\shpbottom1113\shpfhdr0\shpbxcolumn\shpbypara\shpwr3\shpwrk0\shpfblwtxt0\shpz65\shplid1146
{\sp{\sn shapeType}{\sv 87}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}}{\shprslt{\*\do\dobxcolumn\dobypara\dodhgt8257\dppolygon\dppolycount67\dpptx161\dppty0\dpptx153\dppty0\dpptx145\dppty1\dpptx137\dppty3\dpptx130\dppty6\dpptx123\dppty9
\dpptx116\dppty13\dpptx110\dppty17\dpptx104\dppty22\dpptx99\dppty27\dpptx94\dppty33\dpptx90\dppty39\dpptx87\dppty46\dpptx84\dppty52\dpptx82\dppty59\dpptx81\dppty68\dpptx80\dppty75\dpptx80\dppty374\dpptx80\dppty382\dpptx79\dppty390\dpptx77\dppty397
\dpptx74\dppty403\dpptx71\dppty410\dpptx67\dppty416\dpptx62\dppty422\dpptx57\dppty428\dpptx51\dppty432\dpptx45\dppty436\dpptx38\dppty441\dpptx31\dppty444\dpptx24\dppty446\dpptx16\dppty448\dpptx8\dppty449\dpptx0\dppty449\dpptx8\dppty449\dpptx16\dppty451
\dpptx24\dppty452\dpptx31\dppty455\dpptx38\dppty458\dpptx45\dppty462\dpptx51\dppty467\dpptx57\dppty472\dpptx62\dppty477\dpptx67\dppty484\dpptx71\dppty490\dpptx74\dppty497\dpptx77\dppty503\dpptx79\dppty510\dpptx80\dppty518\dpptx80\dppty526\dpptx80\dppty825
\dpptx81\dppty832\dpptx82\dppty841\dpptx84\dppty848\dpptx87\dppty854\dpptx90\dppty861\dpptx94\dppty867\dpptx99\dppty873\dpptx104\dppty878\dpptx110\dppty883\dpptx116\dppty887\dpptx123\dppty891\dpptx130\dppty894\dpptx137\dppty897\dpptx145\dppty899
\dpptx153\dppty900\dpptx161\dppty900\dpx5473\dpy213\dpxsize161\dpysize900\dpfillfgcr255\dpfillfgcg255\dpfillfgcb255\dpfillbgcr255\dpfillbgcg255\dpfillbgcb255\dpfillpat0\dplinew15\dplinecor0\dplinecog0\dplinecob0}}}}{\f1\fs24
\par
\par
\par
\par
\par
\par
\par }{\b\f1\fs24\ul VI - RESOUDRE UN PROBLEME AVEC UN SYSTEME D'EQUATIONS}{\b\f1\fs28 :
\par }{\f1\fs24
\par \tab Une somme de 32F est constitu\'e9e par 10 pi\'e8ces, les unes de 5F, les autres de 2F.
\par \tab D\'e9terminer le nombre de pi\'e8ces de chaque sorte.
\par
\par 1) Bien lire l'\'e9nonc\'e9.
\par 2) Choisir les inconnues x et y : Appelons ..........................................................................................
\par ........................................................................................
\par }{\f1\fs24\lang1024 {\shp{\*\shpinst\shpleft3814\shptop177\shpright4014\shpbottom1157\shpfhdr0\shpbxcolumn\shpbypara\shpwr3\shpwrk0\shpfblwtxt0\shpz66\shplid1147
{\sp{\sn shapeType}{\sv 87}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}}{\shprslt{\*\do\dobxcolumn\dobypara\dodhgt8258\dppolygon\dppolycount67\dpptx200\dppty0\dpptx190\dppty0\dpptx180\dppty2\dpptx170\dppty3\dpptx161\dppty6\dpptx152\dppty9
\dpptx144\dppty14\dpptx136\dppty19\dpptx129\dppty24\dpptx123\dppty30\dpptx117\dppty36\dpptx112\dppty42\dpptx108\dppty50\dpptx104\dppty56\dpptx102\dppty64\dpptx100\dppty74\dpptx100\dppty82\dpptx100\dppty408\dpptx99\dppty416\dpptx98\dppty425
\dpptx95\dppty433\dpptx92\dppty439\dpptx88\dppty447\dpptx83\dppty453\dpptx77\dppty459\dpptx71\dppty466\dpptx64\dppty470\dpptx56\dppty475\dpptx48\dppty480\dpptx39\dppty483\dpptx30\dppty486\dpptx20\dppty488\dpptx10\dppty489\dpptx0\dppty489\dpptx10\dppty489
\dpptx20\dppty491\dpptx30\dppty492\dpptx39\dppty495\dpptx48\dppty499\dpptx56\dppty503\dpptx64\dppty508\dpptx71\dppty514\dpptx77\dppty519\dpptx83\dppty527\dpptx88\dppty533\dpptx92\dppty541\dpptx95\dppty547\dpptx98\dppty555\dpptx99\dppty564
\dpptx100\dppty572\dpptx100\dppty898\dpptx100\dppty906\dpptx102\dppty916\dpptx104\dppty924\dpptx108\dppty930\dpptx112\dppty938\dpptx117\dppty944\dpptx123\dppty950\dpptx129\dppty956\dpptx136\dppty961\dpptx144\dppty966\dpptx152\dppty971\dpptx161\dppty974
\dpptx170\dppty977\dpptx180\dppty978\dpptx190\dppty980\dpptx200\dppty980\dpx3814\dpy177\dpxsize200\dpysize980\dpfillfgcr255\dpfillfgcg255\dpfillfgcb255\dpfillbgcr255\dpfillbgcg255\dpfillbgcb255\dpfillpat0\dplinew15\dplinecor0\dplinecog0\dplinecob0}}}}{
\f1\fs24
\par 3) Etablir le syst\'e8me d'\'e9quations :
\par
\par
\par
\par
\par 4) Choisir l'une des deux m\'e9thodes
\par (r\'e9solution par substitution ou par addition)
\par et r\'e9soudre:
\par
\par
\par
\par
\par 5) Enoncer clairement la solution avec une phrase:
\par
\par
\par
\par }\pard\plain \s4\qc\keepn\nowidctlpar\widctlpar\outlinelevel3\adjustright \b\f1\fs32\lang1036\cgrid {EXERCICES DE MATHEMATIQUES
\par }\pard\plain \nowidctlpar\widctlpar\adjustright \fs20\lang1036\cgrid {\b\f1\fs32
\par
\par EXERCICE I\~:
\par }{\b\f1\fs24\ul Exercice :
\par }{\f1\fs24
\par \tab R\'e9soudre le syst\'e8me suivant :
\par \tab \tab
\par \tab \tab 2x + y = 5
\par \tab \tab 4x + 3y = 1
\par }{\f1
\par }{\f1\fs24 R\'e9soudre les syst\'e8mes suivants\~:
\par
\par }\pard \li454\nowidctlpar\widctlpar\adjustright {\f1\fs24 3x-y=1\tab \tab 7x+4y=6\tab 9t-7u=8\tab \tab 7x-2y=4
\par 6x-3y=-3\tab 5x+2y=0\tab -2t+7u=20\tab \tab 3x+4y=6
\par }\pard \qc\nowidctlpar\widctlpar\adjustright {\f1\fs24
\par }\pard \nowidctlpar\widctlpar\adjustright {\f1
\par }{\b\f1\fs32 EXERCICE II\~:}{\f1
\par }{\f1\fs24 Avec une balance \'e0 deux plateaux on a obtenu les deux \'e9quilibres suivants\~:}{\f1
\par
\par }{\lang1024 {\shpgrp{\*\shpinst\shpleft610\shptop123\shpright9971\shpbottom2538\shpfhdr0\shpbxcolumn\shpbypara\shpwr3\shpwrk0\shpfblwtxt0\shpz0\shplid1026{\sp{\sn groupLeft}{\sv 1296}}{\sp{\sn groupTop}{\sv 5334}}{\sp{\sn groupRight}{\sv 10657}}
{\sp{\sn groupBottom}{\sv 7749}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn lidRegroup}{\sv 0}}{\shp{\*\shpinst\shplid1027{\sp{\sn relLeft}{\sv 1584}}{\sp{\sn relTop}{\sv 5891}}{\sp{\sn relRight}{\sv 2593}}{\sp{\sn relBottom}{\sv 5892}}
{\sp{\sn fRelFlipH}{\sv 0}}{\sp{\sn fRelFlipV}{\sv 0}}{\sp{\sn shapeType}{\sv 20}}{\sp{\sn lineColor}{\sv 255}}{\sp{\sn lineWidth}{\sv 12700}}{\sp{\sn lineStartArrowWidth}{\sv 0}}{\sp{\sn lineStartArrowLength}{\sv 0}}{\sp{\sn lineEndArrowWidth}{\sv 0}}
{\sp{\sn lineEndArrowLength}{\sv 0}}{\sp{\sn fShadow}{\sv 0}}}}{\shp{\*\shpinst\shplid1028{\sp{\sn relLeft}{\sv 3744}}{\sp{\sn relTop}{\sv 5891}}{\sp{\sn relRight}{\sv 4897}}{\sp{\sn relBottom}{\sv 5892}}{\sp{\sn fRelFlipH}{\sv 0}}
{\sp{\sn fRelFlipV}{\sv 0}}{\sp{\sn shapeType}{\sv 20}}{\sp{\sn lineColor}{\sv 255}}{\sp{\sn lineWidth}{\sv 12700}}{\sp{\sn lineStartArrowWidth}{\sv 0}}{\sp{\sn lineStartArrowLength}{\sv 0}}{\sp{\sn lineEndArrowWidth}{\sv 0}}
{\sp{\sn lineEndArrowLength}{\sv 0}}{\sp{\sn fShadow}{\sv 0}}}}{\shp{\*\shpinst\shplid1029{\sp{\sn relLeft}{\sv 6768}}{\sp{\sn relTop}{\sv 5891}}{\sp{\sn relRight}{\sv 8065}}{\sp{\sn relBottom}{\sv 5892}}{\sp{\sn fRelFlipH}{\sv 0}}
{\sp{\sn fRelFlipV}{\sv 0}}{\sp{\sn shapeType}{\sv 20}}{\sp{\sn lineColor}{\sv 255}}{\sp{\sn lineWidth}{\sv 12700}}{\sp{\sn lineStartArrowWidth}{\sv 0}}{\sp{\sn lineStartArrowLength}{\sv 0}}{\sp{\sn lineEndArrowWidth}{\sv 0}}
{\sp{\sn lineEndArrowLength}{\sv 0}}{\sp{\sn fShadow}{\sv 0}}}}{\shp{\*\shpinst\shplid1030{\sp{\sn relLeft}{\sv 9216}}{\sp{\sn relTop}{\sv 5891}}{\sp{\sn relRight}{\sv 10657}}{\sp{\sn relBottom}{\sv 5892}}{\sp{\sn fRelFlipH}{\sv 0}}
{\sp{\sn fRelFlipV}{\sv 0}}{\sp{\sn shapeType}{\sv 20}}{\sp{\sn lineColor}{\sv 255}}{\sp{\sn lineWidth}{\sv 12700}}{\sp{\sn lineStartArrowWidth}{\sv 0}}{\sp{\sn lineStartArrowLength}{\sv 0}}{\sp{\sn lineEndArrowWidth}{\sv 0}}
{\sp{\sn lineEndArrowLength}{\sv 0}}{\sp{\sn fShadow}{\sv 0}}}}{\shp{\*\shpinst\shplid1031{\sp{\sn relLeft}{\sv 2016}}{\sp{\sn relTop}{\sv 5891}}{\sp{\sn relRight}{\sv 2017}}{\sp{\sn relBottom}{\sv 6756}}{\sp{\sn fRelFlipH}{\sv 0}}
{\sp{\sn fRelFlipV}{\sv 0}}{\sp{\sn shapeType}{\sv 20}}{\sp{\sn lineColor}{\sv 255}}{\sp{\sn lineWidth}{\sv 12700}}{\sp{\sn lineStartArrowWidth}{\sv 0}}{\sp{\sn lineStartArrowLength}{\sv 0}}{\sp{\sn lineEndArrowWidth}{\sv 0}}
{\sp{\sn lineEndArrowLength}{\sv 0}}{\sp{\sn fShadow}{\sv 0}}}}{\shp{\*\shpinst\shplid1032{\sp{\sn relLeft}{\sv 4176}}{\sp{\sn relTop}{\sv 5891}}{\sp{\sn relRight}{\sv 4177}}{\sp{\sn relBottom}{\sv 6756}}{\sp{\sn fRelFlipH}{\sv 0}}
{\sp{\sn fRelFlipV}{\sv 0}}{\sp{\sn shapeType}{\sv 20}}{\sp{\sn lineColor}{\sv 255}}{\sp{\sn lineWidth}{\sv 12700}}{\sp{\sn lineStartArrowWidth}{\sv 0}}{\sp{\sn lineStartArrowLength}{\sv 0}}{\sp{\sn lineEndArrowWidth}{\sv 0}}
{\sp{\sn lineEndArrowLength}{\sv 0}}{\sp{\sn fShadow}{\sv 0}}}}{\shp{\*\shpinst\shplid1033{\sp{\sn relLeft}{\sv 7344}}{\sp{\sn relTop}{\sv 5891}}{\sp{\sn relRight}{\sv 7345}}{\sp{\sn relBottom}{\sv 6612}}{\sp{\sn fRelFlipH}{\sv 0}}
{\sp{\sn fRelFlipV}{\sv 0}}{\sp{\sn shapeType}{\sv 20}}{\sp{\sn lineColor}{\sv 255}}{\sp{\sn lineWidth}{\sv 12700}}{\sp{\sn lineStartArrowWidth}{\sv 0}}{\sp{\sn lineStartArrowLength}{\sv 0}}{\sp{\sn lineEndArrowWidth}{\sv 0}}
{\sp{\sn lineEndArrowLength}{\sv 0}}{\sp{\sn fShadow}{\sv 0}}}}{\shp{\*\shpinst\shplid1034{\sp{\sn relLeft}{\sv 9792}}{\sp{\sn relTop}{\sv 5891}}{\sp{\sn relRight}{\sv 9793}}{\sp{\sn relBottom}{\sv 6612}}{\sp{\sn fRelFlipH}{\sv 0}}
{\sp{\sn fRelFlipV}{\sv 0}}{\sp{\sn shapeType}{\sv 20}}{\sp{\sn lineColor}{\sv 255}}{\sp{\sn lineWidth}{\sv 12700}}{\sp{\sn lineStartArrowWidth}{\sv 0}}{\sp{\sn lineStartArrowLength}{\sv 0}}{\sp{\sn lineEndArrowWidth}{\sv 0}}
{\sp{\sn lineEndArrowLength}{\sv 0}}{\sp{\sn fShadow}{\sv 0}}}}{\shp{\*\shpinst\shplid1035{\sp{\sn relLeft}{\sv 1296}}{\sp{\sn relTop}{\sv 6716}}{\sp{\sn relRight}{\sv 4897}}{\sp{\sn relBottom}{\sv 6717}}{\sp{\sn fRelFlipH}{\sv 0}}
{\sp{\sn fRelFlipV}{\sv 0}}{\sp{\sn shapeType}{\sv 20}}{\sp{\sn lineColor}{\sv 255}}{\sp{\sn lineWidth}{\sv 12700}}{\sp{\sn lineStartArrowWidth}{\sv 0}}{\sp{\sn lineStartArrowLength}{\sv 0}}{\sp{\sn lineEndArrowWidth}{\sv 0}}
{\sp{\sn lineEndArrowLength}{\sv 0}}{\sp{\sn fShadow}{\sv 0}}}}{\shp{\*\shpinst\shplid1036{\sp{\sn relLeft}{\sv 7056}}{\sp{\sn relTop}{\sv 6582}}{\sp{\sn relRight}{\sv 10225}}{\sp{\sn relBottom}{\sv 6583}}{\sp{\sn fRelFlipH}{\sv 0}}
{\sp{\sn fRelFlipV}{\sv 0}}{\sp{\sn shapeType}{\sv 20}}{\sp{\sn lineColor}{\sv 255}}{\sp{\sn lineWidth}{\sv 12700}}{\sp{\sn lineStartArrowWidth}{\sv 0}}{\sp{\sn lineStartArrowLength}{\sv 0}}{\sp{\sn lineEndArrowWidth}{\sv 0}}
{\sp{\sn lineEndArrowLength}{\sv 0}}{\sp{\sn fShadow}{\sv 0}}}}{\shp{\*\shpinst\shplid1037{\sp{\sn relLeft}{\sv 2160}}{\sp{\sn relTop}{\sv 5747}}{\sp{\sn relRight}{\sv 2305}}{\sp{\sn relBottom}{\sv 5892}}{\sp{\sn fRelFlipH}{\sv 0}}
{\sp{\sn fRelFlipV}{\sv 0}}{\sp{\sn shapeType}{\sv 3}}{\sp{\sn fillBackColor}{\sv 0}}{\sp{\sn fFilled}{\sv 1}}{\sp{\sn lineColor}{\sv 255}}{\sp{\sn lineWidth}{\sv 12700}}{\sp{\sn fShadow}{\sv 0}}}}
{\shp{\*\shpinst\shplid1038{\sp{\sn relLeft}{\sv 2304}}{\sp{\sn relTop}{\sv 5747}}{\sp{\sn relRight}{\sv 2449}}{\sp{\sn relBottom}{\sv 5892}}{\sp{\sn fRelFlipH}{\sv 0}}{\sp{\sn fRelFlipV}{\sv 0}}{\sp{\sn shapeType}{\sv 3}}{\sp{\sn fillBackColor}{\sv 0}}
{\sp{\sn fFilled}{\sv 1}}{\sp{\sn lineColor}{\sv 255}}{\sp{\sn lineWidth}{\sv 12700}}{\sp{\sn fShadow}{\sv 0}}}}{\shp{\*\shpinst\shplid1039{\sp{\sn relLeft}{\sv 2160}}{\sp{\sn relTop}{\sv 5612}}
{\sp{\sn relRight}{\sv 2305}}{\sp{\sn relBottom}{\sv 5757}}{\sp{\sn fRelFlipH}{\sv 0}}{\sp{\sn fRelFlipV}{\sv 0}}{\sp{\sn shapeType}{\sv 3}}{\sp{\sn fillBackColor}{\sv 0}}
{\sp{\sn fFilled}{\sv 1}}{\sp{\sn lineColor}{\sv 255}}{\sp{\sn lineWidth}{\sv 12700}}{\sp{\sn fShadow}{\sv 0}}}}{\shp{\*\shpinst\shplid1040{\sp{\sn relLeft}{\sv 1584}}{\sp{\sn relTop}{\sv 5747}}
{\sp{\sn relRight}{\sv 1729}}{\sp{\sn relBottom}{\sv 5892}}{\sp{\sn fRelFlipH}{\sv 0}}{\sp{\sn fRelFlipV}{\sv 0}}{\sp{\sn shapeType}{\sv 3}}{\sp{\sn fillColor}{\sv 2500134}}
{\sp{\sn fillBackColor}{\sv 0}}{\sp{\sn fFilled}{\sv 1}}{\sp{\sn lineColor}{\sv 255}}{\sp{\sn lineWidth}{\sv 12700}}{\sp{\sn fShadow}{\sv 0}}}}{\shp{\*\shpinst\shplid1041{\sp{\sn relLeft}{\sv 1584}}{\sp{\sn relTop}{\sv 5612}}
{\sp{\sn relRight}{\sv 1729}}{\sp{\sn relBottom}{\sv 5757}}{\sp{\sn fRelFlipH}{\sv 0}}{\sp{\sn fRelFlipV}{\sv 0}}{\sp{\sn shapeType}{\sv 3}}{\sp{\sn fillColor}{\sv 2500134}}
{\sp{\sn fillBackColor}{\sv 0}}{\sp{\sn fFilled}{\sv 1}}{\sp{\sn lineColor}{\sv 255}}{\sp{\sn lineWidth}{\sv 12700}}{\sp{\sn fShadow}{\sv 0}}}}{\shp{\*\shpinst\shplid1042{\sp{\sn relLeft}{\sv 9792}}{\sp{\sn relTop}{\sv 5747}}
{\sp{\sn relRight}{\sv 9937}}{\sp{\sn relBottom}{\sv 5892}}{\sp{\sn fRelFlipH}{\sv 0}}{\sp{\sn fRelFlipV}{\sv 0}}{\sp{\sn shapeType}{\sv 3}}{\sp{\sn fillBackColor}{\sv 0}}
{\sp{\sn fFilled}{\sv 1}}{\sp{\sn lineColor}{\sv 255}}{\sp{\sn lineWidth}{\sv 12700}}{\sp{\sn fShadow}{\sv 0}}}}{\shp{\*\shpinst\shplid1043{\sp{\sn relLeft}{\sv 6912}}{\sp{\sn relTop}{\sv 5747}}
{\sp{\sn relRight}{\sv 7057}}{\sp{\sn relBottom}{\sv 5892}}{\sp{\sn fRelFlipH}{\sv 0}}{\sp{\sn fRelFlipV}{\sv 0}}{\sp{\sn shapeType}{\sv 3}}{\sp{\sn fillColor}{\sv 2105376}}
{\sp{\sn fillBackColor}{\sv 0}}{\sp{\sn fFilled}{\sv 1}}{\sp{\sn lineColor}{\sv 255}}{\sp{\sn lineWidth}{\sv 12700}}{\sp{\sn fShadow}{\sv 0}}}}{\shp{\*\shpinst\shplid1044{\sp{\sn relLeft}{\sv 4032}}{\sp{\sn relTop}{\sv 5612}}
{\sp{\sn relRight}{\sv 4465}}{\sp{\sn relBottom}{\sv 5901}}{\sp{\sn fRelFlipH}{\sv 0}}{\sp{\sn fRelFlipV}{\sv 0}}{\sp{\sn shapeType}{\sv 1}}{\sp{\sn fillBackColor}{\sv 0}}
{\sp{\sn fFilled}{\sv 1}}{\sp{\sn lineColor}{\sv 255}}{\sp{\sn lineWidth}{\sv 12700}}{\sp{\sn fShadow}{\sv 0}}}}{\shp{\*\shpinst\shplid1045{\sp{\sn relLeft}{\sv 4032}}{\sp{\sn relTop}{\sv 5478}}
{\sp{\sn relRight}{\sv 4321}}{\sp{\sn relBottom}{\sv 5623}}{\sp{\sn fRelFlipH}{\sv 0}}{\sp{\sn fRelFlipV}{\sv 0}}{\sp{\sn shapeType}{\sv 1}}{\sp{\sn fillBackColor}{\sv 0}}
{\sp{\sn fFilled}{\sv 1}}{\sp{\sn lineColor}{\sv 255}}{\sp{\sn lineWidth}{\sv 12700}}{\sp{\sn fShadow}{\sv 0}}}}{\shp{\*\shpinst\shplid1046{\sp{\sn relLeft}{\sv 4032}}{\sp{\sn relTop}{\sv 5334}}
{\sp{\sn relRight}{\sv 4177}}{\sp{\sn relBottom}{\sv 5479}}{\sp{\sn fRelFlipH}{\sv 0}}{\sp{\sn fRelFlipV}{\sv 0}}{\sp{\sn shapeType}{\sv 1}}{\sp{\sn fillBackColor}{\sv 0}}
{\sp{\sn fFilled}{\sv 1}}{\sp{\sn lineColor}{\sv 255}}{\sp{\sn lineWidth}{\sv 12700}}{\sp{\sn fShadow}{\sv 0}}}}{\shp{\*\shpinst\shplid1047{\sp{\sn relLeft}{\sv 4608}}{\sp{\sn relTop}{\sv 5747}}
{\sp{\sn relRight}{\sv 5041}}{\sp{\sn relBottom}{\sv 5748}}{\sp{\sn fRelFlipH}{\sv 0}}{\sp{\sn fRelFlipV}{\sv 0}}{\sp{\sn shapeType}{\sv 20}}{\sp{\sn lineColor}{\sv 255}}{\sp{\sn lineWidth}{\sv 12700}}{\sp{\sn lineStartArrowWidth}{\sv 0}}
{\sp{\sn lineStartArrowLength}{\sv 0}}{\sp{\sn lineEndArrowWidth}{\sv 0}}{\sp{\sn lineEndArrowLength}{\sv 0}}{\sp{\sn fShadow}{\sv 0}}}}{\shp{\*\shpinst\shplid1048{\sp{\sn relLeft}{\sv 4608}}{\sp{\sn relTop}{\sv 5478}}
{\sp{\sn relRight}{\sv 5185}}{\sp{\sn relBottom}{\sv 5479}}{\sp{\sn fRelFlipH}{\sv 0}}{\sp{\sn fRelFlipV}{\sv 0}}{\sp{\sn shapeType}{\sv 20}}{\sp{\sn lineColor}{\sv 255}}{\sp{\sn lineWidth}{\sv 12700}}{\sp{\sn lineStartArrowWidth}{\sv 0}}
{\sp{\sn lineStartArrowLength}{\sv 0}}{\sp{\sn lineEndArrowWidth}{\sv 0}}{\sp{\sn lineEndArrowLength}{\sv 0}}{\sp{\sn fShadow}{\sv 0}}}}{\shp{\*\shpinst\shplid1049{\sp{\sn relLeft}{\sv 4464}}{\sp{\sn relTop}{\sv 5334}}
{\sp{\sn relRight}{\sv 5185}}{\sp{\sn relBottom}{\sv 5335}}{\sp{\sn fRelFlipH}{\sv 0}}{\sp{\sn fRelFlipV}{\sv 0}}{\sp{\sn shapeType}{\sv 20}}{\sp{\sn lineColor}{\sv 255}}{\sp{\sn lineWidth}{\sv 12700}}{\sp{\sn lineStartArrowWidth}{\sv 0}}
{\sp{\sn lineStartArrowLength}{\sv 0}}{\sp{\sn lineEndArrowWidth}{\sv 0}}{\sp{\sn lineEndArrowLength}{\sv 0}}{\sp{\sn fShadow}{\sv 0}}}}{\shp{\*\shpinst\shplid1050{\sp{\sn relLeft}{\sv 7488}}{\sp{\sn relTop}{\sv 5747}}
{\sp{\sn relRight}{\sv 7633}}{\sp{\sn relBottom}{\sv 5892}}{\sp{\sn fRelFlipH}{\sv 0}}{\sp{\sn fRelFlipV}{\sv 0}}{\sp{\sn shapeType}{\sv 1}}{\sp{\sn fillBackColor}{\sv 0}}
{\sp{\sn fFilled}{\sv 1}}{\sp{\sn lineColor}{\sv 255}}{\sp{\sn lineWidth}{\sv 12700}}{\sp{\sn fShadow}{\sv 0}}}}{\shp{\*\shpinst\shplid1051{\sp{\sn relLeft}{\sv 7632}}{\sp{\sn relTop}{\sv 5478}}
{\sp{\sn relRight}{\sv 8065}}{\sp{\sn relBottom}{\sv 5767}}{\sp{\sn fRelFlipH}{\sv 0}}{\sp{\sn fRelFlipV}{\sv 1}}{\sp{\sn shapeType}{\sv 20}}{\sp{\sn lineColor}{\sv 255}}{\sp{\sn lineWidth}{\sv 12700}}{\sp{\sn lineStartArrowWidth}{\sv 0}}
{\sp{\sn lineStartArrowLength}{\sv 0}}{\sp{\sn lineEndArrowWidth}{\sv 0}}{\sp{\sn lineEndArrowLength}{\sv 0}}{\sp{\sn fShadow}{\sv 0}}}}{\shp{\*\shpinst\shplid1052{\sp{\sn relLeft}{\sv 3168}}{\sp{\sn relTop}{\sv 6025}}
{\sp{\sn relRight}{\sv 3169}}{\sp{\sn relBottom}{\sv 6746}}{\sp{\sn fRelFlipH}{\sv 0}}{\sp{\sn fRelFlipV}{\sv 0}}{\sp{\sn shapeType}{\sv 20}}{\sp{\sn lineColor}{\sv 255}}{\sp{\sn lineWidth}{\sv 12700}}{\sp{\sn lineStartArrowWidth}{\sv 0}}
{\sp{\sn lineStartArrowLength}{\sv 0}}{\sp{\sn lineEndArrowWidth}{\sv 0}}{\sp{\sn lineEndArrowLength}{\sv 0}}{\sp{\sn fShadow}{\sv 0}}}}{\shp{\*\shpinst\shplid1053{\sp{\sn relLeft}{\sv 8640}}{\sp{\sn relTop}{\sv 6025}}
{\sp{\sn relRight}{\sv 8641}}{\sp{\sn relBottom}{\sv 6602}}{\sp{\sn fRelFlipH}{\sv 0}}{\sp{\sn fRelFlipV}{\sv 0}}{\sp{\sn shapeType}{\sv 20}}{\sp{\sn lineColor}{\sv 255}}{\sp{\sn lineWidth}{\sv 12700}}{\sp{\sn lineStartArrowWidth}{\sv 0}}
{\sp{\sn lineStartArrowLength}{\sv 0}}{\sp{\sn lineEndArrowWidth}{\sv 0}}{\sp{\sn lineEndArrowLength}{\sv 0}}{\sp{\sn fShadow}{\sv 0}}}}{\shp{\*\shpinst\shplid1054{\sp{\sn relLeft}{\sv 1728}}{\sp{\sn relTop}{\sv 7387}}
{\sp{\sn relRight}{\sv 1873}}{\sp{\sn relBottom}{\sv 7532}}{\sp{\sn fRelFlipH}{\sv 0}}{\sp{\sn fRelFlipV}{\sv 0}}{\sp{\sn shapeType}{\sv 3}}{\sp{\sn fillColor}{\sv 2500134}}
{\sp{\sn fillBackColor}{\sv 0}}{\sp{\sn fFilled}{\sv 1}}{\sp{\sn lineColor}{\sv 255}}{\sp{\sn lineWidth}{\sv 12700}}{\sp{\sn fShadow}{\sv 0}}}}{\shp{\*\shpinst\shplid1055{\sp{\sn relLeft}{\sv 1728}}{\sp{\sn relTop}{\sv 7604}}
{\sp{\sn relRight}{\sv 1873}}{\sp{\sn relBottom}{\sv 7749}}{\sp{\sn fRelFlipH}{\sv 0}}{\sp{\sn fRelFlipV}{\sv 0}}{\sp{\sn shapeType}{\sv 3}}{\sp{\sn fillBackColor}{\sv 0}}
{\sp{\sn fFilled}{\sv 1}}{\sp{\sn lineColor}{\sv 255}}{\sp{\sn lineWidth}{\sv 12700}}{\sp{\sn fShadow}{\sv 0}}}}}{\shprslt{\*\do\dobxcolumn\dobypara\dodhgt8192\dppolygon\dppolycount4\dpptx0\dppty0\dpptx9361\dppty0\dpptx9361\dppty2415\dpptx0\dppty2415
\dpx610\dpy123\dpxsize9361\dpysize2415\dpfillfgcr255\dpfillfgcg255\dpfillfgcb255\dpfillbgcr255\dpfillbgcg255\dpfillbgcb255\dpfillpat1\dplinew15\dplinecor0\dplinecog0\dplinecob0}}}}{\f1
\par
\par
\par
\par
\par
\par
\par \tab \tab \tab \tab \tab \tab \tab \tab \tab \tab \tab \tab \tab \tab \tab \tab \tab \tab \tab \tab \tab \tab \tab \tab \tab \tab \tab \tab \tab \tab \tab \tab }{\f1\fs24 orange
\par }{\f1 \tab }{\f1\fs24 pamplemousse
\par }{\f1
\par
\par }{\f1\fs24 Trouver la masse d'une orange et celle d'un pamplemousse.
\par (Les oranges ont toutes la m\'eame masse , les pamplemousses aussi)
\par }{\f1
\par }{\b\f1\fs32 EXERCICE III:
\par }{\f1
\par }{\f1\fs24 Pour trois croissants et cinq chocolatines j'ai donn\'e9 23F au boulanger mais par l'odeur all\'e9ch\'e9e , je commande quatre autres crossants et deux autres chocolatines que je paie 19F.
\par
\par Quel est le prix d'un croissant? d'une chocolatine?
\par
\par }{\b\f1\fs32 EXERCICE IV:
\par }{\f1\fs24
\par
\par Un rectangle a pour p\'e9rim\'e8tre 392m. Trouver ses dimensions sachant que la longueur a 52 m de plus que la largeur.
\par
\par }{\b\f1\fs24\ul Exercice:
\par }{\f1\fs24 \tab r\'e9soudre par substitution le syst\'e8me suivant:
\par \tab \tab x + y = 3
\par \tab \tab 2x - y = 0}{\lang1024 {\shp{\*\shpinst\shpleft1440\shptop1898\shpright11089\shpbottom2186\shpfhdr0\shpbxpage\shpbypara\shpwr3\shpwrk0\shpfblwtxt0\shpz12\shplid1067{\sp{\sn shapeType}{\sv 1}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}
{\sp{\sn fillBackColor}{\sv 0}}{\sp{\sn fFilled}{\sv 1}}{\sp{\sn lineColor}{\sv 255}}{\sp{\sn lineWidth}{\sv 12700}}{\sp{\sn fShadow}{\sv 0}}}{\shprslt{\*\do\dobxpage\dobypara\dodhgt8204\dprect\dpx1440\dpy1898\dpxsize9649\dpysize288
\dpfillfgcr0\dpfillfgcg0\dpfillfgcb0\dpfillbgcr255\dpfillbgcg255\dpfillbgcb255\dpfillpat1\dplinew20\dplinecor255\dplinecog0\dplinecob0}}}}{\f1
\par
\par }}
 :