{"id":3264,"date":"2016-06-13T11:46:09","date_gmt":"2016-06-13T11:46:09","guid":{"rendered":"http:\/\/acoeurparcoeur.com\/?p=3264"},"modified":"2016-06-13T11:46:09","modified_gmt":"2016-06-13T11:46:09","slug":"resoudre-un-systeme-de-2-equations-a-2-inconnues-du-premier-degre-par-substitution","status":"publish","type":"post","link":"https:\/\/acoeurparcoeur.com\/?p=3264","title":{"rendered":"R\u00e9soudre un syst\u00e8me de 2 \u00e9quations \u00e0 2 inconnues du premier degr\u00e9 par substitution ?"},"content":{"rendered":"\n<p>1 &#8211; on <strong>choisit l&rsquo;\u00e9quation la plus simple<\/strong> E1 pour exprimer l&rsquo;une des inconnues (y) en fonction de l&rsquo;autre (x), on obtient une nouvelle \u00e9quation E1&prime; \u00e9quivalente de E1<br>2 &#8211; on <strong>remplace dans l&rsquo;autre \u00e9quation<\/strong> E2 l&rsquo;inconnue (y) par l&rsquo;expression E1&prime;: il reste une seule \u00e9quation du premier degr\u00e9 \u00e0 une inconnue (x) qu&rsquo;il suffit de r\u00e9soudre pour trouver la valeur num\u00e9rique de x (a)<br>3 &#8211; on <strong>remplace x par la valeur trouv\u00e9e<\/strong> (a) dans l&rsquo;\u00e9quation E1&prime; pour trouver la valeur num\u00e9rique de y (b)<br>4 &#8211; on <strong>v\u00e9rifie<\/strong> que le couple (a;b) est solution des 2 \u00e9quations initiales en rempla\u00e7ant x et y par les valeurs a et b<br>5 &#8211; on <strong>conclue<\/strong> que le syst\u00e8me d&rsquo;\u00e9quations propos\u00e9 admet pour unique solution le couple (a;b)<\/p>\n","protected":false},"excerpt":{"rendered":"<p>1 &#8211; on choisit l&rsquo;\u00e9quation la plus simple E1 pour exprimer l&rsquo;une des inconnues (y) en fonction de l&rsquo;autre (x), on obtient une nouvelle \u00e9quation E1&prime; \u00e9quivalente de E12 &#8211; on remplace dans l&rsquo;autre \u00e9quation E2 l&rsquo;inconnue (y) par l&rsquo;expression E1&prime;: il reste une seule \u00e9quation du premier degr\u00e9 \u00e0 une inconnue (x) qu&rsquo;il suffit [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":3266,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[347,135],"tags":[1831,1832],"class_list":["post-3264","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-brevet","category-mathematiques","tag-equation","tag-equations-a-2-inconnues","has-thumbnail"],"_links":{"self":[{"href":"https:\/\/acoeurparcoeur.com\/index.php?rest_route=\/wp\/v2\/posts\/3264","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/acoeurparcoeur.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/acoeurparcoeur.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/acoeurparcoeur.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/acoeurparcoeur.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=3264"}],"version-history":[{"count":0,"href":"https:\/\/acoeurparcoeur.com\/index.php?rest_route=\/wp\/v2\/posts\/3264\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/acoeurparcoeur.com\/index.php?rest_route=\/wp\/v2\/media\/3266"}],"wp:attachment":[{"href":"https:\/\/acoeurparcoeur.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=3264"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/acoeurparcoeur.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=3264"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/acoeurparcoeur.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=3264"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}