{"id":6870,"date":"2011-05-19T01:42:15","date_gmt":"2011-05-19T00:42:15","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=6870"},"modified":"2022-01-05T13:18:37","modified_gmt":"2022-01-05T13:18:37","slug":"resolve-cada-um-das-equacoes","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=6870","title":{"rendered":"Resolve cada um das equa\u00e7\u00f5es"},"content":{"rendered":"<p><ul id='GTTabs_ul_6870' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_6870' class='GTTabs_curr'><a  id=\"6870_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_6870' ><a  id=\"6870_1\" onMouseOver=\"GTTabsShowLinks('Resolu\u00e7\u00e3o'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Resolu\u00e7\u00e3o<\/a><\/li>\n<\/ul>\n\n<div class='GTTabs_divs GTTabs_curr_div' id='GTTabs_0_6870'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Resolve cada um das equa\u00e7\u00f5es em ordem a x e a y:<\/p>\n<ol>\n<li>$x+3y=5$<\/li>\n<li>$\\frac{3x+y}{2}=3$<\/li>\n<\/ol>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_6870' onClick='GTTabs_show(1,6870)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_6870'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<ol>\n<li>Resolvendo a equa\u00e7\u00e3o em ordem a x, vem: \\[\\begin{array}{*{35}{l}}<br \/>\nx+3y=5 &amp; \\Leftrightarrow\u00a0 &amp; x=5-3y\u00a0 \\\\<br \/>\n\\end{array}\\]<\/p>\n<p>Resolvendo a equa\u00e7\u00e3o em ordem a y, vem: \\[\\begin{array}{*{35}{l}}<br \/>\nx+3y=5 &amp; \\Leftrightarrow\u00a0 &amp; 3y=5-x\u00a0 \\\\<br \/>\n{} &amp; \\Leftrightarrow\u00a0 &amp; y=\\frac{5-x}{3}\u00a0 \\\\<br \/>\n\\end{array}\\]<br \/>\n\u00ad<\/p>\n<\/li>\n<li>Resolvendo a equa\u00e7\u00e3o em ordem a x, vem: \\[\\begin{array}{*{35}{l}}<br \/>\n\\frac{3x+y}{\\underset{(1)}{\\mathop{2}}\\,}=\\underset{(2)}{\\mathop{3}}\\, &amp; \\Leftrightarrow\u00a0 &amp; 3x+y=6\u00a0 \\\\<br \/>\n{} &amp; \\Leftrightarrow\u00a0 &amp; 3x=6-y\u00a0 \\\\<br \/>\n{} &amp; \\Leftrightarrow\u00a0 &amp; \\frac{3x}{3}=\\frac{6-y}{3}\u00a0 \\\\<br \/>\n{} &amp; \\Leftrightarrow\u00a0 &amp; x=2-\\frac{y}{3}\u00a0 \\\\<br \/>\n\\end{array}\\]<\/p>\n<p>Resolvendo a equa\u00e7\u00e3o em ordem a y, vem: \\[\\begin{array}{*{35}{l}}<br \/>\n\\frac{3x+y}{\\underset{(1)}{\\mathop{2}}\\,}=\\underset{(2)}{\\mathop{3}}\\, &amp; \\Leftrightarrow\u00a0 &amp; 3x+y=6\u00a0 \\\\<br \/>\n{} &amp; \\Leftrightarrow\u00a0 &amp; y=6-3x\u00a0 \\\\<br \/>\n\\end{array}\\]<\/p>\n<\/li>\n<\/ol>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_6870' onClick='GTTabs_show(0,6870)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Resolve cada um das equa\u00e7\u00f5es em ordem a x e a y: $x+3y=5$ $\\frac{3x+y}{2}=3$ Resolu\u00e7\u00e3o &gt;&gt; Resolu\u00e7\u00e3o &lt;&lt; Enunciado<\/p>\n","protected":false},"author":1,"featured_media":14061,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[100,97,101],"tags":[192],"series":[],"class_list":["post-6870","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-8--ano","category-aplicando","category-equacoes","tag-equacoes-literais"],"views":3135,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/03\/Mat06.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/6870","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=6870"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/6870\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/14061"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=6870"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=6870"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=6870"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=6870"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}