{"id":26230,"date":"2023-06-05T18:29:36","date_gmt":"2023-06-05T17:29:36","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=26230"},"modified":"2023-06-05T18:40:46","modified_gmt":"2023-06-05T17:40:46","slug":"a-solucao-de-um-sistema-de-equacoes-2","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=26230","title":{"rendered":"A solu\u00e7\u00e3o de um sistema de equa\u00e7\u00f5es"},"content":{"rendered":"\n<p><ul id='GTTabs_ul_26230' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_26230' class='GTTabs_curr'><a  id=\"26230_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_26230' ><a  id=\"26230_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_26230'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Considera o seguinte sistema de equa\u00e7\u00f5es.<\/p>\n<p>\\[\\left\\{ {\\begin{array}{*{20}{l}}{\\frac{x}{2} + y = 2}\\\\{x + 3y = 5}\\end{array}} \\right.\\]<\/p>\n<p>Qual dos quatro pares ordenados (<em>x<\/em>, <em>y<\/em>) seguintes \u00e9 a solu\u00e7\u00e3o do sistema?<\/p>\n<p><strong>[A]<\/strong> \\(\\left( { &#8211; 1,2} \\right)\\)\u00a0 \u00a0 \u00a0 \u00a0 <strong>[B]<\/strong> \\(\\left( {1,2} \\right)\\)\u00a0 \u00a0 \u00a0 \u00a0 <strong>[C]<\/strong> \\(\\left( { &#8211; 2,1} \\right)\\)\u00a0 \u00a0 \u00a0 \u00a0 <strong>[D]<\/strong> \\(\\left( {2,1} \\right)\\)<\/p>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_26230' onClick='GTTabs_show(1,26230)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_26230'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<blockquote>\n<p>Considera o seguinte sistema de equa\u00e7\u00f5es.<\/p>\n<p>\\[\\left\\{ {\\begin{array}{*{20}{l}}{\\frac{x}{2} + y = 2}\\\\{x + 3y = 5}\\end{array}} \\right.\\]<\/p>\n<p>Qual dos quatro pares ordenados (<em>x<\/em>, <em>y<\/em>) seguintes \u00e9 a solu\u00e7\u00e3o do sistema?<\/p>\n<p><strong>[A]<\/strong> \\(\\left( { &#8211; 1,2} \\right)\\)\u00a0 \u00a0 \u00a0 \u00a0 <strong>[B]<\/strong> \\(\\left( {1,2} \\right)\\)\u00a0 \u00a0 \u00a0 \u00a0 <strong>[C]<\/strong> \\(\\left( { &#8211; 2,1} \\right)\\)\u00a0 \u00a0 \u00a0 \u00a0 <strong>[D]<\/strong> \\(\\left( {2,1} \\right)\\)<\/p>\n<\/blockquote>\n<p><br \/>A op\u00e7\u00e3o correta \u00e9 <strong>[D]<\/strong> \\(\\left( {2,1} \\right)\\), pois \u00e9 o \u00fanico par ordenado cujas coordenadas verificam simultaneamente ambas as equa\u00e7\u00f5es do sistema: \\[\\begin{array}{*{20}{c}}{\\left\\{ {\\begin{array}{*{20}{l}}{\\frac{2}{2} + 1 = 2}\\\\{2 + 3 \\times 1 = 5}\\end{array}} \\right.}&amp; \\Leftrightarrow &amp;{\\underbrace {\\left\\{ {\\begin{array}{*{20}{l}}{2 = 2}\\\\{5 = 5}\\end{array}} \\right.}_{{\\rm{P}}{\\rm{.}}\\,{\\rm{V}}{\\rm{.}}}}\\end{array}\\]<\/p>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_26230' onClick='GTTabs_show(0,26230)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Considera o seguinte sistema de equa\u00e7\u00f5es. \\[\\left\\{ {\\begin{array}{*{20}{l}}{\\frac{x}{2} + y = 2}\\\\{x + 3y = 5}\\end{array}} \\right.\\] Qual dos quatro pares ordenados (x, y) seguintes \u00e9 a solu\u00e7\u00e3o do sistema? [A]&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":19174,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[100,97,714],"tags":[424,345,239],"series":[],"class_list":["post-26230","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-8--ano","category-aplicando","category-equacoes-literais-e-sistemas","tag-8-o-ano","tag-funcao-afim","tag-sistema-de-equacoes"],"views":66,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2021\/12\/Mat65.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/26230","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=26230"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/26230\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/19174"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=26230"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=26230"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=26230"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=26230"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}