{"id":26062,"date":"2023-05-25T15:17:41","date_gmt":"2023-05-25T14:17:41","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=26062"},"modified":"2023-05-25T15:42:39","modified_gmt":"2023-05-25T14:42:39","slug":"escreve-o-enunciado-de-um-problema","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=26062","title":{"rendered":"Escreve o enunciado de um problema&#8230;"},"content":{"rendered":"\n<p><ul id='GTTabs_ul_26062' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_26062' class='GTTabs_curr'><a  id=\"26062_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_26062' ><a  id=\"26062_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_26062'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Considera o seguinte sistema de equa\u00e7\u00f5es: \\[\\left\\{ {\\begin{array}{*{20}{l}}{x + 3 = y &#8211; 3}\\\\{x = \\frac{y}{4}}\\end{array}} \\right.\\]<\/p>\n<ol>\n<li>Escreve o enunciado de um problema que se possa traduzir pelo sistema dado.<\/li>\n<li>Resolve o sistema de equa\u00e7\u00f5es.<\/li>\n<li>Classifica-o.<\/li>\n<\/ol>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_26062' onClick='GTTabs_show(1,26062)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_26062'>\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: \\[\\left\\{ {\\begin{array}{*{20}{l}}{x + 3 = y &#8211; 3}\\\\{x = \\frac{y}{4}}\\end{array}} \\right.\\]<\/p>\n<\/blockquote>\n<ol>\n<li>\n<blockquote>Escreve o enunciado de um problema que se possa traduzir pelo sistema dado.<\/blockquote>\n<\/li>\n<li>\n<blockquote>Resolve o sistema de equa\u00e7\u00f5es.<\/blockquote>\n<\/li>\n<li>\n<blockquote>Classifica-o.<\/blockquote>\n<\/li>\n<\/ol>\n<p>\u00a0<\/p>\n<ol>\n<li>&#8220;Se o Jo\u00e3o der tr\u00eas dos seus berlindes ao Pedro, ambos ficam com igual n\u00famero de berlindes.<br \/>Sabe-se que o Pedro possui a quarta parte dos berlindes que o Jo\u00e3o tem.<br \/>Quantos berlindes tem cada um dos jovens?&#8221;<br \/><br \/><\/li>\n<li><br \/>\\[\\begin{array}{*{20}{l}}{\\left\\{ {\\begin{array}{*{20}{l}}{x + 3 = y &#8211; 3}\\\\{x = \\frac{y}{4}}\\end{array}} \\right.}&amp; \\Leftrightarrow &amp;{\\left\\{ {\\begin{array}{*{20}{l}}{\\frac{y}{4} + 3 = y &#8211; 3}\\\\{x = \\frac{y}{4}}\\end{array}} \\right.}&amp; \\Leftrightarrow &amp;{\\left\\{ {\\begin{array}{*{20}{l}}{y + 12 = 4y &#8211; 12}\\\\{x = \\frac{y}{4}}\\end{array}} \\right.}&amp; \\Leftrightarrow \\\\{}&amp; \\Leftrightarrow &amp;{\\left\\{ {\\begin{array}{*{20}{l}}{3y = 24}\\\\{x = \\frac{y}{4}}\\end{array}} \\right.}&amp; \\Leftrightarrow &amp;{\\left\\{ {\\begin{array}{*{20}{l}}{x = 2}\\\\{y = 8}\\end{array}} \\right.}&amp;{S = \\left\\{ {\\left( {2,8} \\right)} \\right\\}}\\end{array}\\]<\/li>\n<li>O sistema \u00e9 poss\u00edvel e determinado.<\/li>\n<\/ol>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_26062' onClick='GTTabs_show(0,26062)'>&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}}{x + 3 = y &#8211; 3}\\\\{x = \\frac{y}{4}}\\end{array}} \\right.\\] Escreve o enunciado de um problema que se possa traduzir pelo sistema dado. Resolve&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":20338,"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-26062","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":108,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/09\/9V1Pag022-13_520x245.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/26062","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=26062"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/26062\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/20338"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=26062"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=26062"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=26062"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=26062"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}