{"id":25727,"date":"2023-05-17T08:28:46","date_gmt":"2023-05-17T07:28:46","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=25727"},"modified":"2023-05-17T10:47:20","modified_gmt":"2023-05-17T09:47:20","slug":"escreve-um-sistema-de-equacoes","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=25727","title":{"rendered":"Escreve um sistema de equa\u00e7\u00f5es"},"content":{"rendered":"\n<p><ul id='GTTabs_ul_25727' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_25727' class='GTTabs_curr'><a  id=\"25727_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_25727' ><a  id=\"25727_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_25727'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Escreve um sistema de equa\u00e7\u00f5es para cada uma das situa\u00e7\u00f5es.<\/p>\n<table style=\"border-collapse: collapse;\">\n<tbody>\n<tr>\n<td style=\"vertical-align: top;\">a)<\/td>\n<td style=\"vertical-align: top; text-align: left;\"><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/05\/8_Pag197-2a2.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"25741\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=25741\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/05\/8_Pag197-2a2.png\" data-orig-size=\"460,560\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"8_Pag197-2a2\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/05\/8_Pag197-2a2.png\" class=\"alignnone wp-image-25741\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/05\/8_Pag197-2a2-246x300.png\" alt=\"\" width=\"340\" height=\"414\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/05\/8_Pag197-2a2-246x300.png 246w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/05\/8_Pag197-2a2.png 460w\" sizes=\"auto, (max-width: 340px) 100vw, 340px\" \/><\/a><\/td>\n<\/tr>\n<tr>\n<td style=\"vertical-align: top;\">b)<\/td>\n<td style=\"vertical-align: top; text-align: left;\"><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/05\/8_Pag197-2b.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"25731\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=25731\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/05\/8_Pag197-2b.png\" data-orig-size=\"460,180\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"8_Pag197-2b\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/05\/8_Pag197-2b.png\" class=\"wp-image-25731 alignnone\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/05\/8_Pag197-2b-300x117.png\" alt=\"\" width=\"340\" height=\"133\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/05\/8_Pag197-2b-300x117.png 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/05\/8_Pag197-2b.png 460w\" sizes=\"auto, (max-width: 340px) 100vw, 340px\" \/><\/a><\/td>\n<\/tr>\n<tr>\n<td style=\"vertical-align: top;\">c)<\/td>\n<td style=\"vertical-align: top; text-align: left;\">Um pai tem o qu\u00e1druplo da idade do filho.<br \/>Daqui a 18 anos, a idade do pai ser\u00e1 o dobro da idade do filho.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_25727' onClick='GTTabs_show(1,25727)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_25727'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<blockquote>\n<p>Escreve um sistema de equa\u00e7\u00f5es para cada uma das situa\u00e7\u00f5es.<\/p>\n<\/blockquote>\n<table style=\"border-collapse: collapse; width: 100%;\">\n<tbody>\n<tr>\n<td style=\"vertical-align: top; width: 2.08333%;\">a)<\/td>\n<td style=\"vertical-align: top; text-align: left; width: 41.7969%;\"><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/05\/8_Pag197-2a2.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"25741\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=25741\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/05\/8_Pag197-2a2.png\" data-orig-size=\"460,560\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"8_Pag197-2a2\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/05\/8_Pag197-2a2.png\" class=\"alignnone wp-image-25741\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/05\/8_Pag197-2a2-246x300.png\" alt=\"\" width=\"340\" height=\"414\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/05\/8_Pag197-2a2-246x300.png 246w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/05\/8_Pag197-2a2.png 460w\" sizes=\"auto, (max-width: 340px) 100vw, 340px\" \/><\/a><\/td>\n<td style=\"vertical-align: top; text-align: left; width: 56.1198%;\">\n<p>Designado por:<\/p>\n<ul>\n<li>\\(a\\): massa, em kg, de cada pacote de arroz;<\/li>\n<li>\\(f\\): massa, em kg, de cada pacote de farinha;<\/li>\n<\/ul>\n<p>vem:<\/p>\n<p>\\[\\left\\{ {\\begin{array}{*{20}{l}}{3a = 4f}\\\\{2a = 2f + 0,25}\\end{array}} \\right.\\]<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td style=\"vertical-align: top; width: 2.08333%;\">b)<\/td>\n<td style=\"vertical-align: top; text-align: left; width: 41.7969%;\"><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/05\/8_Pag197-2b.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"25731\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=25731\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/05\/8_Pag197-2b.png\" data-orig-size=\"460,180\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"8_Pag197-2b\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/05\/8_Pag197-2b.png\" class=\"wp-image-25731 alignnone\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/05\/8_Pag197-2b-300x117.png\" alt=\"\" width=\"340\" height=\"133\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/05\/8_Pag197-2b-300x117.png 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/05\/8_Pag197-2b.png 460w\" sizes=\"auto, (max-width: 340px) 100vw, 340px\" \/><\/a><\/td>\n<td style=\"vertical-align: top; text-align: left; width: 56.1198%;\">\u00a0Designado por:\n<ul>\n<li>\\(c\\): volume, na unidade considerada, de cada cubo;<\/li>\n<li>\\(p\\): volume, na unidade considerada, de cada paralelep\u00edpedo;<\/li>\n<\/ul>\n<p>vem:<\/p>\n<p>\\[\\begin{array}{*{20}{c}}{\\left\\{ {\\begin{array}{*{20}{l}}{c + 2p = 22 &#8211; 15}\\\\{2c + p = 24 &#8211; 15}\\end{array}} \\right.}&amp; \\Leftrightarrow &amp;{\\left\\{ {\\begin{array}{*{20}{l}}{c + 2p = 7}\\\\{2c + p = 9}\\end{array}} \\right.}\\end{array}\\]<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td style=\"vertical-align: top; width: 2.08333%;\">c)<\/td>\n<td style=\"vertical-align: top; text-align: left; width: 41.7969%;\">Um pai tem o qu\u00e1druplo da idade do filho.<br \/>Daqui a 18 anos, a idade do pai ser\u00e1 o dobro da idade do filho.<\/td>\n<td style=\"vertical-align: top; text-align: left; width: 56.1198%;\">\u00a0Designado por:\n<ul>\n<li>\\(p\\): idade atual do pai, em anos;<\/li>\n<li>\\(f\\): idade atual do filho, em anos;<\/li>\n<\/ul>\n<p>vem:<\/p>\n<p>\\[\\left\\{ {\\begin{array}{*{20}{l}}{p = 4f}\\\\{p + 18 = 2\\left( {f + 18} \\right)}\\end{array}} \\right.\\]<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>\u00a0<\/p>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_25727' onClick='GTTabs_show(0,25727)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Escreve um sistema de equa\u00e7\u00f5es para cada uma das situa\u00e7\u00f5es. a) b) c) Um pai tem o qu\u00e1druplo da idade do filho.Daqui a 18 anos, a idade do pai ser\u00e1 o&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":25730,"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-25727","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":76,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/05\/8_Pag197-2a_520x245.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/25727","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=25727"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/25727\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/25730"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=25727"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=25727"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=25727"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=25727"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}