{"id":25881,"date":"2023-05-21T16:22:49","date_gmt":"2023-05-21T15:22:49","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=25881"},"modified":"2023-05-21T18:51:47","modified_gmt":"2023-05-21T17:51:47","slug":"a-solucao-do-sistema","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=25881","title":{"rendered":"A solu\u00e7\u00e3o do sistema"},"content":{"rendered":"\n<p><ul id='GTTabs_ul_25881' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_25881' class='GTTabs_curr'><a  id=\"25881_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_25881' ><a  id=\"25881_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_25881'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Encontra mentalmente a solu\u00e7\u00e3o de cada um dos sistemas de equa\u00e7\u00f5es.<br \/>Explica como fizeste.<\/p>\n<ol>\n<li><br \/>\\(\\left\\{ {\\begin{array}{*{20}{l}}{x = \\frac{1}{2}}\\\\{2x + y = 7}\\end{array}} \\right.\\)<\/li>\n<li><br \/>\\(\\left\\{ {\\begin{array}{*{20}{l}}{x + y = 11}\\\\{\\frac{y}{2} = 5}\\end{array}} \\right.\\)<\/li>\n<li><br \/>\\(\\left\\{ {\\begin{array}{*{20}{l}}{x &#8211; y = 1}\\\\{y &#8211; 2 = 0}\\end{array}} \\right.\\)<\/li>\n<li><br \/>\\(\\left\\{ {\\begin{array}{*{20}{l}}{y = x + 5}\\\\{y = 2x}\\end{array}} \\right.\\)<\/li>\n<\/ol>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_25881' onClick='GTTabs_show(1,25881)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_25881'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<table style=\"border-collapse: collapse;\">\n<tbody>\n<tr>\n<td>1.<\/td>\n<td>\\[\\begin{array}{*{20}{c}}{\\left\\{ {\\begin{array}{*{20}{l}}{x = \\frac{1}{2}}\\\\{2x + y = 7}\\end{array}} \\right.}&amp; \\Leftrightarrow &amp;{\\left\\{ {\\begin{array}{*{20}{l}}{x = \\frac{1}{2}}\\\\{y = 6}\\end{array}} \\right.}\\end{array}\\]<\/td>\n<td><div class=\"w_b_box w_b_w100 w_b_flex w_b_jc_c w_b_mla w_b_mra w_b_div\"><div class=\"w_b_wrap w_b_wrap_upper w_b_R w_b_flex w_b_jc_fe w_b_col w_b_ai_fe w_b_div\" style=\"\"><div class=\"w_b_bal_box w_b_bal_R w_b_relative w_b_direction_O w_b_w100 w_b_div\"><div class=\"w_b_bal_outer w_b_flex w_b_mp0 w_b_relative w_b_div\" style=\"\"><div class=\"w_b_bal_wrap w_b_bal_wrap_R w_b_div\"><div class=\"w_b_bal w_b_relative w_b_upper w_b_upper_R w_b_shadow_R w_b_bal_O w_b_ta_C w_b_div\"><div class=\"w_b_quote w_b_div\">\\(\\begin{array}{*{20}{c}}{2 \\times \\frac{1}{2} + y = 7}&amp; \\Leftrightarrow &amp;{y = 6}\\end{array}\\)<\/div><\/div><\/div><\/div><div class=\"w_b_space w_b_mp0 w_b_div\"><svg version=\"1.1\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" x=\"0px\" y=\"0px\" width=\"1\" height=\"18\" viewBox=\"0 0 1 1\" fill=\"transparent\" stroke=\"transparent\" stroke-miterlimit=\"10\" class=\"w_b_db w_b_mp0\"><polygon fill=\"transparent\" stroke=\"transparent\" points=\"0,1 0,1 0,1 0,1 \"\/><\/svg><\/div><\/div><div class=\"w_b_ava_box w_b_relative w_b_ava_R w_b_f_n w_b_div\"><div class=\"w_b_icon_wrap w_b_relative w_b_div\"><div class=\"w_b_ava_wrap w_b_direction_O w_b_mp0 w_b_div\"><div class=\"w_b_ava_effect w_b_relative w_b_oh w_b_size_S w_b_div\" style=\"\">\n<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/plugins\/word-balloon\/img\/mystery_men.svg\" width=\"64\" height=\"64\" alt=\"\" class=\"w_b_ava_img w_b_w100 w_b_h100  w_b_mp0 w_b_img\" style=\"\" \/>\n<\/div><\/div><\/div><\/div><\/div><\/div><\/td>\n<\/tr>\n<tr>\n<td>2.<\/td>\n<td>\\(\\begin{array}{*{20}{c}}{\\left\\{ {\\begin{array}{*{20}{l}}{x + y = 11}\\\\{\\frac{y}{2} = 5}\\end{array}} \\right.}&amp; \\Leftrightarrow &amp;{\\left\\{ {\\begin{array}{*{20}{l}}{y = 10}\\\\{x = 1}\\end{array}} \\right.}\\end{array}\\)<\/td>\n<td><div class=\"w_b_box w_b_w100 w_b_flex w_b_jc_c w_b_mla w_b_mra w_b_div\"><div class=\"w_b_wrap w_b_wrap_upper w_b_R w_b_flex w_b_jc_fe w_b_col w_b_ai_fe w_b_div\" style=\"\"><div class=\"w_b_bal_box w_b_bal_R w_b_relative w_b_direction_O w_b_w100 w_b_div\"><div class=\"w_b_bal_outer w_b_flex w_b_mp0 w_b_relative w_b_div\" style=\"\"><div class=\"w_b_bal_wrap w_b_bal_wrap_R w_b_div\"><div class=\"w_b_bal w_b_relative w_b_upper w_b_upper_R w_b_shadow_R w_b_bal_O w_b_ta_C w_b_div\"><div class=\"w_b_quote w_b_div\">\\(\\begin{array}{*{20}{c}}{\\frac{y}{2} = 5}&amp; \\Leftrightarrow &amp;{y = 10}\\\\{x + 10 = 11}&amp; \\Leftrightarrow &amp;{x = 1}\\end{array}\\)<\/div><\/div><\/div><\/div><div class=\"w_b_space w_b_mp0 w_b_div\"><svg version=\"1.1\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" x=\"0px\" y=\"0px\" width=\"1\" height=\"18\" viewBox=\"0 0 1 1\" fill=\"transparent\" stroke=\"transparent\" stroke-miterlimit=\"10\" class=\"w_b_db w_b_mp0\"><polygon fill=\"transparent\" stroke=\"transparent\" points=\"0,1 0,1 0,1 0,1 \"\/><\/svg><\/div><\/div><div class=\"w_b_ava_box w_b_relative w_b_ava_R w_b_f_n w_b_div\"><div class=\"w_b_icon_wrap w_b_relative w_b_div\"><div class=\"w_b_ava_wrap w_b_direction_O w_b_mp0 w_b_div\"><div class=\"w_b_ava_effect w_b_relative w_b_oh w_b_size_S w_b_div\" style=\"\">\n<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/plugins\/word-balloon\/img\/mystery_men.svg\" width=\"64\" height=\"64\" alt=\"\" class=\"w_b_ava_img w_b_w100 w_b_h100  w_b_mp0 w_b_img\" style=\"\" \/>\n<\/div><\/div><\/div><\/div><\/div><\/div><\/td>\n<\/tr>\n<tr>\n<td>3.<\/td>\n<td>\\(\\begin{array}{*{20}{c}}{\\left\\{ {\\begin{array}{*{20}{l}}{x &#8211; y = 1}\\\\{y &#8211; 2 = 0}\\end{array}} \\right.}&amp; \\Leftrightarrow &amp;{\\left\\{ {\\begin{array}{*{20}{l}}{y = 2}\\\\{x = 3}\\end{array}} \\right.}\\end{array}\\)<\/td>\n<td><div class=\"w_b_box w_b_w100 w_b_flex w_b_jc_c w_b_mla w_b_mra w_b_div\"><div class=\"w_b_wrap w_b_wrap_upper w_b_R w_b_flex w_b_jc_fe w_b_col w_b_ai_fe w_b_div\" style=\"\"><div class=\"w_b_bal_box w_b_bal_R w_b_relative w_b_direction_O w_b_w100 w_b_div\"><div class=\"w_b_bal_outer w_b_flex w_b_mp0 w_b_relative w_b_div\" style=\"\"><div class=\"w_b_bal_wrap w_b_bal_wrap_R w_b_div\"><div class=\"w_b_bal w_b_relative w_b_upper w_b_upper_R w_b_shadow_R w_b_bal_O w_b_ta_C w_b_div\"><div class=\"w_b_quote w_b_div\">\\(\\begin{array}{*{20}{c}}{y &#8211; 2 = 0}&amp; \\Leftrightarrow &amp;{y = 2}\\\\{x &#8211; 2 = 1}&amp; \\Leftrightarrow &amp;{x = 3}\\end{array}\\)<\/div><\/div><\/div><\/div><div class=\"w_b_space w_b_mp0 w_b_div\"><svg version=\"1.1\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" x=\"0px\" y=\"0px\" width=\"1\" height=\"18\" viewBox=\"0 0 1 1\" fill=\"transparent\" stroke=\"transparent\" stroke-miterlimit=\"10\" class=\"w_b_db w_b_mp0\"><polygon fill=\"transparent\" stroke=\"transparent\" points=\"0,1 0,1 0,1 0,1 \"\/><\/svg><\/div><\/div><div class=\"w_b_ava_box w_b_relative w_b_ava_R w_b_f_n w_b_div\"><div class=\"w_b_icon_wrap w_b_relative w_b_div\"><div class=\"w_b_ava_wrap w_b_direction_O w_b_mp0 w_b_div\"><div class=\"w_b_ava_effect w_b_relative w_b_oh w_b_size_S w_b_div\" style=\"\">\n<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/plugins\/word-balloon\/img\/mystery_men.svg\" width=\"64\" height=\"64\" alt=\"\" class=\"w_b_ava_img w_b_w100 w_b_h100  w_b_mp0 w_b_img\" style=\"\" \/>\n<\/div><\/div><\/div><\/div><\/div><\/div><\/td>\n<\/tr>\n<tr>\n<td>4.<\/td>\n<td>\\(\\begin{array}{*{20}{c}}{\\left\\{ {\\begin{array}{*{20}{l}}{y = x + 5}\\\\{y = 2x}\\end{array}} \\right.}&amp; \\Leftrightarrow &amp;{\\left\\{ {\\begin{array}{*{20}{l}}{x = 5}\\\\{y = 10}\\end{array}} \\right.}\\end{array}\\)<\/td>\n<td><div class=\"w_b_box w_b_w100 w_b_flex w_b_jc_c w_b_mla w_b_mra w_b_div\"><div class=\"w_b_wrap w_b_wrap_upper w_b_R w_b_flex w_b_jc_fe w_b_col w_b_ai_fe w_b_div\" style=\"\"><div class=\"w_b_bal_box w_b_bal_R w_b_relative w_b_direction_O w_b_w100 w_b_div\"><div class=\"w_b_bal_outer w_b_flex w_b_mp0 w_b_relative w_b_div\" style=\"\"><div class=\"w_b_bal_wrap w_b_bal_wrap_R w_b_div\"><div class=\"w_b_bal w_b_relative w_b_upper w_b_upper_R w_b_shadow_R w_b_bal_O w_b_ta_C w_b_div\"><div class=\"w_b_quote w_b_div\">\\(\\begin{array}{*{20}{c}}{2x = x + 5}&amp; \\Leftrightarrow &amp;{x = 5}\\\\{y = 2 \\times 5}&amp; \\Leftrightarrow &amp;{y = 10}\\end{array}\\)<\/div><\/div><\/div><\/div><div class=\"w_b_space w_b_mp0 w_b_div\"><svg version=\"1.1\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" x=\"0px\" y=\"0px\" width=\"1\" height=\"18\" viewBox=\"0 0 1 1\" fill=\"transparent\" stroke=\"transparent\" stroke-miterlimit=\"10\" class=\"w_b_db w_b_mp0\"><polygon fill=\"transparent\" stroke=\"transparent\" points=\"0,1 0,1 0,1 0,1 \"\/><\/svg><\/div><\/div><div class=\"w_b_ava_box w_b_relative w_b_ava_R w_b_f_n w_b_div\"><div class=\"w_b_icon_wrap w_b_relative w_b_div\"><div class=\"w_b_ava_wrap w_b_direction_O w_b_mp0 w_b_div\"><div class=\"w_b_ava_effect w_b_relative w_b_oh w_b_size_S w_b_div\" style=\"\">\n<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/plugins\/word-balloon\/img\/mystery_men.svg\" width=\"64\" height=\"64\" alt=\"\" class=\"w_b_ava_img w_b_w100 w_b_h100  w_b_mp0 w_b_img\" style=\"\" \/>\n<\/div><\/div><\/div><\/div><\/div><\/div><\/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_25881' onClick='GTTabs_show(0,25881)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Encontra mentalmente a solu\u00e7\u00e3o de cada um dos sistemas de equa\u00e7\u00f5es.Explica como fizeste. \\(\\left\\{ {\\begin{array}{*{20}{l}}{x = \\frac{1}{2}}\\\\{2x + y = 7}\\end{array}} \\right.\\) \\(\\left\\{ {\\begin{array}{*{20}{l}}{x + y = 11}\\\\{\\frac{y}{2} = 5}\\end{array}} \\right.\\)&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":25907,"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-25881","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":57,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/05\/8_Pag202-1_520x245.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/25881","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=25881"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/25881\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/25907"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=25881"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=25881"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=25881"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=25881"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}