{"id":2284,"date":"2023-07-22T22:42:58","date_gmt":"2023-07-22T22:42:58","guid":{"rendered":"https:\/\/statorials.org\/pt\/resolver-um-sistema-de-equacoes-no-excel\/"},"modified":"2023-07-22T22:42:58","modified_gmt":"2023-07-22T22:42:58","slug":"resolver-um-sistema-de-equacoes-no-excel","status":"publish","type":"post","link":"https:\/\/statorials.org\/pt\/resolver-um-sistema-de-equacoes-no-excel\/","title":{"rendered":"Como resolver um sistema de equa\u00e7\u00f5es no excel (3 exemplos)"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">Para resolver um sistema de equa\u00e7\u00f5es no Excel, pode-se utilizar as fun\u00e7\u00f5es <strong>MMULT<\/strong> e <strong>MINVERSE<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Os exemplos a seguir mostram como usar essas fun\u00e7\u00f5es para resolver v\u00e1rios sistemas de equa\u00e7\u00f5es diferentes no Excel.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Exemplo 1: Resolva um sistema de equa\u00e7\u00f5es em duas vari\u00e1veis<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Suponha que temos o seguinte sistema de equa\u00e7\u00f5es e queremos resolver os valores de x e y:<\/span><\/p>\n<p> <span style=\"color: #000000;\">5x + 4 anos = 35<\/span><\/p>\n<p> <span style=\"color: #000000;\">2x + 6 anos = 36<\/span><\/p>\n<p> <span style=\"color: #000000;\">Para resolver este sistema de equa\u00e7\u00f5es, podemos primeiro inserir os seguintes valores no Excel:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-20781 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/resoudre1-1.png\" alt=\"\" width=\"542\" height=\"328\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Podemos ent\u00e3o usar a seguinte f\u00f3rmula para resolver os valores de x e y:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 17px;\"> <strong>=MMULT(MINVERSE( <span style=\"color: #3366ff;\">A1:B2<\/span> ), <span style=\"color: #ff0000;\">C1:C2<\/span> )\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\"><span style=\"color: #000000;\">Podemos digitar esta f\u00f3rmula na c\u00e9lula E1 e pressionar CTRL + SHIFT + ENTER:<\/span><\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-20782 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/resoudre2.png\" alt=\"\" width=\"541\" height=\"335\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Isso nos diz que o valor de x \u00e9 <strong>3<\/strong> e o valor de y \u00e9 <strong>5<\/strong> .<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Exemplo 2: Resolvendo um sistema de equa\u00e7\u00f5es com tr\u00eas vari\u00e1veis<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Suponha que temos o seguinte sistema de equa\u00e7\u00f5es e queremos resolver os valores de x, y e z:<\/span><\/p>\n<p> <span style=\"color: #000000;\">4x + 2y + 1z = 34<\/span><\/p>\n<p> <span style=\"color: #000000;\">3x + 5 anos \u2013 2z = 41<\/span><\/p>\n<p> <span style=\"color: #000000;\">2x + 2a + 4z = 30<\/span><\/p>\n<p> <span style=\"color: #000000;\">Para resolver este sistema de equa\u00e7\u00f5es, podemos primeiro inserir os seguintes valores no Excel:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-20783 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/resoudre3.png\" alt=\"\" width=\"521\" height=\"317\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Podemos ent\u00e3o usar a seguinte f\u00f3rmula para resolver os valores de x, y e z:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 17px;\"> <strong>=MMULT(MINVERSE( <span style=\"color: #3366ff;\">A1:C3<\/span> ), <span style=\"color: #ff0000;\">D1:D3<\/span> )\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Podemos digitar esta f\u00f3rmula na c\u00e9lula F1 e pressionar CTRL+SHIFT+ENTER:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-20784 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/resoudre4.png\" alt=\"\" width=\"517\" height=\"348\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Isso nos diz que o valor de x \u00e9 <strong>5<\/strong> , o valor de y \u00e9 <strong>6<\/strong> e o valor de z \u00e9 <strong>2<\/strong> .<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Exemplo 3: Resolvendo um sistema de equa\u00e7\u00f5es com quatro vari\u00e1veis<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Suponha que temos o seguinte sistema de equa\u00e7\u00f5es e queremos resolver os valores de w, x, y e z:<\/span><\/p>\n<p> <span style=\"color: #000000;\">6w + 2x + 2y + 1z = 37<\/span><\/p>\n<p> <span style=\"color: #000000;\">2w + 1x + 1y + 0z = 14<\/span><\/p>\n<p> <span style=\"color: #000000;\">3s + 2x + 2a + 4z = 28<\/span><\/p>\n<p> <span style=\"color: #000000;\">2w + 0x + 5y + 5z = 28<\/span><\/p>\n<p> <span style=\"color: #000000;\">Para resolver este sistema de equa\u00e7\u00f5es, podemos primeiro inserir os seguintes valores no Excel:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-20785 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/resoudre5.png\" alt=\"\" width=\"509\" height=\"318\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Podemos ent\u00e3o usar a seguinte f\u00f3rmula para resolver os valores de w, x, y e z:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 17px;\"> <strong>=MMULT(MINVERSE( <span style=\"color: #3366ff;\">A1:D4<\/span> ), <span style=\"color: #ff0000;\">E1:E4<\/span> )\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Podemos digitar esta f\u00f3rmula na c\u00e9lula G1 e pressionar CTRL + SHIFT + ENTER:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-20786 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/resoudre6.png\" alt=\"\" width=\"582\" height=\"332\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Isso nos diz que o valor de w \u00e9 <strong>4<\/strong> , x \u00e9 <strong>3<\/strong> , y \u00e9 <strong>3<\/strong> e z \u00e9 <strong>1<\/strong> .<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Recursos adicionais<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Os tutoriais a seguir explicam como realizar outras opera\u00e7\u00f5es comuns no Excel:<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/pt\/desenhe-a-equacao-do-excel\/\" target=\"_blank\" rel=\"noopener\">Como tra\u00e7ar uma equa\u00e7\u00e3o no Excel<\/a><br \/> <a href=\"https:\/\/statorials.org\/pt\/normalizar-dados-do-excel\/\" target=\"_blank\" rel=\"noopener\">Como normalizar dados no Excel<\/a><br \/> <a href=\"https:\/\/statorials.org\/pt\/ajuste-de-curva-no-excel\/\" target=\"_blank\" rel=\"noopener\">Como ajustar uma curva no Excel<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Para resolver um sistema de equa\u00e7\u00f5es no Excel, pode-se utilizar as fun\u00e7\u00f5es MMULT e MINVERSE . Os exemplos a seguir mostram como usar essas fun\u00e7\u00f5es para resolver v\u00e1rios sistemas de equa\u00e7\u00f5es diferentes no Excel. Exemplo 1: Resolva um sistema de equa\u00e7\u00f5es em duas vari\u00e1veis Suponha que temos o seguinte sistema de equa\u00e7\u00f5es e queremos resolver [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[11],"tags":[],"class_list":["post-2284","post","type-post","status-publish","format-standard","hentry","category-guia"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Como resolver um sistema de equa\u00e7\u00f5es no Excel (3 exemplos) - Estatologia<\/title>\n<meta name=\"description\" content=\"Este tutorial explica como resolver um sistema de equa\u00e7\u00f5es no Excel, com v\u00e1rios exemplos.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/statorials.org\/pt\/resolver-um-sistema-de-equacoes-no-excel\/\" \/>\n<meta property=\"og:locale\" content=\"pt_PT\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Como resolver um sistema de equa\u00e7\u00f5es no Excel (3 exemplos) - Estatologia\" \/>\n<meta property=\"og:description\" content=\"Este tutorial explica como resolver um sistema de equa\u00e7\u00f5es no Excel, com v\u00e1rios exemplos.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/pt\/resolver-um-sistema-de-equacoes-no-excel\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-22T22:42:58+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/resoudre1-1.png\" \/>\n<meta name=\"author\" content=\"Dr. benjamim anderson\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Escrito por\" \/>\n\t<meta name=\"twitter:data1\" content=\"Dr. benjamim anderson\" \/>\n\t<meta name=\"twitter:label2\" content=\"Tempo estimado de leitura\" \/>\n\t<meta name=\"twitter:data2\" content=\"2 minutos\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/pt\/resolver-um-sistema-de-equacoes-no-excel\/\",\"url\":\"https:\/\/statorials.org\/pt\/resolver-um-sistema-de-equacoes-no-excel\/\",\"name\":\"Como resolver um sistema de equa\u00e7\u00f5es no Excel (3 exemplos) - Estatologia\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/pt\/#website\"},\"datePublished\":\"2023-07-22T22:42:58+00:00\",\"dateModified\":\"2023-07-22T22:42:58+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/pt\/#\/schema\/person\/e08f98e8db95e0aa9c310e1b27c9c666\"},\"description\":\"Este tutorial explica como resolver um sistema de equa\u00e7\u00f5es no Excel, com v\u00e1rios exemplos.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/pt\/resolver-um-sistema-de-equacoes-no-excel\/#breadcrumb\"},\"inLanguage\":\"pt-PT\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/pt\/resolver-um-sistema-de-equacoes-no-excel\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/pt\/resolver-um-sistema-de-equacoes-no-excel\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Lar\",\"item\":\"https:\/\/statorials.org\/pt\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Como resolver um sistema de equa\u00e7\u00f5es no excel (3 exemplos)\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/statorials.org\/pt\/#website\",\"url\":\"https:\/\/statorials.org\/pt\/\",\"name\":\"Statorials\",\"description\":\"O seu guia para a literacia estat\u00edstica!\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/statorials.org\/pt\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"pt-PT\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/statorials.org\/pt\/#\/schema\/person\/e08f98e8db95e0aa9c310e1b27c9c666\",\"name\":\"Dr. benjamim anderson\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"pt-PT\",\"@id\":\"https:\/\/statorials.org\/pt\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/statorials.org\/pt\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"contentUrl\":\"https:\/\/statorials.org\/pt\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"caption\":\"Dr. benjamim anderson\"},\"description\":\"Ol\u00e1, sou Benjamin, um professor aposentado de estat\u00edstica que se tornou professor dedicado na Statorials. 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