{"id":30,"date":"2023-02-26T15:48:09","date_gmt":"2023-02-26T15:48:09","guid":{"rendered":"https:\/\/matematicas.tecnovidapr.com\/?p=30"},"modified":"2024-05-01T19:40:50","modified_gmt":"2024-05-01T19:40:50","slug":"las-ecuaciones","status":"publish","type":"post","link":"https:\/\/matematicas.tecnovidapr.com\/index.php\/2023\/02\/26\/las-ecuaciones\/","title":{"rendered":"Las Ecuaciones"},"content":{"rendered":"\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" loading=\"lazy\" width=\"640\" height=\"246\" src=\"https:\/\/matematicas.tecnovidapr.com\/wp-content\/uploads\/2023\/02\/man-4334177_640.jpg\" alt=\"\" class=\"wp-image-34\" srcset=\"https:\/\/matematicas.tecnovidapr.com\/wp-content\/uploads\/2023\/02\/man-4334177_640.jpg 640w, https:\/\/matematicas.tecnovidapr.com\/wp-content\/uploads\/2023\/02\/man-4334177_640-300x115.jpg 300w, https:\/\/matematicas.tecnovidapr.com\/wp-content\/uploads\/2023\/02\/man-4334177_640-600x231.jpg 600w\" sizes=\"(max-width: 640px) 100vw, 640px\" \/><\/figure>\n\n\n\n<p><strong>\u00bfQu\u00e9 son las ecuaciones?<\/strong><\/p>\n\n\n\n<p>Una ecuaci\u00f3n es una igualdad entre dos expresiones algebraicas que se cumple para un valor o valores espec\u00edficos de la variable. En otras palabras, una ecuaci\u00f3n es como una balanza que mantiene el equilibrio entre dos t\u00e9rminos.<\/p>\n\n\n\n<p class=\"has-pale-cyan-blue-background-color has-background\"><strong>\u00bfC\u00f3mo resolver ecuaciones?<\/strong><\/p>\n\n\n\n<p>Para resolver una ecuaci\u00f3n, se deben seguir los siguientes pasos:<\/p>\n\n\n\n<ol type=\"1\" start=\"1\">\n<li>Simplificar la expresi\u00f3n en ambos lados de la igualdad, combinando t\u00e9rminos semejantes.<\/li>\n\n\n\n<li>Mover t\u00e9rminos de un lado de la igualdad al otro, cambiando el signo.<\/li>\n\n\n\n<li>Aplicar las propiedades de las operaciones para aislar la variable en un lado de la igualdad.<\/li>\n\n\n\n<li>Verificar la soluci\u00f3n sustituyendo la variable por el valor obtenido y comprobando que se cumple la igualdad.<\/li>\n<\/ol>\n\n\n\n<p><strong>Veamos algunos ejemplos:<\/strong><\/p>\n\n\n\n<p class=\"has-pale-cyan-blue-background-color has-background\"><strong>Ejemplo 1:<\/strong><\/p>\n\n\n\n<p>Resuelve la ecuaci\u00f3n 3x &#8211; 7 = 8<\/p>\n\n\n\n<ol type=\"1\" start=\"1\">\n<li>Sumamos 7 a ambos lados de la ecuaci\u00f3n: 3x = 15<\/li>\n\n\n\n<li>Dividimos ambos lados por 3: x = 5<\/li>\n<\/ol>\n\n\n\n<p>Por lo tanto, la soluci\u00f3n de la ecuaci\u00f3n es x = 5.<\/p>\n\n\n\n<p class=\"has-pale-cyan-blue-background-color has-background\"><strong>Ejemplo 2:<\/strong><\/p>\n\n\n\n<p>Resuelve la ecuaci\u00f3n 2(x + 3) = 10<\/p>\n\n\n\n<ol type=\"1\" start=\"1\">\n<li>Multiplicamos 2 por cada t\u00e9rmino dentro del par\u00e9ntesis: 2x + 6 = 10<\/li>\n\n\n\n<li>Restamos 6 a ambos lados de la ecuaci\u00f3n: 2x = 4<\/li>\n\n\n\n<li>Dividimos ambos lados por 2: x = 2<\/li>\n<\/ol>\n\n\n\n<p>Por lo tanto, la soluci\u00f3n de la ecuaci\u00f3n es x = 2.<\/p>\n\n\n\n<p class=\"has-pale-cyan-blue-background-color has-background\"><strong>Ejemplo 3:<\/strong><\/p>\n\n\n\n<p>Resuelve la ecuaci\u00f3n 5 &#8211; 2x = 3x + 1<\/p>\n\n\n\n<ol type=\"1\" start=\"1\">\n<li>Sumamos 2x a ambos lados de la ecuaci\u00f3n: 5 = 5x + 1<\/li>\n\n\n\n<li>Restamos 1 a ambos lados de la ecuaci\u00f3n: 4 = 5x<\/li>\n\n\n\n<li>Dividimos ambos lados por 5: x = 0.8<\/li>\n<\/ol>\n\n\n\n<p>Por lo tanto, la soluci\u00f3n de la ecuaci\u00f3n es  <img decoding=\"async\" loading=\"lazy\" width=\"51\" height=\"59\" class=\"wp-image-32\" style=\"width: 40px;\" src=\"https:\/\/matematicas.tecnovidapr.com\/wp-content\/uploads\/2023\/02\/eje1.png\" alt=\"\"><\/p>\n\n\n\n<p>Espero que este tutorial te haya sido \u00fatil para entender c\u00f3mo resolver ecuaciones. Recuerda practicar con varios ejemplos para afianzar tus conocimientos. \u00a1Mucho \u00e9xito!<\/p>\n\n\n\n<p class=\"has-pale-cyan-blue-background-color has-background\"><strong>Puedes ver los siguientes videos: <\/strong><\/p>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<iframe loading=\"lazy\" title=\"Claves para entender y resolver ecuaciones matem\u00e1ticas\" width=\"640\" height=\"360\" src=\"https:\/\/www.youtube.com\/embed\/8J_-tDMcDPo?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" allowfullscreen><\/iframe>\n<\/div><\/figure>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<iframe loading=\"lazy\" title=\"Ecuaciones de un Paso\" width=\"640\" height=\"360\" src=\"https:\/\/www.youtube.com\/embed\/GsopYOXxF8A?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" allowfullscreen><\/iframe>\n<\/div><\/figure>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<iframe loading=\"lazy\" title=\"Ecuaciones  Parte 2\" width=\"640\" height=\"360\" src=\"https:\/\/www.youtube.com\/embed\/BelbgK77Lqc?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" allowfullscreen><\/iframe>\n<\/div><\/figure>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<iframe loading=\"lazy\" title=\"C\u00f3mo hallar el valor de la variable x:Video 4, Ejercicio 3\" width=\"640\" height=\"360\" src=\"https:\/\/www.youtube.com\/embed\/K8SMiwhe58w?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" allowfullscreen><\/iframe>\n<\/div><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>\u00bfQu\u00e9 son las ecuaciones? Una ecuaci\u00f3n es una igualdad entre dos expresiones algebraicas que se cumple para un valor o valores espec\u00edficos de la variable. En otras palabras, una ecuaci\u00f3n es como una balanza que mantiene el equilibrio entre dos t\u00e9rminos. \u00bfC\u00f3mo resolver ecuaciones? Para resolver una ecuaci\u00f3n, se deben seguir los siguientes pasos: Veamos [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[4],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v20.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Las Ecuaciones - Matematicas Basicas<\/title>\n<meta name=\"description\" content=\"Una ecuaci\u00f3n es una igualdad entre dos expresiones algebraicas que se cumple para un valor o valores espec\u00edficos de la variable.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/matematicas.tecnovidapr.com\/index.php\/2023\/02\/26\/las-ecuaciones\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Las Ecuaciones - Matematicas Basicas\" \/>\n<meta property=\"og:description\" content=\"Una ecuaci\u00f3n es una igualdad entre dos expresiones algebraicas que se cumple para un valor o valores espec\u00edficos de la variable.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/matematicas.tecnovidapr.com\/index.php\/2023\/02\/26\/las-ecuaciones\/\" \/>\n<meta property=\"og:site_name\" content=\"Matematicas Basicas\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/profmjfernandez\" \/>\n<meta property=\"article:author\" content=\"https:\/\/www.facebook.com\/profmjfernandez\" \/>\n<meta property=\"article:published_time\" content=\"2023-02-26T15:48:09+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2024-05-01T19:40:50+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/matematicas.tecnovidapr.com\/wp-content\/uploads\/2023\/02\/man-4334177_640.jpg\" \/>\n<meta name=\"author\" content=\"Prof. Manuel Fern\u00e1ndez\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"Prof. Manuel Fern\u00e1ndez\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"2 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/matematicas.tecnovidapr.com\/index.php\/2023\/02\/26\/las-ecuaciones\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/matematicas.tecnovidapr.com\/index.php\/2023\/02\/26\/las-ecuaciones\/\"},\"author\":{\"name\":\"Prof. Manuel Fern\u00e1ndez\",\"@id\":\"https:\/\/matematicas.tecnovidapr.com\/#\/schema\/person\/a0d158cb29038192d0b1beea2d172dad\"},\"headline\":\"Las Ecuaciones\",\"datePublished\":\"2023-02-26T15:48:09+00:00\",\"dateModified\":\"2024-05-01T19:40:50+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/matematicas.tecnovidapr.com\/index.php\/2023\/02\/26\/las-ecuaciones\/\"},\"wordCount\":296,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\/\/matematicas.tecnovidapr.com\/#\/schema\/person\/a0d158cb29038192d0b1beea2d172dad\"},\"articleSection\":[\"Algebra\"],\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\/\/matematicas.tecnovidapr.com\/index.php\/2023\/02\/26\/las-ecuaciones\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/matematicas.tecnovidapr.com\/index.php\/2023\/02\/26\/las-ecuaciones\/\",\"url\":\"https:\/\/matematicas.tecnovidapr.com\/index.php\/2023\/02\/26\/las-ecuaciones\/\",\"name\":\"Las Ecuaciones - 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