{"id":170659,"date":"2024-11-19T22:05:21","date_gmt":"2024-11-19T22:05:21","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=170659"},"modified":"2024-11-19T22:05:23","modified_gmt":"2024-11-19T22:05:23","slug":"solve-for-e-9e-4-%e2%88%92-5e-14-13e-9e-4-5e-14-13e","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/11\/19\/solve-for-e-9e-4-%e2%88%92-5e-14-13e-9e-4-5e-14-13e\/","title":{"rendered":"Solve for e 9e + 4 = \u2212 5e + 14 + 13e 9e + 4 = -5e + 14 + 13e"},"content":{"rendered":"\n<p>Solve for e 9e + 4 = \u2212 5e + 14 + 13e 9e + 4 = -5e + 14 + 13e<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>To solve for ( e ) in the equation:<\/p>\n\n\n\n<p>[<br>9e + 4 = -5e + 14 + 13e<br>]<\/p>\n\n\n\n<p><strong>Step 1: Simplify both sides of the equation.<\/strong><\/p>\n\n\n\n<p>On the right-hand side, combine the like terms (-5e) and (13e):<\/p>\n\n\n\n<p>[<br>9e + 4 = ( -5e + 13e) + 14<br>]<br>[<br>9e + 4 = 8e + 14<br>]<\/p>\n\n\n\n<p>Now, the equation is:<\/p>\n\n\n\n<p>[<br>9e + 4 = 8e + 14<br>]<\/p>\n\n\n\n<p><strong>Step 2: Move the terms involving ( e ) to one side of the equation.<\/strong><\/p>\n\n\n\n<p>To eliminate ( 8e ) from the right side, subtract ( 8e ) from both sides of the equation:<\/p>\n\n\n\n<p>[<br>9e &#8211; 8e + 4 = 8e &#8211; 8e + 14<br>]<br>[<br>e + 4 = 14<br>]<\/p>\n\n\n\n<p><strong>Step 3: Move the constant terms to the other side.<\/strong><\/p>\n\n\n\n<p>Now, subtract ( 4 ) from both sides of the equation:<\/p>\n\n\n\n<p>[<br>e + 4 &#8211; 4 = 14 &#8211; 4<br>]<br>[<br>e = 10<br>]<\/p>\n\n\n\n<p>So, the solution is ( e = 10 ).<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<p>In this problem, we are solving a linear equation involving the variable ( e ). To solve for ( e ), we follow the basic algebraic steps of simplifying and isolating the variable.<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Simplification:<\/strong> First, we combine like terms, especially the terms with ( e ) on both sides of the equation.<\/li>\n\n\n\n<li><strong>Isolating the variable:<\/strong> We then move all terms involving ( e ) to one side and constant terms to the other side to simplify the equation further.<\/li>\n\n\n\n<li><strong>Final step:<\/strong> By subtracting and adding appropriate terms, we isolate ( e ) on one side of the equation, allowing us to solve for its value.<\/li>\n<\/ol>\n\n\n\n<p>This method is called solving a linear equation, and it ensures that we find the correct value for the variable by maintaining the equality of both sides of the equation.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Solve for e 9e + 4 = \u2212 5e + 14 + 13e 9e + 4 = -5e + 14 + 13e The Correct Answer and Explanation is: To solve for ( e ) in the equation: [9e + 4 = -5e + 14 + 13e] Step 1: Simplify both sides of the equation. On [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-170659","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/170659","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=170659"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/170659\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=170659"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=170659"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=170659"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}