{"id":160377,"date":"2024-11-02T19:37:17","date_gmt":"2024-11-02T19:37:17","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=160377"},"modified":"2024-11-02T19:37:19","modified_gmt":"2024-11-02T19:37:19","slug":"which-equation-is-equivalent-to-x1536","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/11\/02\/which-equation-is-equivalent-to-x1536\/","title":{"rendered":"Which equation is equivalent to x+15=36"},"content":{"rendered":"\n<p>Which equation is equivalent to x+15=36 ?<br>A. x=3<br>B. x+15=9<br>C. x+15=\u22126<br>D. x=24<\/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 the equation ( x + 15 = 36 ), we need to isolate the variable ( x ). The goal is to determine the value of ( x ) that makes the equation true.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Steps to Solve the Equation:<\/h3>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Start with the original equation:<\/strong><br>[<br>x + 15 = 36<br>]<\/li>\n\n\n\n<li><strong>Subtract 15 from both sides:<\/strong><br>To isolate ( x ), we can perform the operation of subtraction. This involves taking away 15 from both sides of the equation, which keeps the equation balanced.<br>[<br>x + 15 &#8211; 15 = 36 &#8211; 15<br>]<\/li>\n\n\n\n<li><strong>Simplify both sides:<\/strong><br>After subtracting 15 from the left side, it simplifies to ( x ):<br>[<br>x = 36 &#8211; 15<br>]<br>On the right side, performing the subtraction gives:<br>[<br>x = 21<br>]<\/li>\n<\/ol>\n\n\n\n<h3 class=\"wp-block-heading\">Understanding the Equivalent Equations:<\/h3>\n\n\n\n<p>To find an equation that is equivalent to the original equation, we can transform the original equation into different forms. An equivalent equation is one that has the same solution.<\/p>\n\n\n\n<p>Among the answer choices provided:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>A. ( x = 3 )<\/strong> is incorrect since we found ( x = 21 ).<\/li>\n\n\n\n<li><strong>B. ( x + 15 = 9 )<\/strong> can be tested: If we rearrange it to solve for ( x ), we subtract 15 from both sides to get ( x = 9 &#8211; 15 ), leading to ( x = -6 ). This does not match our solution.<\/li>\n\n\n\n<li><strong>C. ( x + 15 = -6 )<\/strong> can also be checked: Rearranging gives ( x = -6 &#8211; 15 ), resulting in ( x = -21 ), which is not correct.<\/li>\n\n\n\n<li><strong>D. ( x = 24 )<\/strong> is also not correct since we found ( x = 21 ).<\/li>\n<\/ul>\n\n\n\n<p>To verify, we should check the original equation with the correct solution. We originally calculated that:<br>[<br>x + 15 = 36<br>]<br>Setting ( x = 21 ) gives us:<br>[<br>21 + 15 = 36<br>]<br>Since this is true, the value of ( x ) we found is correct.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Conclusion:<\/h3>\n\n\n\n<p>None of the provided options are equivalent to the equation ( x + 15 = 36 ). The correct value of ( x ) that satisfies the equation is ( x = 21 ). The process of isolating the variable and verifying through substitution is crucial in solving equations effectively.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Which equation is equivalent to x+15=36 ?A. x=3B. x+15=9C. x+15=\u22126D. x=24 The Correct Answer and Explanation is: To solve the equation ( x + 15 = 36 ), we need to isolate the variable ( x ). The goal is to determine the value of ( x ) that makes the equation true. Steps to [&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-160377","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/160377","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=160377"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/160377\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=160377"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=160377"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=160377"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}