{"id":271407,"date":"2025-07-25T19:11:13","date_gmt":"2025-07-25T19:11:13","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=271407"},"modified":"2025-07-25T19:11:15","modified_gmt":"2025-07-25T19:11:15","slug":"can-someone-answer-this-2x-6y-20-3x-4y-10-using-either-substitution-or-elimination-i-need-the-x-and-y-values","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/25\/can-someone-answer-this-2x-6y-20-3x-4y-10-using-either-substitution-or-elimination-i-need-the-x-and-y-values\/","title":{"rendered":"can someone answer this {2x + 6y = 20} {3x +4y = 10} using either substitution or elimination i need the “x” and “y” values."},"content":{"rendered":"\n

can someone answer this {2x + 6y = 20} {3x +4y = 10} using either substitution or elimination i need the “x” and “y” values.<\/p>\n\n\n\n

The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n

We can solve the system of equations using either substitution or elimination. Let’s use substitution<\/strong> in this case to solve for xxx and yyy.<\/p>\n\n\n\n

The system of equations is:<\/p>\n\n\n\n

    \n
  1. 2x+6y=202x + 6y = 202x+6y=20<\/li>\n\n\n\n
  2. 3x+4y=103x + 4y = 103x+4y=10<\/li>\n<\/ol>\n\n\n\n

    Step 1: Solve for xxx in terms of yyy from the first equation.<\/h3>\n\n\n\n

    From equation (1), solve for xxx:2x+6y=202x + 6y = 202x+6y=20<\/p>\n\n\n\n

    Subtract 6y6y6y from both sides:2x=20\u22126y2x = 20 – 6y2x=20\u22126y<\/p>\n\n\n\n

    Now divide both sides by 2:x=10\u22123yx = 10 – 3yx=10\u22123y<\/p>\n\n\n\n

    Step 2: Substitute x=10\u22123yx = 10 – 3yx=10\u22123y into the second equation.<\/h3>\n\n\n\n

    Now substitute x=10\u22123yx = 10 – 3yx=10\u22123y into equation (2):3x+4y=103x + 4y = 103x+4y=10<\/p>\n\n\n\n

    Substitute for xxx:3(10\u22123y)+4y=103(10 – 3y) + 4y = 103(10\u22123y)+4y=10<\/p>\n\n\n\n

    Distribute the 3:30\u22129y+4y=1030 – 9y + 4y = 1030\u22129y+4y=10<\/p>\n\n\n\n

    Simplify:30\u22125y=1030 – 5y = 1030\u22125y=10<\/p>\n\n\n\n

    Now subtract 30 from both sides:\u22125y=10\u221230-5y = 10 – 30\u22125y=10\u221230\u22125y=\u221220-5y = -20\u22125y=\u221220<\/p>\n\n\n\n

    Divide both sides by -5:y=4y = 4y=4<\/p>\n\n\n\n

    Step 3: Substitute y=4y = 4y=4 into x=10\u22123yx = 10 – 3yx=10\u22123y.<\/h3>\n\n\n\n

    Now that we know y=4y = 4y=4, substitute it back into x=10\u22123yx = 10 – 3yx=10\u22123y:x=10\u22123(4)x = 10 – 3(4)x=10\u22123(4)x=10\u221212x = 10 – 12x=10\u221212x=\u22122x = -2x=\u22122<\/p>\n\n\n\n

    Final Answer:<\/h3>\n\n\n\n

    The solution to the system of equations is:x=\u22122andy=4x = -2 \\quad \\text{and} \\quad y = 4x=\u22122andy=4<\/p>\n\n\n\n

    Explanation:<\/h3>\n\n\n\n

    We first isolated xxx in terms of yyy from one equation, then substituted this expression into the second equation. This allowed us to solve for yyy, and once we found y=4y = 4y=4, we substituted this value back into the expression for xxx to find x=\u22122x = -2x=\u22122. Therefore, the solution to the system is x=\u22122x = -2x=\u22122 and y=4y = 4y=4.<\/p>\n\n\n\n

    \"\"<\/figure>\n","protected":false},"excerpt":{"rendered":"

    can someone answer this {2x + 6y = 20} {3x +4y = 10} using either substitution or elimination i need the “x” and “y” values. The Correct Answer and Explanation is: We can solve the system of equations using either substitution or elimination. Let’s use substitution in this case to solve for xxx and yyy. […]<\/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-271407","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/271407","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=271407"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/271407\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=271407"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=271407"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=271407"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}