{"id":163042,"date":"2024-11-08T07:01:30","date_gmt":"2024-11-08T07:01:30","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=163042"},"modified":"2024-11-08T07:01:32","modified_gmt":"2024-11-08T07:01:32","slug":"which-is-a-solution-of-the-equation-y-4x-3","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/11\/08\/which-is-a-solution-of-the-equation-y-4x-3\/","title":{"rendered":"Which is a solution of the equation y = 4x + 3"},"content":{"rendered":"\n<p>Which is a solution of the equation y = 4x + 3?<br>(1 point)<br>(5, 17)<br>(17,5)<br>(4, 19)<br>(4, 16)<\/p>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\"><strong>The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n<p>The equation given is ( y = 4x + 3 ), which is in the slope-intercept form of a linear equation, where ( y ) is the dependent variable, ( x ) is the independent variable, and the slope is 4, while the y-intercept is 3.<\/p>\n\n\n\n<p>We are tasked with determining which of the following ordered pairs is a solution to this equation:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>(5, 17)<\/li>\n\n\n\n<li>(17, 5)<\/li>\n\n\n\n<li>(4, 19)<\/li>\n\n\n\n<li>(4, 16)<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Step-by-Step Process to Check Each Option:<\/h3>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Substitute ( x = 5 ) into the equation ( y = 4x + 3 ):<\/strong> [<br>y = 4(5) + 3 = 20 + 3 = 23<br>] So, for ( x = 5 ), ( y ) should be 23. The point (5, 17) does not satisfy this equation because the y-value is 17, not 23. Therefore, (5, 17) is <strong>not<\/strong> a solution.<\/li>\n\n\n\n<li><strong>Substitute ( x = 17 ) into the equation ( y = 4x + 3 ):<\/strong> [<br>y = 4(17) + 3 = 68 + 3 = 71<br>] So, for ( x = 17 ), ( y ) should be 71. The point (17, 5) does not satisfy this equation because the y-value is 5, not 71. Therefore, (17, 5) is <strong>not<\/strong> a solution.<\/li>\n\n\n\n<li><strong>Substitute ( x = 4 ) into the equation ( y = 4x + 3 ):<\/strong> [<br>y = 4(4) + 3 = 16 + 3 = 19<br>] So, for ( x = 4 ), ( y ) should be 19. The point (4, 19) satisfies the equation. Therefore, (4, 19) <strong>is<\/strong> a solution.<\/li>\n\n\n\n<li><strong>Substitute ( x = 4 ) into the equation ( y = 4x + 3 ):<\/strong> [<br>y = 4(4) + 3 = 16 + 3 = 19<br>] So, for ( x = 4 ), ( y ) should be 19. The point (4, 16) does not satisfy this equation because the y-value is 16, not 19. Therefore, (4, 16) is <strong>not<\/strong> a solution.<\/li>\n<\/ol>\n\n\n\n<h3 class=\"wp-block-heading\">Conclusion:<\/h3>\n\n\n\n<p>The correct solution to the equation ( y = 4x + 3 ) is the point <strong>(4, 19)<\/strong>, as substituting ( x = 4 ) into the equation results in ( y = 19 ), which matches the second value of the ordered pair.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Which is a solution of the equation y = 4x + 3?(1 point)(5, 17)(17,5)(4, 19)(4, 16) The Correct Answer and Explanation is : The equation given is ( y = 4x + 3 ), which is in the slope-intercept form of a linear equation, where ( y ) is the dependent variable, ( x ) [&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-163042","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/163042","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=163042"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/163042\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=163042"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=163042"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=163042"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}