{"id":202674,"date":"2025-03-17T19:10:47","date_gmt":"2025-03-17T19:10:47","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=202674"},"modified":"2025-03-17T19:10:48","modified_gmt":"2025-03-17T19:10:48","slug":"if-y3x-100-and-x50-then-the-value-of-y-is","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/03\/17\/if-y3x-100-and-x50-then-the-value-of-y-is\/","title":{"rendered":"IF Y=3x-100 and x=50 then the value of y is"},"content":{"rendered":"\n<p>IF Y=3x-100 and x=50 then the value of y is<\/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>To solve the equation ( Y = 3x &#8211; 100 ) for ( x = 50 ), we will substitute the value of ( x ) into the equation and calculate the value of ( Y ).<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Substitute the value of ( x ) into the equation.<\/h3>\n\n\n\n<p>The given equation is:<br>[<br>Y = 3x &#8211; 100<br>]<br>Substituting ( x = 50 ) into this equation:<br>[<br>Y = 3(50) &#8211; 100<br>]<br>[<br>Y = 150 &#8211; 100<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Simplify the expression.<\/h3>\n\n\n\n<p>Now, simplify the right-hand side:<br>[<br>Y = 150 &#8211; 100 = 50<br>]<\/p>\n\n\n\n<p>Thus, the value of ( Y ) when ( x = 50 ) is <strong>50<\/strong>.<\/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>This problem involves solving a linear equation in one variable, ( x ). The equation is given as ( Y = 3x &#8211; 100 ), where ( Y ) is the dependent variable, and ( x ) is the independent variable.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The value of ( Y ) depends on the value of ( x ). The equation represents a straight line, where for every unit increase in ( x ), the value of ( Y ) increases by 3 times the value of that increase, then 100 is subtracted.<\/li>\n\n\n\n<li>When we are asked to find the value of ( Y ) for a given value of ( x ), we simply substitute the given value of ( x ) into the equation and perform the arithmetic operations.<\/li>\n<\/ul>\n\n\n\n<p>In this case, we are given that ( x = 50 ). By substituting this value into the equation, we first multiply 50 by 3, which gives 150. Then, we subtract 100 from 150, resulting in 50. Therefore, the value of ( Y ) when ( x = 50 ) is ( 50 ).<\/p>\n\n\n\n<p>This shows the fundamental process of solving a linear equation: substitute known values for the variables, perform the operations, and simplify the result to find the unknown variable.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>IF Y=3x-100 and x=50 then the value of y is The correct answer and explanation is : To solve the equation ( Y = 3x &#8211; 100 ) for ( x = 50 ), we will substitute the value of ( x ) into the equation and calculate the value of ( Y ). Step [&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-202674","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/202674","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=202674"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/202674\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=202674"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=202674"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=202674"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}