{"id":137557,"date":"2024-09-13T07:52:57","date_gmt":"2024-09-13T07:52:57","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=137557"},"modified":"2024-09-13T07:53:00","modified_gmt":"2024-09-13T07:53:00","slug":"x-y-zrw","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/09\/13\/x-y-zrw\/","title":{"rendered":"(x\/y)-z=rw"},"content":{"rendered":"\n<p>(x\/y)-z=rw<\/p>\n\n\n\n<p>Solve for x in the equation above.<\/p>\n\n\n\n<p>A.<br>X=y(z+rw)<\/p>\n\n\n\n<p>B.<br>X=rw(y-z)<\/p>\n\n\n\n<p>C.<br>X=rwy+z<\/p>\n\n\n\n<p>D.<br>X=rwy-z<\/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 for ( x ) in the equation ( \\frac{x}{y} &#8211; z = rw ), let&#8217;s break it down step by step.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Start with the original equation<\/h3>\n\n\n\n<p>[<br>\\frac{x}{y} &#8211; z = rw<br>]<br>We want to isolate ( x ) on one side of the equation. To do this, we first eliminate ( z ) by adding ( z ) to both sides of the equation:<\/p>\n\n\n\n<p>[<br>\\frac{x}{y} = rw + z<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Multiply both sides by ( y )<\/h3>\n\n\n\n<p>Next, multiply both sides of the equation by ( y ) to eliminate the denominator on the left-hand side:<\/p>\n\n\n\n<p>[<br>x = y(rw + z)<br>]<\/p>\n\n\n\n<p>This equation gives us the solution for ( x ).<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Final Solution:<\/h3>\n\n\n\n<p>[<br>x = y(rw + z)<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Answer:<\/h3>\n\n\n\n<p>The correct answer is <strong>A. ( x = y(z + rw) )<\/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>The equation given is a combination of terms with fractions and variables. The goal is to isolate ( x ).<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Isolate ( x ):<\/strong><br>By adding ( z ) to both sides, you move ( z ) away from the fraction ( \\frac{x}{y} ), allowing you to focus on the term that contains ( x ). The equation becomes simpler and starts resembling a basic linear equation.<\/li>\n\n\n\n<li><strong>Eliminate the denominator:<\/strong><br>By multiplying the entire equation by ( y ), you remove the fraction and now have a simpler equation in which ( x ) is isolated on one side.<\/li>\n\n\n\n<li><strong>Simplification:<\/strong><br>After multiplying by ( y ), you&#8217;re left with ( x ) in terms of the other variables, which matches answer choice <strong>A<\/strong>.<\/li>\n<\/ol>\n\n\n\n<p>This technique is widely used in algebra when working with fractions and helps ensure that the variable of interest is isolated in the final equation.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>(x\/y)-z=rw Solve for x in the equation above. A.X=y(z+rw) B.X=rw(y-z) C.X=rwy+z D.X=rwy-z The correct answer and Explanation is : To solve for ( x ) in the equation ( \\frac{x}{y} &#8211; z = rw ), let&#8217;s break it down step by step. Step 1: Start with the original equation [\\frac{x}{y} &#8211; z = rw]We want [&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-137557","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/137557","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=137557"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/137557\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=137557"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=137557"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=137557"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}