{"id":27718,"date":"2025-06-20T06:08:30","date_gmt":"2025-06-20T06:08:30","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=27718"},"modified":"2025-06-20T06:08:32","modified_gmt":"2025-06-20T06:08:32","slug":"solve-x-5y-6-for-x","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/solve-x-5y-6-for-x\/","title":{"rendered":"Solve x &#8211; 5y = 6 for x."},"content":{"rendered":"\n<p>Solve x &#8211; 5y = 6 for x.<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-light-green-cyan-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Correct Answer:<\/h3>\n\n\n\n<p>To solve the equationx\u22125y=6x &#8211; 5y = 6 x\u22125y=6<\/p>\n\n\n\n<p>for <strong>x<\/strong>, we need to isolate <strong>x<\/strong> on one side of the equation.<\/p>\n\n\n\n<p>Start by adding <strong>5y<\/strong> to both sides:x=6+5yx = 6 + 5y x=6+5y<\/p>\n\n\n\n<p>This is the required solution. The equation solved for <strong>x<\/strong> is:x=6+5yx = 6 + 5y x=6+5y<\/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 equation is a linear equation in two variables: <strong>x<\/strong> and <strong>y<\/strong>. When asked to solve for <strong>x<\/strong>, the goal is to express <strong>x<\/strong> in terms of <strong>y<\/strong>. This involves isolating <strong>x<\/strong> on one side of the equation so that it stands alone.<\/p>\n\n\n\n<p>The original equation is:x\u22125y=6x &#8211; 5y = 6x\u22125y=6<\/p>\n\n\n\n<p>In this form, <strong>x<\/strong> is being subtracted by <strong>5y<\/strong>. To undo this subtraction, we do the opposite \u2014 we add <strong>5y<\/strong> to both sides of the equation. This keeps the equation balanced, meaning both sides remain equal. When we perform the operation, it looks like this:x\u22125y+5y=6+5yx &#8211; 5y + 5y = 6 + 5yx\u22125y+5y=6+5y<\/p>\n\n\n\n<p>On the left side, <strong>-5y + 5y<\/strong> cancels out, leaving only <strong>x<\/strong>. The right side becomes <strong>6 + 5y<\/strong>. The result is:x=6+5yx = 6 + 5yx=6+5y<\/p>\n\n\n\n<p>This new equation expresses <strong>x<\/strong> entirely in terms of <strong>y<\/strong>, which means we have successfully solved the equation for <strong>x<\/strong>.<\/p>\n\n\n\n<p>This result can be helpful in algebra when graphing or substituting into another equation. For example, if you are given a value of <strong>y<\/strong>, you can quickly find <strong>x<\/strong> using this new equation. If <strong>y = 2<\/strong>, then:x=6+5(2)=6+10=16x = 6 + 5(2) = 6 + 10 = 16x=6+5(2)=6+10=16<\/p>\n\n\n\n<p>This shows how solving for one variable gives a formula that makes further calculations much easier.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"852\" height=\"1024\" src=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-172.jpeg\" alt=\"\" class=\"wp-image-27719\" srcset=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-172.jpeg 852w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-172-250x300.jpeg 250w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-172-768x923.jpeg 768w\" sizes=\"auto, (max-width: 852px) 100vw, 852px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Solve x &#8211; 5y = 6 for x. The Correct Answer and Explanation is: Correct Answer: To solve the equationx\u22125y=6x &#8211; 5y = 6 x\u22125y=6 for x, we need to isolate x on one side of the equation. Start by adding 5y to both sides:x=6+5yx = 6 + 5y x=6+5y This is the required solution. [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-27718","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/27718","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/comments?post=27718"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/27718\/revisions"}],"predecessor-version":[{"id":27720,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/27718\/revisions\/27720"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=27718"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=27718"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=27718"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}