To solve the equation \u22126y\u22123=3\u22126y-6y – 3 = 3 – 6y\u22126y\u22123=3\u22126y, follow these steps:<\/p>\n\n\n\n
Step 1: Simplify both sides<\/h3>\n\n\n\n
The equation is:\u22126y\u22123=3\u22126y-6y – 3 = 3 – 6y\u22126y\u22123=3\u22126y<\/p>\n\n\n\n
Let’s start by adding 6y6y6y to both sides of the equation to eliminate the \u22126y-6y\u22126y term on the right-hand side:\u22126y+6y\u22123=3\u22126y+6y-6y + 6y – 3 = 3 – 6y + 6y\u22126y+6y\u22123=3\u22126y+6y<\/p>\n\n\n\n
This simplifies to:\u22123=3-3 = 3\u22123=3<\/p>\n\n\n\n
Step 2: Analyze the result<\/h3>\n\n\n\n
The equation now reads \u22123=3-3 = 3\u22123=3, which is clearly false. Since we arrive at a contradiction (a statement that is never true), this means there are no solutions<\/strong> to the equation.<\/p>\n\n\n\n The equation \u22126y\u22123=3\u22126y-6y – 3 = 3 – 6y\u22126y\u22123=3\u22126y has no solution<\/strong> because we reached a contradiction. In general, if after simplifying an equation, we end up with an inconsistent statement like a=ba = ba=b where a\u2260ba \\neq ba\ue020=b, then the equation has no solution.<\/p>\n\n\n\n If we had ended up with something like 0=00 = 00=0 after simplifying, it would have been an identity<\/strong> (meaning infinitely many solutions). However, since we reached a contradiction, the equation has no solution<\/strong>.<\/p>\n\n\n\n Select the correct choices to complete the sentence. Solve the equation and state whether the equation has one solution, no solution, or is an identity. -6y – 3 = 3 – 6y The Correct Answer and Explanation is: To solve the equation \u22126y\u22123=3\u22126y-6y – 3 = 3 – 6y\u22126y\u22123=3\u22126y, follow these steps: Step 1: Simplify […]<\/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-257812","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/257812","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=257812"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/257812\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=257812"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=257812"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=257812"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}Step 3: Conclusion<\/h3>\n\n\n\n
![\"\"](\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/07\/learnexams-banner6-832.jpeg\")
<\/figure>\n","protected":false},"excerpt":{"rendered":"