To find the point that satisfies both equations, we need to solve the system of equations:<\/p>\n\n\n\n
- \n
- y=3x\u22122y = 3x – 2y=3x\u22122<\/li>\n\n\n\n
- y=\u22122x+3y = -2x + 3y=\u22122x+3<\/li>\n<\/ol>\n\n\n\n
Step 1: Set the equations equal to each other<\/h3>\n\n\n\n
Since both equations are equal to yyy, we can set the right-hand sides equal to each other:3x\u22122=\u22122x+33x – 2 = -2x + 33x\u22122=\u22122x+3<\/p>\n\n\n\n
Step 2: Solve for xxx<\/h3>\n\n\n\n
First, add 2x2x2x to both sides to move all terms with xxx to one side:3x+2x\u22122=33x + 2x – 2 = 33x+2x\u22122=3<\/p>\n\n\n\n
Simplify:5x\u22122=35x – 2 = 35x\u22122=3<\/p>\n\n\n\n
Next, add 2 to both sides to isolate the term with xxx:5x=55x = 55x=5<\/p>\n\n\n\n
Now, divide both sides by 5:x=1x = 1x=1<\/p>\n\n\n\n
Step 3: Solve for yyy<\/h3>\n\n\n\n
Now that we have x=1x = 1x=1, substitute this value into either of the original equations. Let’s use the first equation:y=3x\u22122y = 3x – 2y=3x\u22122<\/p>\n\n\n\n
Substitute x=1x = 1x=1:y=3(1)\u22122=3\u22122=1y = 3(1) – 2 = 3 – 2 = 1y=3(1)\u22122=3\u22122=1<\/p>\n\n\n\n
So, the point that satisfies both equations is (1,1)(1, 1)(1,1).<\/p>\n\n\n\n
Conclusion:<\/h3>\n\n\n\n
The point (1,1)(1, 1)(1,1) is the solution to the system of equations. Therefore, the correct answer is the point that corresponds to this value on the given options.<\/p>\n\n\n\n
![\"\"](\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/07\/learnexams-banner6-1696.jpeg\")
<\/figure>\n","protected":false},"excerpt":{"rendered":"Which point satisfies the system of equations y = 3x – 2 and y = -2x + 3? A. A B. B C. C D. D The Correct Answer and Explanation is: To find the point that satisfies both equations, we need to solve the system of equations: Step 1: Set the equations equal to […]<\/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-267561","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/267561","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=267561"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/267561\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=267561"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=267561"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=267561"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}