To solve for aaa and bbb, we need to substitute the given points into the equation and solve for the unknowns.<\/p>\n\n\n\n
The equation given is: 3x=7y\u2212213x = 7y – 213x=7y\u221221<\/p>\n\n\n\n
Step 1: Substituting the point (0, a)<\/h3>\n\n\n\n
Substitute x=0x = 0x=0 and y=ay = ay=a into the equation: 3(0)=7(a)\u2212213(0) = 7(a) – 213(0)=7(a)\u221221<\/p>\n\n\n\n
This simplifies to: 0=7a\u2212210 = 7a – 210=7a\u221221<\/p>\n\n\n\n
Now, solve for aaa: 7a=21\u21d2a=217=37a = 21 \\quad \\Rightarrow \\quad a = \\frac{21}{7} = 37a=21\u21d2a=721\u200b=3<\/p>\n\n\n\n
So, a=3a = 3a=3.<\/p>\n\n\n\n
Step 2: Substituting the point (b, 0)<\/h3>\n\n\n\n
Next, substitute x=bx = bx=b and y=0y = 0y=0 into the equation: 3(b)=7(0)\u2212213(b) = 7(0) – 213(b)=7(0)\u221221<\/p>\n\n\n\n
This simplifies to: 3b=\u2212213b = -213b=\u221221<\/p>\n\n\n\n
Now, solve for bbb: b=\u2212213=\u22127b = \\frac{-21}{3} = -7b=3\u221221\u200b=\u22127<\/p>\n\n\n\n
So, b=\u22127b = -7b=\u22127.<\/p>\n\n\n\n
Conclusion:<\/h3>\n\n\n\n
The values of aaa and bbb are:<\/p>\n\n\n\n
- \n
- a=3a = 3a=3<\/li>\n\n\n\n
- b=\u22127b = -7b=\u22127<\/li>\n<\/ul>\n\n\n\n
Thus, the solutions to the equation are a=3a = 3a=3 and b=\u22127b = -7b=\u22127.<\/p>\n\n\n\n
![\"\"](\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/07\/learnexams-banner6-388.jpeg\")
<\/figure>\n","protected":false},"excerpt":{"rendered":"If (0, a) and (b, 0) are the solutions of the linear equation 3x = 7y – 21. Find a and b. The Correct Answer and Explanation is: To solve for aaa and bbb, we need to substitute the given points into the equation and solve for the unknowns. The equation given is: 3x=7y\u2212213x = […]<\/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-254416","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/254416","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=254416"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/254416\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=254416"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=254416"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=254416"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}