Yes, the equation 0x+6y=30x + 6y = 30x+6y=3 is a linear equation in two variables.<\/p>\n\n\n\n
A linear equation in two variables generally follows the form:Ax+By=CAx + By = CAx+By=C<\/p>\n\n\n\n
where AAA, BBB, and CCC are constants, and xxx and yyy are the variables. In this case, the equation can be rewritten as:0x+6y=30x + 6y = 30x+6y=3<\/p>\n\n\n\n
Here, A=0A = 0A=0, B=6B = 6B=6, and C=3C = 3C=3. The term involving xxx is absent (which is why it\u2019s 0x0x0x). This does not affect the linearity of the equation because the definition of a linear equation in two variables only requires that the variables xxx and yyy appear to the first power, and the coefficients of the variables are constants.<\/p>\n\n\n\n
To verify whether this equation is linear, we can rewrite it as:6y=36y = 36y=3<\/p>\n\n\n\n
By dividing both sides by 6, we get:y=12y = \\frac{1}{2}y=21\u200b<\/p>\n\n\n\n
This is an equation where yyy is equal to a constant (12\\frac{1}{2}21\u200b). This describes a horizontal line at y=12y = \\frac{1}{2}y=21\u200b in the xyxyxy-plane. Since a horizontal line is indeed a straight line, this equation represents a linear relationship.<\/p>\n\n\n\n
Thus, even though the xxx-variable doesn’t explicitly appear, the equation remains linear because the degree of the variables is 1 and the equation represents a straight line in the coordinate plane. Therefore, 0x+6y=30x + 6y = 30x+6y=3 is a valid linear equation in two variables.<\/p>\n\n\n\n Is 0x + 6y = 3 is linear equation in two variables? The Correct Answer and Explanation is: Yes, the equation 0x+6y=30x + 6y = 30x+6y=3 is a linear equation in two variables. A linear equation in two variables generally follows the form:Ax+By=CAx + By = CAx+By=C where AAA, BBB, and CCC are constants, and […]<\/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-257728","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/257728","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=257728"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/257728\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=257728"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=257728"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=257728"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}![\"\"](\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/07\/learnexams-banner6-826.jpeg\")
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