{"id":5953,"date":"2019-12-17T23:55:40","date_gmt":"2019-12-17T18:25:40","guid":{"rendered":"https:\/\/physicscatalyst.com\/article\/?p=5953"},"modified":"2022-11-04T12:06:29","modified_gmt":"2022-11-04T06:36:29","slug":"linear-equation-formulas","status":"publish","type":"post","link":"https:\/\/physicscatalyst.com\/article\/linear-equation-formulas\/","title":{"rendered":"Linear Equation Formula"},"content":{"rendered":"\n<p>Linear equation are important topic in maths. Lets check out Linear Equation Formula which consist for formula for one variable linear equation, two variable linear equation and three variable linear equation<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Algebraic Equation<\/h2>\n\n\n\n<p> An algebraic equation is an equality involving variables. It says that the value of the expression on one side of the equality sign is equal to the value of the expression on the other side <\/p>\n\n\n\n<h2 class=\"wp-block-heading\">What is Linear equation in one Variable<\/h2>\n\n\n\n<p>We will restrict the\nabove equation with two conditions<\/p>\n\n\n\n<p>(a) algebraic equation in one variable<br>(b) variable will have power 1 only <\/p>\n\n\n\n<p>or<\/p>\n\n\n\n<p>An equation of the form ax + b = 0, where a and b are real numbers, such that a is not equal to zero, is called a linear equation in one variables<\/p>\n\n\n\n<p>Linear equation in One variable has only one Solution. It can be solved as given below<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"636\" height=\"460\" src=\"https:\/\/physicscatalyst.com\/article\/wp-content\/uploads\/2019\/12\/linear-equation-formula-one-variable.png\" alt=\"Linear Equation Formulas\" class=\"wp-image-5954\" srcset=\"https:\/\/physicscatalyst.com\/article\/wp-content\/uploads\/2019\/12\/linear-equation-formula-one-variable.png 636w, https:\/\/physicscatalyst.com\/article\/wp-content\/uploads\/2019\/12\/linear-equation-formula-one-variable-300x217.png 300w\" sizes=\"auto, (max-width: 636px) 100vw, 636px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\">What is Linear equation in two Variable<\/h2>\n\n\n\n<p> $ax+by+c=0 $, $a \\neq 0$   and   $b \\neq 0$    <\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>a, b and c are real number <\/li><li> Infinite solution possible <\/li><li> Linear equation in two variables is represented by straight line the Cartesian plane.<\/li><li>Every point on the line is the solution of the equation. <\/li><li> For $ax+by+c=0 \\; , \\; a \\neq 0 \\; and \\; b \\neq 0$.  The point on Y-axis is given  $(0,\\frac{-c}{b})$ . The point on X-axis is given by  $(\\frac {-c}{a}, 0)$ <\/li><\/ul>\n\n\n\n<h2 class=\"wp-block-heading\"><em>Simultaneous pair of Linear equation<\/em><\/h2>\n\n\n\n<p>A pair of Linear equation in two variables<br>$a_1 x + b_1 y + c_1=0$<br> $a_2 x + b_2 y + c_2=0$ <br>Graphically it is represented by two straight lines on Cartesian plane <\/p>\n\n\n\n<p>Here is the Graphical Representation <\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"590\" height=\"499\" src=\"https:\/\/physicscatalyst.com\/article\/wp-content\/uploads\/2019\/12\/graphical-representation-simultaneous-pair-of-Linear-equation.png\" alt=\"Linear Equation Formula\" class=\"wp-image-5955\" srcset=\"https:\/\/physicscatalyst.com\/article\/wp-content\/uploads\/2019\/12\/graphical-representation-simultaneous-pair-of-Linear-equation.png 590w, https:\/\/physicscatalyst.com\/article\/wp-content\/uploads\/2019\/12\/graphical-representation-simultaneous-pair-of-Linear-equation-300x254.png 300w\" sizes=\"auto, (max-width: 590px) 100vw, 590px\" \/><\/figure>\n\n\n\n<p><em>Algebraic Solution of system of Linear equation<\/em><\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"608\" height=\"431\" src=\"https:\/\/physicscatalyst.com\/article\/wp-content\/uploads\/2019\/12\/algebraic-method-simultaneous-pair-of-Linear-equation.png\" alt=\"\" class=\"wp-image-5956\" srcset=\"https:\/\/physicscatalyst.com\/article\/wp-content\/uploads\/2019\/12\/algebraic-method-simultaneous-pair-of-Linear-equation.png 608w, https:\/\/physicscatalyst.com\/article\/wp-content\/uploads\/2019\/12\/algebraic-method-simultaneous-pair-of-Linear-equation-300x213.png 300w\" sizes=\"auto, (max-width: 608px) 100vw, 608px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\">What is Linear equation in three Variable<\/h2>\n\n\n\n<p> $ax+by+cz +d=0 $, $a \\neq 0$  , $b \\neq 0$ and       $c \\neq 0$ <\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>a, b and c are real number <\/li><li> Infinite solution possible <\/li><li> Linear equation in three variables is represented by straight line the three-dimensional Cartesian plane.<\/li><li>Every point on the line is the solution of the equation. <\/li><\/ul>\n\n\n\n<p><strong>Also Reads<\/strong><br><a href=\"https:\/\/physicscatalyst.com\/article\/bodmas-rule\/\">BODMAS Rule<\/a><br><a href=\"https:\/\/physicscatalyst.com\/article\/algebraic-identities\/\">Algebraic Identities<\/a><br><a href=\"https:\/\/physicscatalyst.com\/class8\/linear-equation-one-variable.php\">Linear equation in One Variable Notes for Class 8<\/a><br><a href=\"https:\/\/physicscatalyst.com\/Class10\/pair-of-linear-equations-in-two-variable.php\">Pair of Linear equations in two Variable Class10 Notes<\/a><\/p>\n\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Linear equation are important topic in maths. Lets check out Linear Equation Formula which consist for formula for one variable linear equation, two variable linear equation and three variable linear equation Algebraic Equation An algebraic equation is an equality involving variables. It says that the value of the expression on one side of the equality [&hellip;]<\/p>\n","protected":false},"author":8,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_uag_custom_page_level_css":"","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":"","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":[498],"tags":[],"class_list":["post-5953","post","type-post","status-publish","format-standard","hentry","category-maths"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.4 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Important and Useful Linear Equation Formula - physicscatalyst&#039;s Blog<\/title>\n<meta name=\"description\" content=\"Check out Linear equation formula for one variable, two variable and three variable linear equation, how to solve them with easy steps\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/physicscatalyst.com\/article\/linear-equation-formulas\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Important and Useful Linear Equation Formula - physicscatalyst&#039;s Blog\" \/>\n<meta property=\"og:description\" content=\"Check out Linear equation formula for one variable, two variable and three variable linear equation, how to solve them with easy steps\" \/>\n<meta property=\"og:url\" content=\"https:\/\/physicscatalyst.com\/article\/linear-equation-formulas\/\" \/>\n<meta property=\"og:site_name\" content=\"physicscatalyst&#039;s Blog\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/PhysicsCatalyst\" \/>\n<meta property=\"article:author\" content=\"https:\/\/www.facebook.com\/PhysicsCatalyst\" \/>\n<meta property=\"article:published_time\" content=\"2019-12-17T18:25:40+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2022-11-04T06:36:29+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/physicscatalyst.com\/article\/wp-content\/uploads\/2019\/12\/linear-equation-formula-one-variable.png\" \/>\n<meta name=\"author\" content=\"physicscatalyst\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"physicscatalyst\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"2 minutes\" \/>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Important and Useful Linear Equation Formula - physicscatalyst&#039;s Blog","description":"Check out Linear equation formula for one variable, two variable and three variable linear equation, how to solve them with easy steps","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/physicscatalyst.com\/article\/linear-equation-formulas\/","og_locale":"en_US","og_type":"article","og_title":"Important and Useful Linear Equation Formula - physicscatalyst&#039;s Blog","og_description":"Check out Linear equation formula for one variable, two variable and three variable linear equation, how to solve them with easy steps","og_url":"https:\/\/physicscatalyst.com\/article\/linear-equation-formulas\/","og_site_name":"physicscatalyst&#039;s Blog","article_publisher":"https:\/\/www.facebook.com\/PhysicsCatalyst","article_author":"https:\/\/www.facebook.com\/PhysicsCatalyst","article_published_time":"2019-12-17T18:25:40+00:00","article_modified_time":"2022-11-04T06:36:29+00:00","og_image":[{"url":"https:\/\/physicscatalyst.com\/article\/wp-content\/uploads\/2019\/12\/linear-equation-formula-one-variable.png","type":"","width":"","height":""}],"author":"physicscatalyst","twitter_misc":{"Written by":"physicscatalyst","Est. reading time":"2 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/physicscatalyst.com\/article\/linear-equation-formulas\/#article","isPartOf":{"@id":"https:\/\/physicscatalyst.com\/article\/linear-equation-formulas\/"},"author":{"name":"physicscatalyst","@id":"https:\/\/physicscatalyst.com\/article\/#\/schema\/person\/9b302efdc9b32e459cb1e61ab7506d3f"},"headline":"Linear Equation Formula","datePublished":"2019-12-17T18:25:40+00:00","dateModified":"2022-11-04T06:36:29+00:00","mainEntityOfPage":{"@id":"https:\/\/physicscatalyst.com\/article\/linear-equation-formulas\/"},"wordCount":345,"commentCount":0,"publisher":{"@id":"https:\/\/physicscatalyst.com\/article\/#organization"},"image":{"@id":"https:\/\/physicscatalyst.com\/article\/linear-equation-formulas\/#primaryimage"},"thumbnailUrl":"https:\/\/physicscatalyst.com\/article\/wp-content\/uploads\/2019\/12\/linear-equation-formula-one-variable.png","articleSection":["Maths"],"inLanguage":"en-US","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["https:\/\/physicscatalyst.com\/article\/linear-equation-formulas\/#respond"]}]},{"@type":"WebPage","@id":"https:\/\/physicscatalyst.com\/article\/linear-equation-formulas\/","url":"https:\/\/physicscatalyst.com\/article\/linear-equation-formulas\/","name":"Important and Useful Linear Equation Formula - physicscatalyst&#039;s Blog","isPartOf":{"@id":"https:\/\/physicscatalyst.com\/article\/#website"},"primaryImageOfPage":{"@id":"https:\/\/physicscatalyst.com\/article\/linear-equation-formulas\/#primaryimage"},"image":{"@id":"https:\/\/physicscatalyst.com\/article\/linear-equation-formulas\/#primaryimage"},"thumbnailUrl":"https:\/\/physicscatalyst.com\/article\/wp-content\/uploads\/2019\/12\/linear-equation-formula-one-variable.png","datePublished":"2019-12-17T18:25:40+00:00","dateModified":"2022-11-04T06:36:29+00:00","description":"Check out Linear equation formula for one variable, two variable and three variable linear equation, how to solve them with easy steps","breadcrumb":{"@id":"https:\/\/physicscatalyst.com\/article\/linear-equation-formulas\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/physicscatalyst.com\/article\/linear-equation-formulas\/"]}]},{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/physicscatalyst.com\/article\/linear-equation-formulas\/#primaryimage","url":"https:\/\/physicscatalyst.com\/article\/wp-content\/uploads\/2019\/12\/linear-equation-formula-one-variable.png","contentUrl":"https:\/\/physicscatalyst.com\/article\/wp-content\/uploads\/2019\/12\/linear-equation-formula-one-variable.png","width":636,"height":460},{"@type":"BreadcrumbList","@id":"https:\/\/physicscatalyst.com\/article\/linear-equation-formulas\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/physicscatalyst.com\/article\/"},{"@type":"ListItem","position":2,"name":"Maths","item":"https:\/\/physicscatalyst.com\/article\/maths\/"},{"@type":"ListItem","position":3,"name":"Linear Equation Formula"}]},{"@type":"WebSite","@id":"https:\/\/physicscatalyst.com\/article\/#website","url":"https:\/\/physicscatalyst.com\/article\/","name":"physicscatalyst's Blog","description":"Learn free for class 9th, 10th science\/maths , 12th and IIT-JEE Physics and maths.","publisher":{"@id":"https:\/\/physicscatalyst.com\/article\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/physicscatalyst.com\/article\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"en-US"},{"@type":"Organization","@id":"https:\/\/physicscatalyst.com\/article\/#organization","name":"physicscatalyst","url":"https:\/\/physicscatalyst.com\/article\/","logo":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/physicscatalyst.com\/article\/#\/schema\/logo\/image\/","url":"https:\/\/physicscatalyst.com\/article\/wp-content\/uploads\/2024\/08\/cropped-logo-1.jpg","contentUrl":"https:\/\/physicscatalyst.com\/article\/wp-content\/uploads\/2024\/08\/cropped-logo-1.jpg","width":96,"height":96,"caption":"physicscatalyst"},"image":{"@id":"https:\/\/physicscatalyst.com\/article\/#\/schema\/logo\/image\/"},"sameAs":["https:\/\/www.facebook.com\/PhysicsCatalyst","https:\/\/x.com\/physicscatalyst","https:\/\/www.youtube.com\/user\/thephysicscatalyst","https:\/\/www.instagram.com\/physicscatalyst\/"]},{"@type":"Person","@id":"https:\/\/physicscatalyst.com\/article\/#\/schema\/person\/9b302efdc9b32e459cb1e61ab7506d3f","name":"physicscatalyst","sameAs":["https:\/\/physicscatalyst.com","https:\/\/www.facebook.com\/PhysicsCatalyst","https:\/\/x.com\/physicscatalyst"]}]}},"uagb_featured_image_src":{"full":false,"thumbnail":false,"medium":false,"medium_large":false,"large":false,"1536x1536":false,"2048x2048":false,"shareaholic-thumbnail":false},"uagb_author_info":{"display_name":"physicscatalyst","author_link":"https:\/\/physicscatalyst.com\/article\/author\/physicscatalyst\/"},"uagb_comment_info":0,"uagb_excerpt":"Linear equation are important topic in maths. Lets check out Linear Equation Formula which consist for formula for one variable linear equation, two variable linear equation and three variable linear equation Algebraic Equation An algebraic equation is an equality involving variables. It says that the value of the expression on one side of the equality&hellip;","_links":{"self":[{"href":"https:\/\/physicscatalyst.com\/article\/wp-json\/wp\/v2\/posts\/5953","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/physicscatalyst.com\/article\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/physicscatalyst.com\/article\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/physicscatalyst.com\/article\/wp-json\/wp\/v2\/users\/8"}],"replies":[{"embeddable":true,"href":"https:\/\/physicscatalyst.com\/article\/wp-json\/wp\/v2\/comments?post=5953"}],"version-history":[{"count":1,"href":"https:\/\/physicscatalyst.com\/article\/wp-json\/wp\/v2\/posts\/5953\/revisions"}],"predecessor-version":[{"id":6338,"href":"https:\/\/physicscatalyst.com\/article\/wp-json\/wp\/v2\/posts\/5953\/revisions\/6338"}],"wp:attachment":[{"href":"https:\/\/physicscatalyst.com\/article\/wp-json\/wp\/v2\/media?parent=5953"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/physicscatalyst.com\/article\/wp-json\/wp\/v2\/categories?post=5953"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/physicscatalyst.com\/article\/wp-json\/wp\/v2\/tags?post=5953"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}