{"id":47197,"date":"2020-04-30T16:17:35","date_gmt":"2020-04-30T10:47:35","guid":{"rendered":"https:\/\/www.kopykitab.com\/blog\/?p=47197"},"modified":"2021-01-28T23:46:54","modified_gmt":"2021-01-28T18:16:54","slug":"ncert-solutions-for-class-10-maths-chapter-3-pair-of-linear-equations-in-two-variables","status":"publish","type":"post","link":"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-10-maths-chapter-3-pair-of-linear-equations-in-two-variables\/","title":{"rendered":"NCERT Solutions For Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables"},"content":{"rendered":"\n<p><img class=\"alignnone size-full wp-image-47160\" src=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2020\/02\/NCERT-Solutions-For-Class-10-Maths-Chapter-3-Pair-of-Linear-Equations-in-Two-Variables.png\" alt=\"NCERT Solutions For Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables\" width=\"1024\" height=\"512\" srcset=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2020\/02\/NCERT-Solutions-For-Class-10-Maths-Chapter-3-Pair-of-Linear-Equations-in-Two-Variables.png 1024w, https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2020\/02\/NCERT-Solutions-For-Class-10-Maths-Chapter-3-Pair-of-Linear-Equations-in-Two-Variables-300x150.png 300w, https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2020\/02\/NCERT-Solutions-For-Class-10-Maths-Chapter-3-Pair-of-Linear-Equations-in-Two-Variables-768x384.png 768w, https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2020\/02\/NCERT-Solutions-For-Class-10-Maths-Chapter-3-Pair-of-Linear-Equations-in-Two-Variables-30x15.png 30w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/p>\n<p>NCERT Solutions for Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables: Class 10 Maths Chapter 3 is one of the important chapter for the students. <span style=\"font-size: inherit;\">In this Chapter, you will find the concept of the equation. An equation that can be of the form ax + by + c = 0, where a, b and c are real numbers, and a and b are not both zero, is called a linear equation in two variables x and y.<\/span><\/p>\n<p>You will also learn the fact that a solution of such an equation is a pair of values, one for x and the other for y, which makes the two sides of the equation equal. You also learn that every solution of the equation is a point on the line representing it.<\/p>\n<p><span style=\"font-size: inherit;\">To clear the concept behind this chapter-wise excercises, we are providing 10th NCERT Maths Solutions for Chapter 3 Pair of Linear Equations in Two Variables.<\/span><\/p>\n<p>You can easily download the CBSE NCERT 10th Maths Solutions For Chapter 3 PDF and boost your exam preparation.<\/p>\n<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_47_1 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"ez-toc-toggle-icon-1\"><label for=\"item-69e10531f2fd6\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;direction:ltr;\"><svg style=\"fill: #000000;color:#000000\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #000000;color:#000000\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/label><input  type=\"checkbox\" id=\"item-69e10531f2fd6\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 eztoc-visibility-hide-by-default' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-10-maths-chapter-3-pair-of-linear-equations-in-two-variables\/#ncert-solutions-for-class-10-maths-chapter-3-pair-of-linear-equations-in-two-variables\" title=\"NCERT Solutions for Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables\">NCERT Solutions for Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-10-maths-chapter-3-pair-of-linear-equations-in-two-variables\/#what-will-you-learn-in-chapter-3\" title=\"What will you learn in Chapter 3?\">What will you learn in Chapter 3?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-10-maths-chapter-3-pair-of-linear-equations-in-two-variables\/#benefits-of-class-10-maths-chapter-3-solutions\" title=\"Benefits of Class 10 Maths Chapter 3 Solutions\u00a0\">Benefits of Class 10 Maths Chapter 3 Solutions\u00a0<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-10-maths-chapter-3-pair-of-linear-equations-in-two-variables\/#other-important-cbse-ncert-10th-maths-solutions\" title=\"Other Important CBSE NCERT 10th Maths Solutions\">Other Important CBSE NCERT 10th Maths Solutions<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"ncert-solutions-for-class-10-maths-chapter-3-pair-of-linear-equations-in-two-variables\"><\/span>NCERT Solutions for Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>NCERT experts have created the 10th Maths Chapter 3 Solutions by following CBSE guidelines. You can clear all the concept behind the chapter.<\/p>\n<p>You can download <a href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-10-maths\/\" target=\"_blank\" rel=\"noopener noreferrer\">CBSE NCERT Solutions for Class 10 Maths<\/a> Chapter 3 from below.<\/p>\n<div id=\"example1\" style=\"text-align: justify;\">\u00a0<\/div>\n<p style=\"text-align: justify;\"><style>\n.pdfobject-container { height: 500px;}<br \/>\n.pdfobject { border: 1px solid #666; }<br \/>\n<\/style><\/p>\n<p style=\"text-align: justify;\"><script src=\"https:\/\/www.kopykitab.com\/_utility\/js\/pdfobject.min.js\"><\/script><br \/><script>PDFObject.embed(\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2015\/05\/NCERT-Solutions-for-Class-10-Math-Chapter-3.pdf\", \"#example1\");<\/script><\/p>\n<p style=\"margin-top: 24px; text-align: center;\"><a style=\"display: inline-block; width: auto; padding: 18px; cursor: pointer; font-weight: bold; border-radius: 40px; text-decoration: none; color: #fff; background: #ff4500; -webkit-box-shadow: 0px 2px 6px 0px rgba(0, 0, 0, 0.25); -moz-box-shadow: 0px 2px 6px 0px rgba(0, 0, 0, 0.25); box-shadow: 0px 2px 6px 0px rgba(0, 0, 0, 0.25);\" href=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2015\/05\/NCERT-Solutions-for-Class-10-Math-Chapter-3.pdf\" target=\"_blank\" rel=\"noopener noreferrer\">Download NCERT Class 10 Maths Chapter 3 Solutions<\/a><\/p>\n<h3><span class=\"ez-toc-section\" id=\"what-will-you-learn-in-chapter-3\"><\/span>What will you learn in Chapter 3?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Here\u00a0you will know about the equations having two unknowns and its corresponding solution techniques to get the exact results.<\/p>\n<p>An equation which can be put in the form ax + by + c = 0, where a, b and c are real numbers, and a and b are not both zero, is called a linear equation in two variables x and y.<\/p>\n<p>You will also learn,<\/p>\n<ul>\n<li>Linear Equations in Two Variables<\/li>\n<li>Statements conversion into Equations, and\u00a0drawing graph\u00a0of those linear equations<\/li>\n<li>Possible Type of Graphs\u00a0for Pair of Linear Equations in Two Variables &#8211; Two Lines Intersecting, Two lines Parallel, Coincident Lines<\/li>\n<li>To find the solution of equations from graphs<\/li>\n<li>Consistency\u00a0of equations by finding the ratio of a<sub>1<\/sub>\/a<sub>2<\/sub>, b<sub>1<\/sub>\/b<sub>2<\/sub>, c<sub>1<\/sub>\/c<sub>2\u00a0<\/sub>and checking whether lines are\u00a0<br \/>\n<ul>\n<li>Intersecting Lines\u00a0(Exactly one solution &#8211; unique)<\/li>\n<li>Coincident Lines\u00a0(Infinitely many solutions)<\/li>\n<li>Parallel Lines (No solutions)<\/li>\n<\/ul>\n<\/li>\n<li>To solve Pair of Linear Equations by\n<ul>\n<li>Substitution\u00a0Method<\/li>\n<li>Elimination\u00a0Method<\/li>\n<li>Cross Multiplication\u00a0Method<\/li>\n<\/ul>\n<\/li>\n<li>To solve complicated equations\u00a0like 2\/x + 3\/y = 4\u00a0by substituting variables\u00a0(like putting p = 1\/x, q = 1\/y and solving)<\/li>\n<li>To solve Statement Questions\u00a0by first forming equations, and then solving<\/li>\n<\/ul>\n<p>The Solutions cover all the excercise from 10th Maths chapter 3 as given below:<\/p>\n<ul>\n<li>Ex 3.1 &#8211; 3 Questions with Solutions in PDF<\/li>\n<li>Ex 3.2 &#8211; 7 Questions with Solutions in PDF<\/li>\n<li>Ex 3.3 &#8211; 3 Questions with Solutions in PDF<\/li>\n<li>Ex 3.4 &#8211; 2 Questions with Solutions in PDF<\/li>\n<li>Ex 3.5 &#8211; 4 Questions with Solutions in PDF<\/li>\n<li>Ex 3.6 &#8211; 2 Questions with Solutions in PDF<\/li>\n<li>Ex 3.7 &#8211; 8 Questions with Solutions in PDF<\/li>\n<\/ul>\n<h3><span class=\"ez-toc-section\" id=\"benefits-of-class-10-maths-chapter-3-solutions\"><\/span>Benefits of Class 10 Maths Chapter 3 Solutions\u00a0<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>You will get tremendous benefits for <a href=\"http:\/\/cbse.nic.in\/\" target=\"_blank\" rel=\"noopener noreferrer\">CBSE<\/a>\u00a010th Maths Exam after solving questions from the solutions.<\/p>\n<ul>\n<li>It will help you to clear the concept on every small section of a topic.<\/li>\n<li>You will get step by step easy solutions so that you can build the solid command over the chapter.<\/li>\n<li>You can easily solve all the questions in the board exam from the chapter after solving multiple questions from the solutions.<\/li>\n<li>It will help you to prepare the Competitive Exams like NTSE and Olympiads<\/li>\n<\/ul>\n<h3><span class=\"ez-toc-section\" id=\"other-important-cbse-ncert-10th-maths-solutions\"><\/span><span id=\"other-important-study-materials-for-cbse-class-10-maths\" class=\"ez-toc-section\">Other Important CBSE NCERT 10th Maths Solutions<\/span><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>You should have solutions to boost your exam preparation for the Class 10 Maths exam.<\/p>\n<p>Click on the link to access other study materials related to 10th Maths.<\/p>\n<ul>\n<li><a href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-10-maths-chapter-1-real-numbers\/\" target=\"_blank\" rel=\"noopener noreferrer\">Chapter 1 Real Numbers<\/a><\/li>\n<li><a href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-10-maths-chapter-2-polynomials\/\" target=\"_blank\" rel=\"noopener noreferrer\">Chapter 2 Polynomials<\/a><\/li>\n<li>Chapter 3 Pair of Linear Equations in Two Variables<\/li>\n<li><a href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-10-maths-chapter-4-quadratic-equations\/\" target=\"_blank\" rel=\"noopener noreferrer\">Chapter 4 Quadratic Equations<\/a><\/li>\n<li><a href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-10-maths-chapter-5-arithmetic-progressions\/\" target=\"_blank\" rel=\"noopener noreferrer\">Chapter 5 Arithmetic Progressions<\/a><\/li>\n<li><a href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-10-maths-chapter-6-triangles\/\" target=\"_blank\" rel=\"noopener noreferrer\">Chapter 6 Triangles<\/a><\/li>\n<li><a href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-10-maths-chapter-7-coordinate-geometry\/\" target=\"_blank\" rel=\"noopener noreferrer\">Chapter 7 Coordinate Geometry<\/a><\/li>\n<li><a href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-10-maths-chapter-8-introduction-to-trigonometry\/\" target=\"_blank\" rel=\"noopener noreferrer\">Chapter 8 Introduction to Trigonometry<\/a><\/li>\n<li><a href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-10-maths-chapter-9-some-applications-of-trigonometry\/\" target=\"_blank\" rel=\"noopener noreferrer\">Chapter 9 Some Applications of Trigonometry<\/a><\/li>\n<li><a href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-10-maths-chapter-10-circles\/\" target=\"_blank\" rel=\"noopener noreferrer\">Chapter 10 Circles<\/a><\/li>\n<li><a href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-10-maths-chapter-11-constructions\/\" target=\"_blank\" rel=\"noopener noreferrer\">Chapter 11 Constructions<\/a><\/li>\n<li><a href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-10-maths-chapter-12-areas-related-to-circles\/\" target=\"_blank\" rel=\"noopener noreferrer\">Chapter 12 Areas Related to Circles<\/a><\/li>\n<li><a href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-10-maths-chapter-13-surface-areas-and-volumes\/\" target=\"_blank\" rel=\"noopener noreferrer\">Chapter 13 Surface Areas and Volumes<\/a><\/li>\n<li><a href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-10-maths-chapter-14-statistics\/\" target=\"_blank\" rel=\"noopener noreferrer\">Chapter 14 Statistics<\/a><\/li>\n<li><a href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-10-maths-chapter-15-probability\/\" target=\"_blank\" rel=\"noopener noreferrer\">Chapter 15 Probability<\/a><\/li>\n<\/ul>\n<p>We have covered the complete guide on CBSE NCERT 10th Maths Solutions for Chapter 3 Pair of Linear Equations in Two Variables.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>NCERT Solutions for Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables: Class 10 Maths Chapter 3 is one of the important chapter for the students. In this Chapter, you will find the concept of the equation. An equation that can be of the form ax + by + c = 0, &#8230; <a title=\"NCERT Solutions For Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables\" class=\"read-more\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-10-maths-chapter-3-pair-of-linear-equations-in-two-variables\/\" aria-label=\"More on NCERT Solutions For Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables\">Read more<\/a><\/p>\n","protected":false},"author":1,"featured_media":47160,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"","fifu_image_alt":""},"categories":[2917,73714,2934,73413,2985,73410],"tags":[3243,3353,3557],"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/47197"}],"collection":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/comments?post=47197"}],"version-history":[{"count":1,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/47197\/revisions"}],"predecessor-version":[{"id":72203,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/47197\/revisions\/72203"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media\/47160"}],"wp:attachment":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media?parent=47197"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/categories?post=47197"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/tags?post=47197"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}