{"id":73752,"date":"2021-02-08T13:17:50","date_gmt":"2021-02-08T07:47:50","guid":{"rendered":"https:\/\/www.kopykitab.com\/blog\/?p=73752"},"modified":"2021-02-08T13:17:50","modified_gmt":"2021-02-08T07:47:50","slug":"rd-sharma-chapter-13-class-9-maths-exercise-13-3-solutions","status":"publish","type":"post","link":"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-13-class-9-maths-exercise-13-3-solutions\/","title":{"rendered":"RD Sharma Chapter 13 Class 9 Maths Exercise 13.3 Solutions"},"content":{"rendered":"\n<p>RD Sharma Chapter 13 Class 9 Maths Exercise 13.3 Solutions is about the Graphing of Linear Equations, which includes the topics like- Every point on a line will be a solution to an equation, Every solution of an equation will be a point on the line. In this exercise, learners have to deal with the graph of linear equations in two variables. We need to find the linear equation in the form ax + by + c = 0. Express \u2018y\u2019 in terms of \u2018x.\u2019 Provided any values of \u2018x\u2019 and determine the similar values of \u2018y\u2019. Plot the spots on the graph and sketch a line passing through points marked. The line so concerned is the graph of the provided equation.<\/p>\n<p>Students start practicing with the RD Sharma Chapter 13 Class 9 Maths Exercise 13.3 Solutions PDF attached with the article to score well in the exam. The questions of the PDF are prepared by our experts with the help of the Previous Year\u2019s Question Paper, CBSE Text Book, and RD Sharma of Class 9.<\/p>\n<p><a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-9-maths-chapter-13-linear-equations-in-two-variables\/\" target=\"_blank\" rel=\"noopener noreferrer\"><strong>Learn about RD Sharma Chapter 13 (Linear Equations In Two Variables) Class 9<\/strong><\/a><\/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-69d2ac47b0009\" 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-69d2ac47b0009\"><\/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\/rd-sharma-chapter-13-class-9-maths-exercise-13-3-solutions\/#download-rd-sharma-chapter-13-class-9-maths-exercise-133-solutions-pdf\" title=\"Download RD Sharma Chapter 13 Class 9 Maths Exercise 13.3 Solutions PDF\">Download RD Sharma Chapter 13 Class 9 Maths Exercise 13.3 Solutions PDF<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-13-class-9-maths-exercise-13-3-solutions\/#important-definitions-rd-sharma-chapter-13-class-9-maths-exercise-133-solutions\" title=\"Important Definitions RD Sharma Chapter 13 Class 9 Maths Exercise 13.3 Solutions\">Important Definitions RD Sharma Chapter 13 Class 9 Maths Exercise 13.3 Solutions<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-13-class-9-maths-exercise-13-3-solutions\/#graphing-of-linear-equations-keypoints\" title=\"Graphing of Linear Equations keypoints\">Graphing of Linear Equations keypoints<\/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\/rd-sharma-chapter-13-class-9-maths-exercise-13-3-solutions\/#example-of-rd-sharma-chapter-13-class-9-maths-exercise-133-solutions\" title=\"Example of RD Sharma Chapter 13 Class 9 Maths Exercise 13.3 Solutions\">Example of RD Sharma Chapter 13 Class 9 Maths Exercise 13.3 Solutions<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"download-rd-sharma-chapter-13-class-9-maths-exercise-133-solutions-pdf\"><\/span>Download RD Sharma Chapter 13 Class 9 Maths Exercise 13.3 Solutions PDF<span class=\"ez-toc-section-end\"><\/span><\/h2>\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\/2021\/02\/Solutions-for-Class-9-Maths-Chapter-13-Linear-Equations-in-Two-Variables-Exercise-13.3.pdf\", \"#example1\");<\/script><\/p>\n<p><a href=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/02\/Solutions-for-Class-9-Maths-Chapter-13-Linear-Equations-in-Two-Variables-Exercise-13.3.pdf\">Solutions for Class 9 Maths Chapter 13 Linear Equations in Two Variables Exercise 13.3<\/a><\/p>\n<h2><span class=\"ez-toc-section\" id=\"important-definitions-rd-sharma-chapter-13-class-9-maths-exercise-133-solutions\"><\/span>Important Definitions RD Sharma Chapter 13 Class 9 Maths Exercise 13.3 Solutions<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h3><span class=\"ez-toc-section\" id=\"graphing-of-linear-equations-keypoints\"><\/span>Graphing of Linear Equations keypoints<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>It can be resolved that, for a linear equation in two variables-<\/p>\n<p>Every point on a line will be a solution to the equation.<\/p>\n<p>Every solution of an equation will be a point on the line.<\/p>\n<p>Therefore, every linear equation in two variables must be interpreted geometrically as a straight line in a correspondent plane. Points on a line are the solution of an equation. That\u2019s why the equations with degree one are known as a linear equation. This representation of the linear equation is called as graphing of the linear equations in two variables.<\/p>\n<p>Considering a solution of linear equation in two variables is the pair of numbers (x and y), we can draw the solutions in a coordinate plane.<\/p>\n<p>Suppose the equation-<\/p>\n<p>2x + y = 6 \u2014(1)<\/p>\n<p>Some solutions of the equation are, (0,6), (3,0), (1,4), (2,2) because, they satisfy (1).<\/p>\n<p>We can describe the solution of (1) using a table as displayed below-<\/p>\n<table>\n<tbody>\n<tr>\n<td>\n<p><strong>x<\/strong><\/p>\n<\/td>\n<td>\n<p>0<\/p>\n<\/td>\n<td>\n<p>3<\/p>\n<\/td>\n<td>\n<p>1<\/p>\n<\/td>\n<td>\n<p>2<\/p>\n<\/td>\n<td>\n<p>&#8230;<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td>\n<p><strong>y<\/strong><\/p>\n<\/td>\n<td>\n<p>6<\/p>\n<\/td>\n<td>\n<p>0<\/p>\n<\/td>\n<td>\n<p>4<\/p>\n<\/td>\n<td>\n<p>2<\/p>\n<\/td>\n<td>\n<p>&#8230;<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>Plot the above points (0, 6), (3, 0), (1, 4), (2, 2) in the coordinate plane.<\/p>\n<p>Take any two points and connect those to form a line. So, the line is PQ. It is noticed that all four points are lying on the corresponding line PQ.<\/p>\n<p><img class=\"alignnone wp-image-73757 size-full\" src=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/02\/13.3-1.png\" alt=\"RD Sharma Chapter 13 Class 9 Maths Exercise 13.3 Solutions\" width=\"750\" height=\"546\" \/>Suppose any other point on the line PQ, for example, take point (4,-2), which lies on PQ.<\/p>\n<p>Let us check whether this point completes the equation or not.<\/p>\n<p>= Replacing (4,-2) in (1) gives,<\/p>\n<p>= LHS = (2\u00d74) -2 = 6= RHS<\/p>\n<p>= Therefore, (4,-2) is the solution of (1).<\/p>\n<p>= So, if we get any point on the line PQ, it will satisfy (1).<\/p>\n<p>= It can be noted that,<\/p>\n<p>= All the points say, (p, q) on a line PQ provides a solution of 2x + y = 6.<\/p>\n<p>= All the solutions of 2x + y = 6 lie on the line PQ.<\/p>\n<p>= Points that are not the solution of 2x+y = 6 will not lie on the line PQ.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"example-of-rd-sharma-chapter-13-class-9-maths-exercise-133-solutions\"><\/span>Example of RD Sharma Chapter 13 Class 9 Maths Exercise 13.3 Solutions<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>Ques- A number is 27 more than a number get by reversing its digits. If its unit\u2019s and ten\u2019s digits are x and y, respectively, write the linear equation representing the statement.<\/strong><\/p>\n<p><strong>Solution-<\/strong><\/p>\n<p>The original number is 27 more than a number taken by converting its digits.<\/p>\n<p>= The given number is in the form of 10y + x.<\/p>\n<p>= The number given by converting the digits of the number is 10x + y.<\/p>\n<p>Based on the statement-<\/p>\n<p>= 10y + x = 10x + y + 27<\/p>\n<p>= 10y \u2013 y + x \u2013 10x = 27<\/p>\n<p>= 9y \u2013 9x = 27<\/p>\n<p>= 9 (y \u2013 x) = 27<\/p>\n<p>= y \u2013 x = 3<\/p>\n<p>= x \u2013 y + 3 = 0<\/p>\n<p>The above equation represents the needed linear equation.<\/p>\n<p><a href=\"https:\/\/www.cbse.gov.in\/\" target=\"_blank\" rel=\"noopener noreferrer\"><strong>Know about CBSE Board<\/strong><\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>RD Sharma Chapter 13 Class 9 Maths Exercise 13.3 Solutions is about the Graphing of Linear Equations, which includes the topics like- Every point on a line will be a solution to an equation, Every solution of an equation will be a point on the line. In this exercise, learners have to deal with the &#8230; <a title=\"RD Sharma Chapter 13 Class 9 Maths Exercise 13.3 Solutions\" class=\"read-more\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-13-class-9-maths-exercise-13-3-solutions\/\" aria-label=\"More on RD Sharma Chapter 13 Class 9 Maths Exercise 13.3 Solutions\">Read more<\/a><\/p>\n","protected":false},"author":241,"featured_media":73755,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"","fifu_image_alt":""},"categories":[2985,2917,73719,73411,73410],"tags":[3081,3086,3085],"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/73752"}],"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\/241"}],"replies":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/comments?post=73752"}],"version-history":[{"count":4,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/73752\/revisions"}],"predecessor-version":[{"id":73940,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/73752\/revisions\/73940"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media\/73755"}],"wp:attachment":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media?parent=73752"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/categories?post=73752"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/tags?post=73752"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}