{"id":26816,"date":"2021-06-28T12:37:33","date_gmt":"2021-06-28T07:07:33","guid":{"rendered":"https:\/\/mcq-questions.com\/?p=26816"},"modified":"2022-03-02T10:47:29","modified_gmt":"2022-03-02T05:17:29","slug":"ncert-solutions-for-class-8-maths-chapter-2-ex-2-3","status":"publish","type":"post","link":"https:\/\/mcq-questions.com\/ncert-solutions-for-class-8-maths-chapter-2-ex-2-3\/","title":{"rendered":"NCERT Solutions for Class 8 Maths Chapter 2 Linear Equations in One Variable Ex 2.3"},"content":{"rendered":"

These NCERT Solutions for Class 8 Maths<\/a> Chapter 2 Linear Equations in One Variable Ex 2.3 Questions and Answers are prepared by our highly skilled subject experts.<\/p>\n

NCERT Solutions for Class 8 Maths Chapter 2 Linear Equations in One Variable Exercise 2.3<\/h2>\n

Solve the following equations and check your results.<\/span><\/p>\n

Question 1.
\n3x = 2x + 18
\nSolution:
\n3x = 2x + 18
\nTransposing 2x from RHS to L.H.S, we get
\n3x – 2x = 18
\nx = 18<\/p>\n

Check:
\nPut x = 18 in L.H.S. and R.H.S. of the equation.
\nL.H.S. = 3x = 3 \u00d7 18 = 54
\nR.H.S. = 2x + 18 = 2(18) + 18 = 36 +18 = 54
\n\u2234 L.H.S. = R.H.S<\/p>\n

\"NCERT<\/p>\n

Question 2.
\n5t – 3 = 3t – 5
\nSolution:
\n5t – 3 = 3t – 5
\nTransposing (-3) to R.H.S. and 3t to L.H.S., we get
\n5t – 3t = -5 + 3
\n2t = -2
\nDividing both sides by 2, we get
\n\\(\\frac{2 t}{2}=\\frac{-2}{2}\\)
\nt = -1<\/p>\n

Check:
\nPut t = -1 in L.H.S. and RHS of the equation
\nL.H.S. = 5t – 3 = 5(-1) – 3 = -5 – 3 = -8
\nR.H.S. = 3t – 5 = 3(-1) – 5 = -3 – 5 = -8
\nHence, L.H.S. = R.H.S.<\/p>\n

Question 3.
\n5x + 9 = 5 + 3x
\nSolution:
\n5x + 9 = 5 + 3x
\nTransposing 9 to R.H.S. and 3x to L.H.S.
\n5x – 3x = 5 – 9
\n2x = -4
\nDividing both sides by 2, we get
\n\\(\\frac{2 x}{2}=\\frac{-4}{2}\\)
\nx = -2<\/p>\n

Check:
\nPut x = -2 in L.H.S. and R.H.S. of the equation
\nL.H.S. = 5x + 9
\n= 5 (-2) + 9
\n= -10 + 9
\n= -1
\nR.H.S. = 5 + 3x
\n= 5 + 3(-2)
\n= 5 – 6 = -1
\nHence, L.H.S. = R.H.S.<\/p>\n

\"NCERT<\/p>\n

Question 4.
\n4z + 3 = 6 + 2z
\nSolution:
\n4z + 3 = 6 + 2z
\nTransposing 3 to R.H.S. and 2z to LHS
\n4z – 2z = 6 – 3
\n2z = 3
\nDividing both sides by 2, we get
\n\\(\\frac{2 z}{2}=\\frac{3}{2}\\)
\nz = \\(\\frac{3}{2}\\)<\/p>\n

Check:
\nPut z = \\(\\frac{3}{2}\\) in L.H.S. and R.H.S of the equation
\nL.H.S. = 4z + 3
\n= 4\\(\\left(\\frac{3}{2}\\right)\\) + 3
\n= 2(3) + 3
\n= 6 + 3
\n= 9
\nR.H.S = 6 + 2z
\n= 6 + 2\\(\\left(\\frac{3}{2}\\right)\\)
\n= 6 + 3
\n= 9
\nHence, L.H.S. = R.H.S.<\/p>\n

Question 5.
\n2x – 1 = 14 – x
\nSolution:
\n2x – 1 = 14 – x
\nTransposing -1 to RHS and -x to L.H.S.
\n2x + x = 14 + 1
\n3x = 15
\nDividing both sides by 3, we get
\n\\(\\frac{3 x}{3}=\\frac{15}{3}\\)
\nx = 5<\/p>\n

Check:
\nPut x = 5 in LHS and RHS of the equation
\nLHS = 2x – 1
\n= 2(5) – 1
\n= 10 – 1
\n= 9
\nR.H.S = 14 – x
\n= 14 – 5
\n= 9
\nHence, L.H.S. = R.H.S.<\/p>\n

\"NCERT<\/p>\n

Question 6.
\n8x + 4 = 3(x – 1) + 7
\nSolution:
\n8x + 4 = 3(x – 1) + 7
\n8x + 4 = 3x – 3 + 7
\n8x + 4 = 3x + 4
\nTransposing 4 to R.H.S. and 3x to LHS, we get
\n8x – 3x = 4 – 4
\n5x = 0
\nDividing both sides by 5
\n\\(\\frac{5 x}{5}=\\frac{0}{5}\\)
\nx = 0<\/p>\n

Check:
\nPut x = 0 in L.H.S. and R.H.S. of the equation
\nL.H.S. = 8x + 4
\n= 8(0) + 4
\n= 4
\nR.H.S = 3(x – 1) + 7
\n= 3(0 – 1) + 7
\n= -3 + 7
\n= 4
\nHence, L.H.S. = R.H.S.<\/p>\n

Question 7.
\nx = \\(\\frac{4}{5}\\) (x + 10)
\nSolution:
\nx = \\(\\frac{4}{5}\\) (x + 10)
\nMultiplying both sides by 5, we get
\n5x = 5 \u00d7 \\(\\frac{4}{5}\\) (x + 10)
\n5x = 4(x + 10)
\n5x = 4x + 40
\nTransposing 4x to L.H.S.
\n5x – 4x = 40
\nx = 40<\/p>\n

Check:
\nPut x = 40 in L.H.S. and R.H.S. of the equation
\nL.H.S. = x = 40
\nR.H.S. = \\(\\frac{4}{5}\\) (x + 10)
\n= \\(\\frac{4}{5}\\) (40 + 10)
\n= \\(\\frac{4}{5}\\) x 50
\n= 4 \u00d7 10
\n= 40
\nHence, L.H.S. = R.H.S<\/p>\n

\"NCERT<\/p>\n

Question 8.
\n\\(\\frac{2 x}{3}+1=\\frac{7 x}{15}+3\\)
\nSolution:
\n\\(\\frac{2 x}{3}+1=\\frac{7 x}{15}+3\\)
\nTransposing 1 to R.H.S. and \\(\\frac{7 \\mathrm{x}}{15}\\) to L.H.S.
\n\\(\\frac{2 x}{3}-\\frac{7 x}{15}=3-1\\)
\n\\(\\frac{10 x-7 x}{15}\\) = 2
\n\\(\\frac{3 x}{15}\\) = 2
\nMultiplying both sides by 15, we get
\n\\(\\frac{3 x}{15}\\) \u00d7 15 = 2 \u00d7 15
\n3x = 30
\nDividing both sides by 3
\n\\(\\frac{3 x}{3}=\\frac{30}{3}\\)
\nx = 10<\/p>\n

Check:
\nPut x = 10 in L.H.S. and R.H.S. of the equation
\n\"NCERT
\nHence, L.H.S. = R.H.S.<\/p>\n

Question 9.
\n\\(2 y+\\frac{5}{3}=\\frac{26}{3}-y\\)
\nSolution:
\n\\(2 y+\\frac{5}{3}=\\frac{26}{3}-y\\)
\nTransposing \\(\\frac{5}{3}\\) to R.H.S. and -y to L.H.S.
\n2y + y = \\(\\frac{26}{3}-\\frac{5}{3}\\)
\n3y = \\(\\frac{26-5}{3}\\)
\n3y = \\(\\frac{21}{3}\\) = 7
\nDivide both sides by 3, we get
\n\\(\\frac{3 y}{3}=\\frac{7}{3}\\)
\ny = \\(\\frac{7}{3}\\)<\/p>\n

Check:
\nPut y = \\(\\frac{7}{3}\\) in .L.H.S. and R.H.S of the equation
\n\"NCERT
\nHence, L.H.S. = R.H.S<\/p>\n

\"NCERT<\/p>\n

Question 10.
\n3m = 5m – \\(\\frac{8}{5}\\)
\nSolution:
\n3m = 5m – \\(\\frac{8}{5}\\)
\nTransposing 5m to L.H.S. we get
\n3m – 5m = \\(\\frac{-8}{5}\\)
\n-2m = \\(\\frac{-8}{5}\\)
\nDividing both sides by -2, we get
\n\\(\\frac{-2 m}{-2}=\\frac{-8}{5} \\div(-2)\\)
\nm = \\(\\frac{8}{10}=\\frac{4}{5}\\)<\/p>\n

Check:
\nPut m = \\(\\frac{4}{5}\\) in L.H.S. and R.H.S. of the equation
\n\"NCERT
\nHence, L.H.S = R.H.S<\/p>\n","protected":false},"excerpt":{"rendered":"

These NCERT Solutions for Class 8 Maths Chapter 2 Linear Equations in One Variable Ex 2.3 Questions and Answers are prepared by our highly skilled subject experts. NCERT Solutions for Class 8 Maths Chapter 2 Linear Equations in One Variable Exercise 2.3 Solve the following equations and check your results. Question 1. 3x = 2x …<\/p>\n

NCERT Solutions for Class 8 Maths Chapter 2 Linear Equations in One Variable Ex 2.3<\/span> Read More »<\/a><\/p>\n","protected":false},"author":9,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"default","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":"default","adv-header-id-meta":"","stick-header-meta":"default","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","spay_email":""},"categories":[7],"tags":[],"yoast_head":"\nNCERT Solutions for Class 8 Maths Chapter 2 Linear Equations in One Variable Ex 2.3 - MCQ Questions<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mcq-questions.com\/ncert-solutions-for-class-8-maths-chapter-2-ex-2-3\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"NCERT Solutions for Class 8 Maths Chapter 2 Linear Equations in One Variable Ex 2.3 - MCQ Questions\" \/>\n<meta property=\"og:description\" content=\"These NCERT Solutions for Class 8 Maths Chapter 2 Linear Equations in One Variable Ex 2.3 Questions and Answers are prepared by our highly skilled subject experts. NCERT Solutions for Class 8 Maths Chapter 2 Linear Equations in One Variable Exercise 2.3 Solve the following equations and check your results. Question 1. 3x = 2x … NCERT Solutions for Class 8 Maths Chapter 2 Linear Equations in One Variable Ex 2.3 Read More »\" \/>\n<meta property=\"og:url\" content=\"https:\/\/mcq-questions.com\/ncert-solutions-for-class-8-maths-chapter-2-ex-2-3\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ Questions\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/NCERTSolutionsGuru\/\" \/>\n<meta property=\"article:published_time\" content=\"2021-06-28T07:07:33+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2022-03-02T05:17:29+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/mcq-questions.com\/wp-content\/uploads\/2021\/01\/NCERT-Solutions-Guru.png\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:creator\" content=\"@ncertsolguru\" \/>\n<meta name=\"twitter:site\" content=\"@ncertsolguru\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"Prasanna\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"6 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebSite\",\"@id\":\"https:\/\/mcq-questions.com\/#website\",\"url\":\"https:\/\/mcq-questions.com\/\",\"name\":\"MCQ Questions\",\"description\":\"MCQ Questions for Class 1 to 12\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/mcq-questions.com\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"en-US\"},{\"@type\":\"ImageObject\",\"@id\":\"https:\/\/mcq-questions.com\/ncert-solutions-for-class-8-maths-chapter-2-ex-2-3\/#primaryimage\",\"inLanguage\":\"en-US\",\"url\":\"https:\/\/i0.wp.com\/mcq-questions.com\/wp-content\/uploads\/2021\/01\/NCERT-Solutions-Guru.png?fit=170%2C17&ssl=1\",\"contentUrl\":\"https:\/\/i0.wp.com\/mcq-questions.com\/wp-content\/uploads\/2021\/01\/NCERT-Solutions-Guru.png?fit=170%2C17&ssl=1\",\"width\":170,\"height\":17,\"caption\":\"NCERT Solutions\"},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/mcq-questions.com\/ncert-solutions-for-class-8-maths-chapter-2-ex-2-3\/#webpage\",\"url\":\"https:\/\/mcq-questions.com\/ncert-solutions-for-class-8-maths-chapter-2-ex-2-3\/\",\"name\":\"NCERT Solutions for Class 8 Maths Chapter 2 Linear Equations in One Variable Ex 2.3 - MCQ Questions\",\"isPartOf\":{\"@id\":\"https:\/\/mcq-questions.com\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\/\/mcq-questions.com\/ncert-solutions-for-class-8-maths-chapter-2-ex-2-3\/#primaryimage\"},\"datePublished\":\"2021-06-28T07:07:33+00:00\",\"dateModified\":\"2022-03-02T05:17:29+00:00\",\"author\":{\"@id\":\"https:\/\/mcq-questions.com\/#\/schema\/person\/4ba9570f32f2057e70e670c7885e47f3\"},\"breadcrumb\":{\"@id\":\"https:\/\/mcq-questions.com\/ncert-solutions-for-class-8-maths-chapter-2-ex-2-3\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/mcq-questions.com\/ncert-solutions-for-class-8-maths-chapter-2-ex-2-3\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/mcq-questions.com\/ncert-solutions-for-class-8-maths-chapter-2-ex-2-3\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/mcq-questions.com\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"NCERT Solutions for Class 8 Maths Chapter 2 Linear Equations in One Variable Ex 2.3\"}]},{\"@type\":\"Person\",\"@id\":\"https:\/\/mcq-questions.com\/#\/schema\/person\/4ba9570f32f2057e70e670c7885e47f3\",\"name\":\"Prasanna\",\"image\":{\"@type\":\"ImageObject\",\"@id\":\"https:\/\/mcq-questions.com\/#personlogo\",\"inLanguage\":\"en-US\",\"url\":\"https:\/\/secure.gravatar.com\/avatar\/174540ad43736c7d1a4c4f83c775e74d?s=96&d=mm&r=g\",\"contentUrl\":\"https:\/\/secure.gravatar.com\/avatar\/174540ad43736c7d1a4c4f83c775e74d?s=96&d=mm&r=g\",\"caption\":\"Prasanna\"},\"url\":\"https:\/\/mcq-questions.com\/author\/prasanna\/\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"NCERT Solutions for Class 8 Maths Chapter 2 Linear Equations in One Variable Ex 2.3 - MCQ Questions","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:\/\/mcq-questions.com\/ncert-solutions-for-class-8-maths-chapter-2-ex-2-3\/","og_locale":"en_US","og_type":"article","og_title":"NCERT Solutions for Class 8 Maths Chapter 2 Linear Equations in One Variable Ex 2.3 - MCQ Questions","og_description":"These NCERT Solutions for Class 8 Maths Chapter 2 Linear Equations in One Variable Ex 2.3 Questions and Answers are prepared by our highly skilled subject experts. NCERT Solutions for Class 8 Maths Chapter 2 Linear Equations in One Variable Exercise 2.3 Solve the following equations and check your results. Question 1. 3x = 2x … NCERT Solutions for Class 8 Maths Chapter 2 Linear Equations in One Variable Ex 2.3 Read More »","og_url":"https:\/\/mcq-questions.com\/ncert-solutions-for-class-8-maths-chapter-2-ex-2-3\/","og_site_name":"MCQ Questions","article_publisher":"https:\/\/www.facebook.com\/NCERTSolutionsGuru\/","article_published_time":"2021-06-28T07:07:33+00:00","article_modified_time":"2022-03-02T05:17:29+00:00","og_image":[{"url":"https:\/\/mcq-questions.com\/wp-content\/uploads\/2021\/01\/NCERT-Solutions-Guru.png"}],"twitter_card":"summary_large_image","twitter_creator":"@ncertsolguru","twitter_site":"@ncertsolguru","twitter_misc":{"Written by":"Prasanna","Est. reading time":"6 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebSite","@id":"https:\/\/mcq-questions.com\/#website","url":"https:\/\/mcq-questions.com\/","name":"MCQ Questions","description":"MCQ Questions for Class 1 to 12","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/mcq-questions.com\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"en-US"},{"@type":"ImageObject","@id":"https:\/\/mcq-questions.com\/ncert-solutions-for-class-8-maths-chapter-2-ex-2-3\/#primaryimage","inLanguage":"en-US","url":"https:\/\/i0.wp.com\/mcq-questions.com\/wp-content\/uploads\/2021\/01\/NCERT-Solutions-Guru.png?fit=170%2C17&ssl=1","contentUrl":"https:\/\/i0.wp.com\/mcq-questions.com\/wp-content\/uploads\/2021\/01\/NCERT-Solutions-Guru.png?fit=170%2C17&ssl=1","width":170,"height":17,"caption":"NCERT Solutions"},{"@type":"WebPage","@id":"https:\/\/mcq-questions.com\/ncert-solutions-for-class-8-maths-chapter-2-ex-2-3\/#webpage","url":"https:\/\/mcq-questions.com\/ncert-solutions-for-class-8-maths-chapter-2-ex-2-3\/","name":"NCERT Solutions for Class 8 Maths Chapter 2 Linear Equations in One Variable Ex 2.3 - MCQ Questions","isPartOf":{"@id":"https:\/\/mcq-questions.com\/#website"},"primaryImageOfPage":{"@id":"https:\/\/mcq-questions.com\/ncert-solutions-for-class-8-maths-chapter-2-ex-2-3\/#primaryimage"},"datePublished":"2021-06-28T07:07:33+00:00","dateModified":"2022-03-02T05:17:29+00:00","author":{"@id":"https:\/\/mcq-questions.com\/#\/schema\/person\/4ba9570f32f2057e70e670c7885e47f3"},"breadcrumb":{"@id":"https:\/\/mcq-questions.com\/ncert-solutions-for-class-8-maths-chapter-2-ex-2-3\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/mcq-questions.com\/ncert-solutions-for-class-8-maths-chapter-2-ex-2-3\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/mcq-questions.com\/ncert-solutions-for-class-8-maths-chapter-2-ex-2-3\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/mcq-questions.com\/"},{"@type":"ListItem","position":2,"name":"NCERT Solutions for Class 8 Maths Chapter 2 Linear Equations in One Variable Ex 2.3"}]},{"@type":"Person","@id":"https:\/\/mcq-questions.com\/#\/schema\/person\/4ba9570f32f2057e70e670c7885e47f3","name":"Prasanna","image":{"@type":"ImageObject","@id":"https:\/\/mcq-questions.com\/#personlogo","inLanguage":"en-US","url":"https:\/\/secure.gravatar.com\/avatar\/174540ad43736c7d1a4c4f83c775e74d?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/174540ad43736c7d1a4c4f83c775e74d?s=96&d=mm&r=g","caption":"Prasanna"},"url":"https:\/\/mcq-questions.com\/author\/prasanna\/"}]}},"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/mcq-questions.com\/wp-json\/wp\/v2\/posts\/26816"}],"collection":[{"href":"https:\/\/mcq-questions.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mcq-questions.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mcq-questions.com\/wp-json\/wp\/v2\/users\/9"}],"replies":[{"embeddable":true,"href":"https:\/\/mcq-questions.com\/wp-json\/wp\/v2\/comments?post=26816"}],"version-history":[{"count":1,"href":"https:\/\/mcq-questions.com\/wp-json\/wp\/v2\/posts\/26816\/revisions"}],"predecessor-version":[{"id":33974,"href":"https:\/\/mcq-questions.com\/wp-json\/wp\/v2\/posts\/26816\/revisions\/33974"}],"wp:attachment":[{"href":"https:\/\/mcq-questions.com\/wp-json\/wp\/v2\/media?parent=26816"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mcq-questions.com\/wp-json\/wp\/v2\/categories?post=26816"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mcq-questions.com\/wp-json\/wp\/v2\/tags?post=26816"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}