{"id":24826,"date":"2021-06-21T16:40:48","date_gmt":"2021-06-21T11:10:48","guid":{"rendered":"https:\/\/ncertsolutions.guru\/?p=24826"},"modified":"2021-06-21T16:40:48","modified_gmt":"2021-06-21T11:10:48","slug":"ncert-solutions-for-class-9-maths-chapter-4-ex-4-1","status":"publish","type":"post","link":"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-9-maths-chapter-4-ex-4-1\/","title":{"rendered":"NCERT Solutions for Class 9 Maths Chapter 4 Linear Equations in Two Variables Ex 4.1"},"content":{"rendered":"

These NCERT Solutions for Class 9 Maths<\/a> Chapter 4 Linear Equations in Two Variables Ex 4.1 Questions and Answers are prepared by our highly skilled subject experts.<\/p>\n

NCERT Solutions for Class 9 Maths Chapter 4 Linear Equations in Two Variables Exercise 4.1<\/h2>\n

Question 1.
\nThe cost of a notebook is twice the cost of a pen. Write a linear equation in two variables to represent this statement.
\nSolution:
\nLet the cost of a notebook is Rs. x and the cost of a pen is Rs. y
\nAccording to question
\nx = 2y or, x – 2y = 0
\nTherefore the linear equation in two variables to represent this statement is x – 2y = 0<\/p>\n

\"NCERT<\/p>\n

Question 2.
\nExpress the following linear equations in the form ax + by + c = 0 and indicate the values of a, b and c in each case:
\n(i) 2x + 3y = 9.\\(\\bar{35}\\)
\n(ii) x – \\(\\frac {y}{5}\\) – 10 = 0
\n(iii) -2x + 3y = 6
\n(iv) x = 3y
\n(v) -2x = -5y
\n(vi) 3x + 2 = 0
\n(vii) y – 2 = 0
\n(viii) 5 = 2x
\nSolution:
\n(i) We have given that
\n2x + 3y = 9.\\(\\bar{35}\\)
\n2x + 3y – 9.\\(\\bar{35}\\) = 0
\nNow, it is the form of ax + by + c = 0
\nTherefore the values of a, b and c are 2, 3 and -9.\\(\\bar{35}\\) respectively.<\/p>\n

(ii) We have given that
\nx – \\(\\frac {y}{5}\\) – 10 = 0
\nWe can also write
\n1x + (\\(\\frac {-y}{5}\\)) y + (-10) = 0
\nNow, it is in the form of ax + by + c = 0
\nTherefore values of a, b and c are 1, \\(\\frac {-y}{5}\\), and -10 respectively.<\/p>\n

(iii) We have given that
\n-2x + 3y = 6
\nor, -2x + 3y – 6 = 0
\nWe can also write
\n(-2)x + 3y + (-6) = 0
\nNow, it is in the form of ax + by + c = 0
\nTherefore, the values of a, b and c are -2, 3 and -6 respectively.<\/p>\n

\"NCERT<\/p>\n

(iv) We have given that,
\nx = 3y
\nor, x – 3y = 0
\nWe can also write
\n1x + (-3)y + 0 = 0
\nNow, it is in the form of ax + by + c = 0 and the values of a, b and c are 1, -3 and 0 respectively.<\/p>\n

(v) We have given that
\n2x = -5y
\nor, 2x + 5y = 0
\nWe can also write 2x + 5y + 0 = 0
\nNow, it is in the form of ax + by + c = 0.
\nTherefore, the values of a, b and c are 2, 5 and 0 respectively.<\/p>\n

(vi) We have given that
\n3x + 2 = 0
\nWe can also write 3x + 0y + 2 = 0
\nNow, it is in the form of ax + by + c = 0
\nTherefore, the values of a, b and c are 3, 0 and 2 respectively.<\/p>\n

(vii) y – 2 = 0
\nWe can also write,
\n0x + 1y + (-2) = 0
\nNow, it is in the form of ax + by + c = 0.
\nTherefore, the values of a, b and c are 0, 1 and -2 respectively.<\/p>\n

\"NCERT<\/p>\n

(viii) we have given that
\n5 = 2x
\nor, 2x – 5 = 0
\nWe can also write
\n2x + 0y + (-5) = 0
\nNow it is in the form of ax + by + c = 0.
\nTherefore, the values of a, b and c are 2, 0 and (-5) respectively.<\/p>\n","protected":false},"excerpt":{"rendered":"

These NCERT Solutions for Class 9 Maths Chapter 4 Linear Equations in Two Variables Ex 4.1 Questions and Answers are prepared by our highly skilled subject experts. NCERT Solutions for Class 9 Maths Chapter 4 Linear Equations in Two Variables Exercise 4.1 Question 1. The cost of a notebook is twice the cost of a …<\/p>\n

NCERT Solutions for Class 9 Maths Chapter 4 Linear Equations in Two Variables Ex 4.1<\/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":{"spay_email":""},"categories":[6],"tags":[],"yoast_head":"\nNCERT Solutions for Class 9 Maths Chapter 4 Linear Equations in Two Variables Ex 4.1 - NCERT Solutions<\/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:\/\/ncertsolutions.guru\/ncert-solutions-for-class-9-maths-chapter-4-ex-4-1\/\" \/>\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 9 Maths Chapter 4 Linear Equations in Two Variables Ex 4.1 - NCERT Solutions\" \/>\n<meta property=\"og:description\" content=\"These NCERT Solutions for Class 9 Maths Chapter 4 Linear Equations in Two Variables Ex 4.1 Questions and Answers are prepared by our highly skilled subject experts. 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