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Ex 3.7, 6 (Optional) - Draw graphs of equations 5x - y = 5, 3x - y = 3

Ex 3.7, 6 (Optional) - Chapter 3 Class 10 Pair of Linear Equations in Two Variables - Part 2
Ex 3.7, 6 (Optional) - Chapter 3 Class 10 Pair of Linear Equations in Two Variables - Part 3 Ex 3.7, 6 (Optional) - Chapter 3 Class 10 Pair of Linear Equations in Two Variables - Part 4 Ex 3.7, 6 (Optional) - Chapter 3 Class 10 Pair of Linear Equations in Two Variables - Part 5

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Question 6 Draw the graphs of the equations 5x – y = 5 and 3x – y = 3. Determine the co-ordinates of the vertices of the triangle formed by these lines and the y axis. Given equations 5x − y = 5 3x − y = 3 For Equation (1) 5x − y = 5 Let x = 0 5(0) − y = 5 −y = 5 y = −5 So, x = 0, y = −5 is a solution i.e. (0, −5) is a solution Let y = 0 5x − 0 = 5 5x = 5 x = 5/5 x = 1 So, x = 1, y = 0 is a solution i.e. (1, 0) is a solution For Equation (3) 3x − y = 3 Let x = 0 3(0) − y = 3 −y = 3 y = −3 So, x = 0, y = −3 is a solution i.e. (0, −3) is a solution Let y = 0 3x − 0 = 3 3x = 3 x = 3/3 x = 1 So, x = 1, y = 0 is a solution i.e. (1, 0) is a solution Therefore, Δ ABC is the required triangle Where A(1, 0), B(0, −3), C(0, −5)

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.