Last updated at Aug. 1, 2017 by Teachoo

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Ex 3.7, 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 Solving (1) 5x − y = 5 5x − 5 = y Y = 5x - 5 Let x = 0 y = (5 × 0) − 5 y = 0 − 5 y = −5 So, x = 0, y = −5 is a solution, i.e. (0, −5) is a solution Let x = 1 y = (5 × 1) − 5 y = 5 − 5 y = 0 So, x = 1, y = 0 is a solution, i.e. (1, 0) is a solution Solving (2) 3x − y = 3 3x − 3 = y y = 3x − 3 When x = 0 y = (3 × 0) − 3 y = 0 − 3 y = −3 So, x = 0, y = −3 is a solution, i.e. (0, −3) is a solution When x = 1 y = (3 × 1) − 3 y = 3 − 3 y = 0 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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CA Maninder Singh

CA Maninder Singh is a Chartered Accountant for the past 6 years. He provides courses for Practical Accounts, Taxation and Efiling at teachoo.com .