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Question

# Solve the following simultaneous equations graphically. (1) 2x + 3y = 12 ; x – y = 1 (2) x – 3y = 1 ; 3x – 2y + 4 = 0 (3) 5x – 6y + 30 = 0 ; 5x + 4y – 20 = 0 (4) 3x – y – 2 = 0 ; 2x + y = 8 (5) 3x + y = 10 ; x – y = 2

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Solution

## (1) 2x + 3y = 12 x 0 6 3 y 4 0 2 x – y = 1 x 0 1 3 y −1 0 2 The solution of the given equations is the point of intersection of the two line i.e(3, 2). (2) x – 3y = 1 x 1 4 7 y 0 1 2 3x – 2y + 4 = 0 x 0 2 4 y 2 5 8 The solution of the given equations is the point of intersection of the two line i.e ($-2,-1$). (3) 5x – 6y + 30 = 0 x 0 –6 y 5 0 5x + 4y – 20 = 0 x 0 4 y 5 0 The solution of the given equations is the point of intersection of the two line i.e (0, 5). (4) 3x – y – 2 = 0 x 0 1 y –2 1 2x + y = 8 x 0 4 y 8 0 The solution of the given equations is the point of intersection of the two line i.e (2, 4). (5) 3x + y = 10 x 0 1 y 10 7 x – y = 2 x 0 2 y –2 0 The solution of the given equations is the point of intersection of the two line i.e (3, 1).

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