Solve graphically each of the following systems of linear equations. Also find the coordinates of the points where the lines meet axis of y.

(i) 2x - 5y + 4 = 0,

2x - y - 8 = 0

(ii) 3x + 2y = 12

5x - 2y = 4

(iii) 2x + y - 11 = 0,

x - y - 1 = 0

(iv) x + 2y - 7 = 0

2x - y - 4 = 0

(v) 3x + y - 5 = 0

2x - y - 5 = 0

(vi) 2x - y - 5 = 0

x - y - 3 = 0

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Solution

(i) x = 3, y = 2; (0, 4/5), (0,8)

(ii) x = 2, y = 3; (0,6) and (0,2)

(iii) x = 4, y = 3; (0,11), and (0,-1)

(iv) x = 3, y = 2, (0, 3.5), (0, -4)

(v) 3x + y - 5 =0, 2x-y-5 = 0

(vi) 2x - y - 5 = 0, x - y - 3 = 0

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(i) x = 3, y = 2; (0, 4/5), (0,8) (ii) x = 2, y = 3; (0,6) and (0,2) (iii) x = 4, y = 3; (0,11), and (0,-1) (iv) x = 3, y = 2, (0, 3.5), (0, -4) (v) 3x + y - 5 =0, 2x-y-5 = 0 (vi) 2x - y - 5 = 0, x - y - 3 = 0

(i) x = 3, y = 2; (0, 4/5), (0,8)

(ii) x = 2, y = 3; (0,6) and (0,2)

(iii) x = 4, y = 3; (0,11), and (0,-1)

(iv) x = 3, y = 2, (0, 3.5), (0, -4)

(v) 3x + y - 5 =0, 2x-y-5 = 0

(vi) 2x - y - 5 = 0, x - y - 3 = 0