Question

on 3. Solve the following simultaneous equations graphically.
(1) 2x + 3y = 12 ; x - y = 1
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Answer 1

i. The given simultaneous equations are

2x + 3y = 12

∴ 3y = 12 - 2x

∴ y = 12−2x312−2x3

x 0 6 3 -3 y 4 0 2 6 (x,y) (0,4) (6,0) (3,2) (-3,6) x - y = 1

∴ y = x - 1 x 0 2 4 5 y -1 1 3 4 (x,y) (0,-1) (2,1) (4,3) (5,4) The two lines interest at point (3,2).

∴ x = 3 and y = 2 is the solution of the simultaneous equations 2x + 3y = 12 and x – y = 1.l