Q3 of 61 Page 27

Solve the following simultaneous equation graphically.

3x – y – 2 = 0; 2x + y = 8

For equation 1, let's find the points for graph

3x - y - 2 = 0
At x = 0
3(0) - y - 2 = 0
⇒ y = -2

At x = 1
3(1) - y - 2 = 0
⇒ y = 1

At x = 2
3(2) - y - 2 = 0
⇒ 6 - y - 2 = 0
⇒ y =4

Hence, points for graph are (0, -1) (1, 1) and (2, 4)

For equation 2
2x+ y = 8

at x = 0
y =8

at x = 1
2(1) + y = 8
⇒ y = 6

at x =4
2(4) + y = 8
⇒ y = 0

Hence, points for graph are (0, 8) (1, 6) and (4, 0)


From graph, we observe both lines intersect at (2, 4)
hence, x =2 y = 4 is the solution of given pair

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