Question

Find the coordinates of the point of intersection of the two lines 2x-7y= 2 and 4x+5y=42

Answer 1

x = 8, y = 2

Explanation:

2x - 7y = 2 (1)

4x + 5y = 42 (2)

2x = 2 + 7y (1)

2(2 + 7y) + 5y = 42 (2)

4 + 14y + 5y = 42

19y = 38

y = 2

2x = 2 + 7(2) = 16

x = 8