Question

Write the coordinates of each points on the lines 2x – y + 1 = 0 and 3x – 2y + 3 = 0. Find the co-ordinates of the point of intersection of the lines.

Answer 1

The line 2x - y + 1 = 0

x = 2 then 4 - y + 1 = 0

y = 5; (2,5)

The line 3x - 2y + 3 = 0

x = 3 then 9 - 2y + 3 = 0

2y = 12;

y = 6; (3, 6)

4x - 2y + 2 = 0

3x + 2y + 3 = 0

(1) + (2), x - 1 = 0

x = 1

x = 1 (put value in (1))

4x 1 - 2y + 2 = 0

y = 3 intersecting points = (1, 3)