Question

Solve the following simultaneous equation graphically.

2x + 3y = 12 ; x – y = 1

Answer 1

2x + 3y = 12

∴ 3y = 12 - 2x

∴ y = `(12 - 2x)/3` 

x	0	6	3
y	4	0	2
(x, y)	(0, 4)	(6, 0)	(3, 2)

x – y = 1

∴ y = x - 1

x	0	1	3
y	-1	0	2
(x, y)	(0, -1)	(1, 0)	(3, 2)

  

The solution of the given equations is the point of intersection of the two line i.e (3, 2).