Question

Solve the following simultaneous equation graphically.

x – 3y = 1 ; 3x – 2y + 4 = 0

Answer 1

x - 3y = 1
x - 1 = 3y
∴ 3y = x - 1
∴ y = `(x - 1)/3`

x	1	4	7
y	0	1	2
(x,y)	(1,0)	(4,1)	(7,2)

 

3x – 2y + 4 = 0

3x + 4 = 2y

2y = 3x + 4

∴ y - `(3x + 4)/2`

 

x	0	2	-2
y	2	5	-1
(x,y)	(0,2)	(2,5)	(-2,-1)

 
The solution of the given equations is the point of intersection of the two lines, i.e. (\[- 2, - 1\]