y = -x + 2 (a)
y = 3x + 2 (b)
First express both equations in the form ax+by= c
x+y = 2 (a)
-3x+y = 2 (b)
Then subtract (b) to (a) to eliminate y
x + y = 2
-
-3x + y = 2
___________
4x = 0
Solve for x
x=0/4
x= 0
Replace x on any original equation and solve for y:
x+y= 2
0+y=2
y=2
Solution:
x=0
y=2
