Answer
y=-2, x=0
y=0, x=4
Work Step by Step
1. Rearrange for x
x-2y=4
x=4+2y
2. Substitute x
y^{2}= 4-x
y^{2}= 4- (4+2y)
y^{2}= 4-4-2y
y^{2}= -2y
3. Rearrange and equal to 0. Solve for y
y^{2}+2y=0
(y+2) (y)= 0
y=-2 , y=0
4. Solve for x
When y=-2
x-2(-2)=4
x+4=4
x= 4-4
x=0
When y=0
x-2(0)=4
x-0=4
x=4