4x + 2y = 4
6x - 8 = -2y
Both equations are divisible by 2, so divide both sides of both equations by 2.
2x + y = 2
3x - 4 = -y
Since the second equation has -y on one side, we can multiply both sides by -1 to solve for y.
y = -3x + 4
Now we substitute y of the first equation with -3x + 4.
This is the substitution method.
2x + y = 2
2x - 3x + 4 = 2
-x + 4 = 2
-x = -2
x = 2
Now we substitute 2 for x in the first original equation and solve for y.
4x + 2y = 4
4(2) + 2y = 4
8 + 2y = 4
2y = -4
y = -2
The solution is x = 2 and y = -2