x=4, y=4
step-by-step explanation:
y=2x-4;
x+2y=12
we can use substitution since the first equation is solved for y
where ever you see y in the second equation, replace it with 2x-4
x + 2(2x-4) = 12
distribute the 2
x+4x-8 = 12
combine like terms
5x-8=12
add 8 to each side
5x-8+8=12+8
5x=20
divide by 5
5x/5 = 20/5
x =4
we still need to solve for y
y = 2x-4
we know x =4
y = 2(4) -4
y = 8-4
y=4