You can put this solution on YOUR website! First you want to rewrite the first equation and then plug it into the second equation.
x + y = 12 can be rewritten as x = 12 - y (subtract y from each side).
Now plug this new value of x into the second equation and solve for y:
x-4y = -8
(12-y)- 4y = -8
12 - y - 4y = -8
12 - 5y = -8
-5y = -20
y = 4
Plug this value into the first equation to find x:
x + y = 12
x + 4 = 12
x= 8
So y=4 and x=8.
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