Using the substitution method, solve for x and y in the following system of equations.
Y-4x=16
12x-y=-24

[tex]y-4x=16\\
12x-y=-24\\\\
y=4x+16\\
12x-y=-24\\\\
12x-(4x+16)=-24\\
12x-4x-16=-24\\
8x=-8\\
x=-1\\\\
y=4\cdot(-1)+16\\
y=-4+16\\
y=12\\\\
\boxed{x=-1,y=12}[/tex]