–9x+y=12

2x+4y= −28

First, let's solve the first equation for y.

-9x + y = 12
y = 9x + 12

Now, substitute this expression for y into the second equation.
2x + 4(9x + 12) = -28
2x + 36x + 48 = -28
38x + 48 = -28
38x = -76
x = -2

Now, substitute x = -2 back into the expression we found for y.
y = 9(-2) + 12
y = -18 + 12
y = -6

So, the solution to the system of equations is x = -2 and y = -6.