Answer:
Multiplying the first equation by 3 and the second equation by 9, we get:
-27y + 12x - 33 = 0
-27y + 90x + 279 = 0
Now, we can subtract the first equation from the second to eliminate y:
-27y + 90x + 279 - (-27y + 12x - 33) = 0
78x + 312 = 0
78x = -312
x = -4
Substituting x = -4 into the first equation, we get:
-9y + 4(-4) - 11 = 0
-9y - 27 = 0
y = -3
Therefore, the solution to the system of equations is (x, y) = (-4, -3).