I started by using elimination to solve for x
3x + 9 = -3y became -2x - 2 = 0
-5x - 11 = 3y
then i soved for x
-2x = 2 x = 2/-2 x = -1
then i plug that back in for x and sove for y in one of the original equations
first equation
3(-1) + 9 = -3y 6 = -3y 6/-3 = y y = -2
second equation
3y = -5(-1) - 11 3y = -6 y = -6/3 y = -2
therefore your answers are x = -1 and y = -2