The system of equations can be written as:
-5x - 9y = 33..............(1)
-y - 1 = x.......................(2)
This can be rewritten as:
x = - y - 1........................(2)
Substitute equation (2) into equation (1)
-5(-y - 1) - 9y = 33
5y + 5 - 9y = 33
9y - 5y = 5 - 33
4y = -28
y = -28 / 4
y = -7
Substitute the value of y into equation (2)
x = - y - 1
x = -(-7) - 1
x = 7 - 1
x = 6
