.
The given system is equivalent to THIS
x + 9y = 5, (1)
4x + 9y = -7, (2)
Subtract eq(1) from eq(2) (both sides). You will get
4x - x = -7 - 5, or
3x = - 12 ====> x =
= -4.
Then from eq(1) 9y = 5 - x = 5 - (-4) = 9 ====> y = 1.
Answer. The solution is (x,y) = (-4,1).