Answer:
y = -3, x = 1
or
(1, -3)
Explanation:
5x + 4y = -7
-5x - 2y = 1
add the two equations together
0x + 2y = -6
2y = -6
2y/2 = -6/2
y = -6/2
y = -3
now substitute y = -3 into either of the equations
5x + 4y = -7
5x + 4(-3) = -7
5x - 12 = -7
5x = -7 + 12
5x = 5
x = 1