Egad....misread the Q ! D'Oh!
Here is a solution: ( rather than just an answer)
xy = -32
x+y = -4 or y = -4 -x sub this into the first equation to get
x ( -4-x) + 32 = 0
-x^2 -4x + 32 = 0 now, you can factor.....or use the Quadratic Formula
with a = -1 b = -4 c = 32 to find the numbers are 4 and -8
\(x = {-(-4) \pm \sqrt{(-4)^2-4(-1)(32)} \over 2 (-1)}\)