Answer:
10
Step-by-step explanation:
xy + 5x + 4y = -5
(x + 4) y + 5x = -5
(x + 4) y = -5x − 5
y = -5 (x + 1) / (x + 4)
For y to be large as possible, (x + 1) / (x + 4) must be negative. That means -4 < x < -1. So x is either -2 or -3.
The possible values of y are:
y = -5 (-2 + 1) / (-2 + 4) = 5/2 (not an integer).
y = -5 (-3 + 1) / (-3 + 4) = 10.
