By the way "” If you don't like using the individual factors, you can also multiply them out to give x^2 - y^2 = 5.
Because x and y are integers, the only possible values of x^2 and/or y^2 are 1, 4, 9, 16, 25, etc.
A quick look at these numbers will show you that a difference of 5 is only possible if x^2 = 9 and y^2 = 4.
So, x = -3 and y = -2.