Find all positive integers X and Y such that:

- X divides Y+5, and:
- Y divides X+3

Prove that there are no others.

If x = 1, then y can be 1, 2 or 4

If x = 2, then y can be 1 or 5

x can't equal 3

If x = 4, then y can be 7

x can't equal 5

x can't equal 6

if x = 7, then y can be 2

I'm tired of doing this in my head. I guess I'd better go to algebra