This is really simple, but for some reason I am just stuck on this (Feel pretty stupid at the moment!)

I want a step by step solution to this problem by SUBSTITUTION. I can easily do this by elimination, but for some bizarre reason my attempts at SUBSTITUTION keep failing.

1) (3/x) + (2/y) = 14

2) (5/x) - (3/y) = -2

This looks pretty simple to me yet somewhere along the way I am making some drastic error when number crunching. It's gotten to the point where I've started getting several different answers and I cannot see where I am going wrong.

I have attempted ... oh shit! Just spotted a stupid error!! haha!! Now I get no answer!

I am right in thinking the solution cannot be found unless I use elimination? If not how else could I find the solution?