using the substitution p=1/x, q=1/y, solve simultaneous equations

Question

1/x-5/y=y
2/x+1/y=s
please could show all working

Answer 1

so, make the suggested substitution:

p - 5q = 1/q
2p + q = s

I think there's a typo in the 1st equation. Don't expect to see a quadratic.

Answer 2

Madness