Hi!

I've got myself into this rather unhelpful question. I have tried many different ways to solve it, but all of them have turned out to fail miserably .The question is:

Solve,

$\displaystyle xy+5(x+y)=47$

$\displaystyle yz+5(y+z)=65$

$\displaystyle zx+5(z+x)=55$

I thought it would be reasonably simple to solve, however, (for me at least!) it is harder than it looks!

Could anybody help me a little here?

Thanks very much!