Suggestion

Solve the simultaneous equations \[\begin{align*} 3x^2-13xy+9y^2&=15, \\ 7x^2-5y^2+17&=0. \end{align*}\]

Can we rearrange one of these equations to find an expression for \(x\) or \(y\)? Or for \(x^2\) or \(y^2\)?