Find the values of \(x\) and \(y\) which satisfy the simultaneous equations
\[\begin{gather*}
2x + 3y = 1,\\
\frac{2}{x} + \frac{3}{y} = 1.
\end{gather*}\]

We have simultaneous equations here; what methods do we know for solving them in general? Which method is most appropriate in this case?