Suggestion

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?