Algebra 2HardSystems of Equations

Systems of Equations · Hard problem

This is a linear system in disguise. Solve for $x$ and $y$ .

\begin{aligned} \dfrac{1}{x} + \dfrac{1}{y} = \dfrac{7}{12} \\ \dfrac{4}{x} - \dfrac{3}{y} = \dfrac{7}{12} \end{aligned}