Algebra 2ChallengeSystems of Equations

Systems of Equations · Challenge problem

The constants $m$ and $n$ are positive and unequal. Solve for $x$ and $y$ .

\begin{aligned} \dfrac{x}{m} + \dfrac{y}{n} = 6 \\ \dfrac{x}{n} + \dfrac{y}{m} = 6 \end{aligned}