Algebra 2ChallengeSystems of Equations

Systems of Equations · Challenge problem

The constants $c$ and $d$ are positive and unequal. Solve for $x$ and $y$ .

\begin{aligned} \dfrac{x}{c} + \dfrac{y}{d} = 2 \\ \dfrac{x}{d} + \dfrac{y}{c} = 2 \end{aligned}