Algebra 2ChallengeSystems of Equations

Systems of Equations · Challenge problem

The constants $p$ and $q$ are positive and unequal. Solve for $x$ and $y$ .

\begin{aligned} \dfrac{x}{p} + \dfrac{y}{q} = 1 \\ \dfrac{x}{q} + \dfrac{y}{p} = 1 \end{aligned}