MathCastle
Algebra 2ChallengeSystems of Equations

Systems of Equations · Challenge problem

The constants pp and qq are positive and unequal. Solve for xx and yy.

xp+yq=4xq+yp=4\begin{aligned} \dfrac{x}{p} + \dfrac{y}{q} = 4 \\ \dfrac{x}{q} + \dfrac{y}{p} = 4 \end{aligned}