MathCastle
Algebra 2ChallengeSystems of Equations

Systems of Equations · Challenge problem

The constants gg and hh are positive and unequal. Solve for xx and yy.

xg+yh=3xh+yg=3\begin{aligned} \dfrac{x}{g} + \dfrac{y}{h} = 3 \\ \dfrac{x}{h} + \dfrac{y}{g} = 3 \end{aligned}