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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=1xh+yg=1\begin{aligned} \dfrac{x}{g} + \dfrac{y}{h} = 1 \\ \dfrac{x}{h} + \dfrac{y}{g} = 1 \end{aligned}