Algebra 2ChallengeSystems of Equations

Systems of Equations · Challenge problem

The constants $u$ and $v$ are positive and unequal. Solve for $x$ and $y$ .

\begin{aligned} \dfrac{x}{u} + \dfrac{y}{v} = 1 \\ \dfrac{x}{v} + \dfrac{y}{u} = 1 \end{aligned}