Algebra 2ChallengeSystems of Equations

Systems of Equations · Challenge problem

The constants $a$ and $b$ are positive and unequal. Solve for $x$ and $y$ .

\begin{aligned} \dfrac{x}{a} + \dfrac{y}{b} = 1 \\ \dfrac{x}{b} + \dfrac{y}{a} = 1 \end{aligned}