Mathematics

Problem

Solve the rational-coefficient system of equations for the ordered pair

(x, y)

\begin{cases} \frac{8x + 2y}{xy} = 4 \\ \frac{17x + 5y}{xy} = 16 \end{cases}

Hint: Rewrite each equation by splitting the fraction. Then let

u = \frac{1}{x}

and

v = \frac{1}{y}