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1/x+1/y=1/6 and 3/x+2/y=5/6 (HOMC 2013 J Q13)

Source:

July 28, 2019

algebrasystem of equations

Problem Statement

Solve the system of equations

\begin{cases} \frac{1}{x}+\frac{1}{y}=\frac{1}{6} \\ \frac{3}{x}+\frac{2}{y}=\frac{5}{6} \end{cases}