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Chisinau MO p15 1949-56 VIII-IX system 3x3 , xy/(x+y) = 2/5

Source:

March 15, 2021

algebrasystem of equations

Problem Statement

Solve the system of equations:

\begin{cases} \dfrac{xy}{x+y}=\dfrac{12}{5}\\ \\ \dfrac{yz}{y+z}=\dfrac{18}{5} \\ \\ \dfrac{zx}{z+y}=\dfrac{36}{13} \end{cases}