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MathNet 2007-part-03 — 185 problems (EN–VI) Question 180

Math Olympiad Vault · MathNet 2007-part-03 — 185 problems (EN–VI)

Question 180

Solve the equation system
$$
\begin{cases} 1 - \dfrac{12}{y+3x} = \dfrac{2}{\sqrt{x}} \\[2mm] 1 + \dfrac{12}{y+3x} = \dfrac{6}{\sqrt{y}} \end{cases}
$$