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Vietnamese Olympiad national 2007, problem 1

Source:

February 8, 2007
algebrasystem of equationsalgebra unsolved

Problem Statement

Solve the system of equations: \{\begin{array}{l}(1+\frac{12}{3x+y}).\sqrt{x}=2\$1-\frac{12}{3x+y}).\sqrt{y}=6\end{array}$