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3x2 non linear system (V Soros Olympiad 1998-99 Round 3 9.3)

Source:

May 25, 2024

algebrasystem of equations

Problem Statement

Solve the system of equations:

\frac{x-1}{xy-3}=\frac{y-2}{xy-4}=\frac{3-x-y}{7-x^2-y^2}