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MathNet 2026 — Part 03 Question 169

Math Olympiad Vault · MathNet 2026 — Part 03

Question 169

Encontrar todas la soluciones $(x, y)$ reales del sistema de ecuaciones
$$
\left.\begin{array}{c}
x^{2}-x y+y^{2}=7 \\
x^{2} y+x y^{2}=-2
\end{array}\right\}
$$