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MathNet 2026 — Part 07 Question 157

Math Olympiad Vault · MathNet 2026 — Part 07

Question 157

Find all ordered pairs $(x, y)$ satisfying the system
$$
\begin{aligned}
x^{2} + 4y^{2} - x y &= 10 \\
2x - 4y + 3x y &= 11
\end{aligned}
$$