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MathNet 2017-part-06 — 176 problems (EN–VI) Question 67

Math Olympiad Vault · MathNet 2017-part-06 — 176 problems (EN–VI)

Question 67

Solve the system of equations
$$
\begin{aligned}
\sqrt{2 x-3 y} &= \sqrt{x^{2}+4 y-1} \quad \text{and} \\
\sqrt{x-y+2}+2 &= x
\end{aligned}
$$