[66] - Algebraic Systems for and from Math Contests

Να λυθεί το σύστημα:$$\left\{ \begin{array}{l} ({x^2} + y)\sqrt {y - 2x} - 4 = 2{x^2} + 2x + y\\ {x^3} - {x^2} - y + 6 = 4\sqrt {x + 1} + 2\sqrt {y - 1} \end{array} \right. \quad (x, y \in \mathbb{R}). $$ 2023 Quang Nam Province Math Contest (Grade 11)