[74] - Algebraic Systems for and from Math Contests

Να λυθεί το σύστημα των εξισώσεων: \[ \begin{cases} \sqrt{x + 1} - \sqrt{6 - y} + 5 = 2\sqrt{6 + 5x - y^2}, \\ x^4 + 5x^2 - \sqrt{y} = y^4 - \sqrt{x + 5y^2}. \end{cases} \]