\left\{ \begin sqrt{x^2 +4} +\sqrt{x^2 -2xy +y^2 +1} +\sqrt{y^2 - 6y +10} =5 \\ log_3(8xyz^3) = 10log_9(z^2) - (log_3\frac{3x^2 z}{y})^2 \ \right.