Решить уравнение[latex] \left \{ {{2 \sqrt{x+1}-3 \sqrt{y} =-1} \atop { \sqrt{x+1}+2 \sqrt{y}=3}} \right. [/latex]

[latex]u=\sqrt{x+1},\; \; v=\sqrt{y},\; \; \; \; x \geq -1,\; y \geq 0\\\\ \left \{ {{2u-3v=-1} \atop {u+2v=3|\cdot (-2)}} \right. \; ,\; \left \{ {{-7v=-7} \atop {u+2v=3}} \right. ,\; \left \{ {{v=1} \atop {u=1}} \right. \\\\\sqrt{x+1}=1,\; \; \sqrt{y}=1\\\\x+1=1,\; \; \; \; y=1\\\\x=0,\; \; \; \; y=1\\\\Otvet:(0,1).[/latex]