Помогите решить систему уравнений

Решите задачу:

$\left \{ {{\sqrt[3]{x}-\sqrt[3]{y}=2} \atop {xy=27}} \right. \; \; \; u=\sqrt[3]{x}\; ,\; \; v=\sqrt[3]{y}\; \; \; \left \{ {{u-v=2} \atop {u^3v^3=27}} \right. \; \left \{ {{u-v=2} \atop {(uv)^3=27}} \right. \\\\ \left \{ {{u=v+2} \atop {uv=3}} \right. \; \left \{ {{u=v+2} \atop {(v+2)v=3}} \right. \; \left \{ {{u=v+2} \atop {v^2+2v-3=0}} \right. \; \left \{ {{u_1=-1,\; u_2=3} \atop {v_1=-3,\; v_2=1}} \right. \\\\ \left \{ {{\sqrt[3]{x}=-1} \atop {\sqrt[3]{y}=-3}} \right. \; \; \; ili\; \; \; \left \{ {{\sqrt[3]{x}=3} \atop {\sqrt[3]{y}=1}} \right.$

$\left \{ {{x=-1} \atop {y=-27}} \right. \; \; \; ili\; \; \; \left \{ {{x=27} \atop {y=1}} \right. \\\\Otvet:\; \; (-1,-27)\; ,\; \; (27,1)\; .$