Система уравнении x^3-y^3=7;x-y=1

[latex] \left \{ {{x^3-y^3=7} \atop {x-y=1}} \right. \; \left \{ {{(x-y)(x^2+xy+y^2)=7} \atop {x-y=1}} \right. \; \left \{ {{x^2+xy+y^2=7} \atop {x-y=1}} \right. \; \left \{ {{(x-y)^2+3xy=7} \atop {x-y=1}} \right. \\\\ \left \{ {{3xy=6} \atop {x-y=1}} \right. \; \left \{ {{xy=2} \atop {y=x-1}} \right. \; \left \{ {{x(x-1)=2} \atop {y=x-1}} \right. \; \left \{ {{x^2-x-2=0} \atop {y=x-1}} \right. \; \left \{ {{x_1=-1,\; x_2=2} \atop {y_1=-2,\; y_2=1}} \right. \\\\Otvet:\; (-1,-2),\; (2,1).[/latex]