Question

Реши систему уравнений.

Answer 1

$left { {{x^{3}+y^{3}=91} atop {x+y=1}} right.\\:left { {{(x+y)(x^{2}-xy+y^{2})=91} atop {x+y=1}} right.\----------\x^{2} -xy+y^{2}=91\\left { {{y=1-x} atop {x^{2}-x*(1-x)+(1-x)^{2}=91}} right.\\left { {{y=1-x} atop {x^{2}-x+x^{2}+1-2x+x^{2}=91}} right.\\left { {{y=1-x} atop {3x^{2}-3x-90=0}} right.\\left { {{y=1-x} atop {x^{2}-x-30=0 }} right.\\left { {{y=1-x} atop {left[begin{array}{ccc}x_{1}=6 \x_{2}=-5 end{array}right }} right.$

$1)left { {{x=6} atop {y=-5}} right.\\2)left { {{x=-5} atop {y=6}} right.$