Question

решите систем управнение​

Answer 1

$\left \{ {{x^{3} +y^{3} =35} \atop {x+y=5}} \right.\\\\\left \{ {{(x+y)(x^{2}-xy+y^{2})=35} \atop {x+y=5}} \right.\\\\\left \{ {{5*(x^{2}-xy+y^{2})=35} \atop {x+y=5}} \right.\\\\\left \{ {{x^{2}-xy+y^{2}=7} \atop {y=5-x}} \right.\\\\\left \{ {{x^{2}-x*(5-x)+(5-x)^{2}=7} \atop {y=5-x}} \right.\\\\\left \{ {{x^{2}-5x+x^{2}+25-10x+x^{2}=7} \atop {y=5-x}} \right.\\\\\left \{ {{3x^{2}-15x+18=0 } \atop {y=5-x}} \right.\\\\\left \{ {{x^{2}-5x+6=0 } \atop {y=5-x}} \right.$

$\left \{ {{\left[\begin{array}{ccc}x_{1}=2 \\x_{2}=3 \end{array}\right } \atop {y=5-x}} \right. \\\\\\\left[\begin{array}{ccc}\left \{ {{x_{1}=2 } \atop {y_{1} =3}} \right. \\\left \{ {{x_{2}=3 } \atop {y_{2}=2 }} \right. \\\end{array}\right\\\\Otvet:\boxed{(2 \ ; \ 3) \ , \ (3 \ ; \ 2)}$