Решите систему уравнений методом переменных под буквой а

Решите задачу:

$\left \{ {{nm=6} \atop {n+m=2}} \right. \left \{ {{(5-m)m=6} \atop {n=5-m}} \right. m^{2} -5m+6 \left \{ {{m=3} \atop {n=2}} \right. \left \{ {{m=2} \atop {n=3}} \right. \left \{ {{x+y=3} \atop {xy=2}} \right. \left \{ {{x+y=2} \atop {xy=3}} \right. \left \{ {{x=3+- \sqrt{17}}{2}} \atop {y= \frac{3+- \sqrt{17} }{2} }} \right. \left \{ {{x=2} \atop {y=2}} \right.$