Question

Решите систему уравнений
3x+y²=7
3x-y=5

Answer 1

$\left \{ {{3x+y^{2}=7 } \atop {3x-y=5}|*(-1)} \right.\\\\+\left \{ {{3x+y^{2}=7 } \atop {-3x+y=-5}} \right.\\ -------\\y^{2}+y=2\\y^{2}+y-2=0\\y_{1}=-2\\y_{2}=1\\\\3x-y_{1}=5\\3x=5-2=3\\x_{1}=1\\\\3x-y_{2}=5\\3x=6\\x_{2}=2\\\\Otvet:\boxed{(1;-2),(2;1)}$