Решите систему : у+ху+3у=-3 2х-ху+у=2

[latex]x+xy+3y=-3 [/latex] [latex]2x-xy-y=2 [/latex] Решаем: [latex]3x+2y=1[/latex] [latex]3x=1-2y[/latex] [latex]x=(1-2y):3[/latex] [latex]x+xy+3y=3[/latex] [latex](1-2y):3 + y*(1-2y):3 +3y =3 [/latex] [latex]1-2y + y*(1-2y) +9y =9[/latex] [latex]1-2y + y - 2y ^{2} +9y =9[/latex] [latex]-2y ^{2} +8y-8=0 I :(-2)[/latex] [latex] y^{2} -4y+4=0[/latex] [latex](y-2) ^{2} =0[/latex] [latex]y-2=0[/latex] [latex]y=2[/latex] [latex]x=(1-2*2):3=-1[/latex] Ответ:[latex](1 ; -2 )[/latex]