Question

$left { {{ x^{2}- xy+ y^{2} =63} atop {x+y=-3}} right.$

Помогите решить систему уравнения

Answer 1

$left { {{ x^{2}- xy+ y^{2} =63} atop {x+y=-3}} right. \ left { {{ x^{2}- xy+ y^{2} =63} atop {x=-3-y}} right. \ left { {{ (-3-y)^{2}- (-3-y)y+ y^{2} =63} atop {x=-3-y}} right. \ left { {{ 9+6y+y^2+3y+y^2+ y^{2} =63} atop {x=-3-y}} right. \ left { {{ 3y^2+9y+9 =63} atop {x=-3-y}} right. \ left { {{ 3y^2+9y-54=0} atop {x=-3-x}} right. \ left { {{ y^2+3y-18=0} atop {x=-3-y}} right. \ \ y^2+3y-18=0 \ y_1+y_2=-3 \ y_1y_2=-18 \ y_1=-6 \ y_2=3$


$begin{cases}y_1=3\ y_2=-6\ x=-3-yend{cases} \ begin{cases}y_1=3\ y_2=-6\ x_1=-3-3 \ x_2=-3-(-6)end{cases} \ begin{cases}y_1=3\ y_2=-6\ x_1=-6 \ x_2=3end{cases}$

Ответ: х=3 у=-6 и х= -6 у=3