X+y+z=6 x(y+z)=5 y(x+z)=8 все уравнения в системе

[latex]x+y+z=6\ x(y+z)=5\ y(x+z)=8\ \ x=6-y-z\ (6-y-z)(y+z)=5\ (6-z-x)(x+z)=8\\ (y+z-3)^2=4\ (x+z-3)^2=1\ \ (6-y-z+z-3)^2=1\ y^2-6y+8=0\ y_{1}=2\ y_{2}=4\ x_{1}=5 x_{1}=1\ z_{3}=+-3\ z_{3}=+-1[/latex]