x+y+z=4
2xy-z^2=16
z=4-(x+y)
2xy-16+8(x+y)-(x+y)^2=16
2xy-16+8(x+y)-x^2-2xy-y^2=16
-x^2-y^2+8(x+y)=32
(-x^2+8x-16)+(-y^2+8y-16)=0
-(x-4)^2-(y-4)^2=0
-(x-4)^2=(y-4)^2
x-4=0
y-4=0
x=4
y=4
z=-4
x+y+2z=0
3x^2+x=0
x(3x+1)=0
x=0 или 3x+1=0
x=0 или x=-1/3
2/х-3/х=1
2-3/х=1
-1/х=1
х=-1