Solve: x+y+z=1,x=y,z=0x + y + z = 1, x=y, z=0x+y+z=1,x=y,z=0.
No solution
(1,1,0)(1, 1, 0)(1,1,0)
(0,0,1)(0, 0, 1)(0,0,1)
(0.5,0.5,0)(0.5, 0.5, 0)(0.5,0.5,0)