Solve: x+y+z=1x + y + z = 1x+y+z=1 and x=y=zx = y = zx=y=z.
(1/3,1/3,1/3)(1/3, 1/3, 1/3)(1/3,1/3,1/3)
(1,1,1)(1, 1, 1)(1,1,1)
(0,0,1)(0, 0, 1)(0,0,1)
No solution