Solve the system for (x,y,z)(x, y, z)(x,y,z):
$$x + y = 5$
y+z=7y + z = 7y+z=7
$x + z = 6$$
(2,3,4)(2, 3, 4)(2,3,4)
(1,4,3)(1, 4, 3)(1,4,3)
(3,2,5)(3, 2, 5)(3,2,5)
(2,4,3)(2, 4, 3)(2,4,3)