Solve the system of three equations: x+y+z=6x + y + z = 6x+y+z=6, 2y+5z=−42y + 5z = -42y+5z=−4, and 2x+5y−z=272x + 5y - z = 272x+5y−z=27.
(5,3,−2)(5, 3, -2)(5,3,−2)
(6,−2,2)(6, -2, 2)(6,−2,2)
(5,−2,3)(5, -2, 3)(5,−2,3)
(3,5,−2)(3, 5, -2)(3,5,−2)