2x+y+z=-4 (1)
x+2y+z=-2 (2)
x+y+2z=3 (3)
(1)+(2)+(3)
4x+4y+4z=-3
x+y+z=-3/4 (4)
(1)-(2),x=-13/4
(2)-(2),y=-5/4
(3)-(2),z=15/4