x+y+z=0 (1) 2x-y+z=-15 (2) x+2y-z=40 (3) (1)+(3) 2x+3y=40 (4) (2)+(3) 3x+y=25 (5) (5)*3-(4) 7x=35 得x=5 再将x=5代入(5)得y=10 然后将x=5,y=10代入(1)得z=-15