解三元一次方程组,x-y-z=1,2x+y-3z=4,3x-2y-z=-1

问题描述:

解三元一次方程组,x-y-z=1,2x+y-3z=4,3x-2y-z=-1

x-y-z=1(1),2x+y-3z=4,(2)3x-2y-z=-1(3)
(3)-(1)得2x-y=-2 (4)
(2)-3(3)得:-x+y=1 (5)
有(4)(5)得x=-1,代入(5)得y=0,再代入(1)得z=-2