x-y-z=1 2x+y-3z=4 3x-2y-z=-1

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x-y-z=12x+y-3z=43x-2y-z=-1x-y-z=12x+y-3z=43x-2y-z=-1x-y-z=12x+y-3z=43x-2y-z=-1x-y-z=1①2x+y-3z=4②3x-2

x-y-z=1 2x+y-3z=4 3x-2y-z=-1
x-y-z=1 2x+y-3z=4 3x-2y-z=-1

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
①+②,得3x-4z=5 ④
③+②*2,得7x-7z=7,即 4x-4z=4 ⑤ x-z=1
⑤-④,得x=-1,代入z=-2
代入①,得y=0
所以:x=-1,y=0,z=-2