3x-y+z=3 2x+y-3z=11 x+y+z=12

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3x-y+z=3 2x+y-3z=11 x+y+z=12

3x-y+z=3 2x+y-3z=11 x+y+z=12
3x-y+z=3 2x+y-3z=11 x+y+z=12

3x-y+z=3 2x+y-3z=11 x+y+z=12
3x-y+z=3 (1)
2x+y-3z=11 (2)
x+y+z=12 (3)
(1)+(3)
4x+2z=15 (4)
(2)-(3)
x-4z=-1 (5)
(4)*2+(5)
9x=29
x=29/9
x=29/9代入(5)
29/9-4z=-1
z=19/18
y=139/18
x=29/9,y=139/18,z=19/18

3x-y+z=3,①
2x+y-3z=11,②
x+y+z=12 ③
①+②,得5x-2z=14 ④
①+③,得4x+2z=15 ⑤
④+⑤,得9x=29,则x=29/9
代入④,解得z=19/18
代入③,解得y=193/18