x-y+2z=6 y-z+2x=14 z-x+2y=4

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x-y+2z=6y-z+2x=14z-x+2y=4x-y+2z=6y-z+2x=14z-x+2y=4x-y+2z=6y-z+2x=14z-x+2y=4(1)+(3)得y+3z=10(4)(2)+(3)

x-y+2z=6 y-z+2x=14 z-x+2y=4
x-y+2z=6 y-z+2x=14 z-x+2y=4

x-y+2z=6 y-z+2x=14 z-x+2y=4
(1)+(3)得
y+3z=10 (4)
(2)+(3)×2得
4y+z=22 (5)
(5)×3-(4)得
11y=56
∴y=56/11
把y=56/11代入(4)得
56/11+3z=10
z=18/11
把y=56/11,z=18/11代入(1)得
x-56/11+36/11=6
x=86/11