3x-2y+2z=3 2x+y-3z=11 x+y+z=12 解三元一次方
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3x-2y+2z=3 2x+y-3z=11 x+y+z=12 解三元一次方
3x-2y+2z=3 2x+y-3z=11 x+y+z=12 解三元一次方
3x-2y+2z=3 2x+y-3z=11 x+y+z=12 解三元一次方
3x-2y+2z=3 (1)
2x+y-3z=11 (2)
x+y+z=12 (3)
(1)+(2)+(3):6x=26,x=13/3 (4)
(2)-(3):x-4z=-1 (5)
(4)+(5):13/3-4z=-14,z=4/3 (6)
(4)+(5)+(3):13/3+y+4/3=12,y=19/3.
试证明(x+y-2z)+(y+z-2x)+(z+x-2y)=3(x+y-2z)(y+z-2x)(z+x-2y)
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