x+2y-z=0 2x-3z=1 3x-y+2z=4x+2y-z=02x-3z=13x-y+2z=4
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x+2y-z=0 2x-3z=1 3x-y+2z=4x+2y-z=02x-3z=13x-y+2z=4
x+2y-z=0 2x-3z=1 3x-y+2z=4
x+2y-z=0
2x-3z=1
3x-y+2z=4
x+2y-z=0 2x-3z=1 3x-y+2z=4x+2y-z=02x-3z=13x-y+2z=4
(1)+(3)×2得:
7x+3z=8 (4)
(4)+(2)得
9x=9
解得,x=1
代入(4),得到
7+3z=8
解得,z=3分之1
代入(1),得到
3分之2+2y=0
解得,y= - 3分之1
所以,方程组的解为
x=1
y= - 3分之1
z=3分之1
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2x-2y+z=0 2x+y-z=1 x+3y-2z=1
x+2y+z=3y+2x-z=0z-2y-3x=-1
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{2x-2y+z=0,2x+y-z+1,x+3y-2z=1