x+2y-z=-5 x+y+2z=-1 3x+4y-2z=-12x+2y-z=3 2x+y+3z=0 4x+z=-4
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x+2y-z=-5 x+y+2z=-1 3x+4y-2z=-12x+2y-z=3 2x+y+3z=0 4x+z=-4
x+2y-z=-5 x+y+2z=-1 3x+4y-2z=-12
x+2y-z=3 2x+y+3z=0 4x+z=-4
x+2y-z=-5 x+y+2z=-1 3x+4y-2z=-12x+2y-z=3 2x+y+3z=0 4x+z=-4
x+2y-z=-5 (1)
x+y+2z=-1 (2)
3x+4y-2z=-12 (3)
(1)×2+(2)
3x+5y=-11 (4)
(2)+(3)
4x+5y=-13 (5)
(5)-(4)
x=-2
y=(-13-4x)/5=-1
z=x+2y+5=1
x+2y-z=-5 (1)
x+y+2z=-1 (2)
3x+4y-2z=-12 (3)
将(1)×2得 :2x+4y-2z=-10 (4)
(2)+(4)得:3x+5y=-11 (5)
(3)-(4)得:x=-2
将x=-2代入(5)得 y=-1
将x=-2, y=-1代入(2)得:z=1
所以由x=-2, y=-1,z=1。
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x+2y+z=1 x+y+2z=2 2x+y+z=5
5x+y+z=1 2x-y+2z=1 x+5y-z=4
x-y+z=-1 5x+2y-z=6 4x-3y+2z=-5
3x-y+2z=-1 4x+y+z=5 x-2y-z=-2