3x+y=6 x+2y-z=5 5x-3y+2z=4
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3x+y=6 x+2y-z=5 5x-3y+2z=4
![3x+y=6 x+2y-z=5 5x-3y+2z=4](/uploads/image/z/5867959-31-9.jpg?t=3x%2By%3D6+x%2B2y-z%3D5+5x-3y%2B2z%3D4)
3x+y=6 .(1)
x+2y-z=5 .(2)
5x-3y+2z=4 .(3)
解:(2)×2得
2X+4y-2Z=10.(4)
(3)+(4)得
7X+y=14.(5)
(5)-(1)得
4X=8
X=2
把X=2代入(1)得
3×2+y=6
y=0
把X=2,y=0代入(2)得
2+2×0-Z=5
Z=-3
∴原方程组的解为
X=2
y=0
z=-3
x+2y-z=5 .(2)
5x-3y+2z=4 .(3)
解:(2)×2得
2X+4y-2Z=10.(4)
(3)+(4)得
7X+y=14.(5)
(5)-(1)得
4X=8
X=2
把X=2代入(1)得
3×2+y=6
y=0
把X=2,y=0代入(2)得
2+2×0-Z=5
Z=-3
∴原方程组的解为
X=2
y=0
z=-3
x/2=y/3=z/5 x+3y-z/x-3y+z
{2x+3y-4z=-5 x+y+z=6 x-y+3z=10
2x+5y+4z=6,3x+y-7z=-4,x+y-z=?
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