解方程组X+Y-Z=6 X-3Y+2Z=1 3X+2Y-Z=4
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解方程组X+Y-Z=6 X-3Y+2Z=1 3X+2Y-Z=4
![解方程组X+Y-Z=6 X-3Y+2Z=1 3X+2Y-Z=4](/uploads/image/z/2241395-35-5.jpg?t=%E8%A7%A3%E6%96%B9%E7%A8%8B%E7%BB%84X%2BY-Z%3D6+X-3Y%2B2Z%3D1+3X%2B2Y-Z%3D4)
X+Y-Z=6 (1)
X-3Y+2Z=1 (2)
3X+2Y-Z=4(3)
(1)×2+(2)得 3x-y=13(4)
(3)-(1)得 2x+y=-2(5)
(4)+(5)得 5x=11
x=2.2
代入(5)得 4.4+y=-2
y=-6.4
x=2.2,y=-6.4代入(1)得
2.2-6.4-z=6
z=-10.2
∴﹛x=2.2,y=-6.4, z=-10.2是原方程组的解
X-3Y+2Z=1 (2)
3X+2Y-Z=4(3)
(1)×2+(2)得 3x-y=13(4)
(3)-(1)得 2x+y=-2(5)
(4)+(5)得 5x=11
x=2.2
代入(5)得 4.4+y=-2
y=-6.4
x=2.2,y=-6.4代入(1)得
2.2-6.4-z=6
z=-10.2
∴﹛x=2.2,y=-6.4, z=-10.2是原方程组的解
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