
用克拉默法则解方程组,2x+y+3z=9,3x-5y+z=-4,4x-7y+z=5
2017-10-24
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1/2x-y=1/3z
3x-6y-2z=0.(1)
x-y-1=z
x-y-z=1.(2)
4x-5y+3z=5 ...(3)
(2)*6-(1):3x-4z=6.(4)
(2)*5-(3):x-8z=0.(5)
(4)*2-(5):5x=12
x=12/5
代入(4):3*12/5-4z=6
4z=36/5-6=6/5
z=3/10
代入(2):12/5-y-3/10=1
y=12/5-3/10-1=1.1
3x-6y-2z=0.(1)
x-y-1=z
x-y-z=1.(2)
4x-5y+3z=5 ...(3)
(2)*6-(1):3x-4z=6.(4)
(2)*5-(3):x-8z=0.(5)
(4)*2-(5):5x=12
x=12/5
代入(4):3*12/5-4z=6
4z=36/5-6=6/5
z=3/10
代入(2):12/5-y-3/10=1
y=12/5-3/10-1=1.1
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