若x+2y-4z=0 3x+y-z=0 求x:y:z

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若x+2y-4z=0 3x+y-z=0 求x:y:z
若x+2y-4z=0 3x+y-z=0 求x:y:z

若x+2y-4z=0 3x+y-z=0 求x:y:z
①x+2y-4z=0
②3x+y-z=0
①-2②
x-6x-4z+2z=0
5x=2z 代入①
z=5x/2
x+2y-10x=0
2y=9x
y=9x/2
x:y:z=1:9/2:5/2=2:9:5

x+2y-4z=0→4z=x+2y }
} →x+2y=12x+4y→11x=-2y→x:y=-2:11 }
3x+y-z=0→z=3x+y→4z=12x+4y } ...

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x+2y-4z=0→4z=x+2y }
} →x+2y=12x+4y→11x=-2y→x:y=-2:11 }
3x+y-z=0→z=3x+y→4z=12x+4y } } →x:y:z=-2:11:5
x+2y-4z=0→x=4z-2y→3x=12z-6y } }
} →12z-6y=z-y→11z=5y→y:z=11:5 }
3x+y-z=0→3x=z-y }

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