x+2y=3x+2z=4y+z 求x:y:z
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x+2y=3x+2z=4y+z求x:y:zx+2y=3x+2z=4y+z求x:y:zx+2y=3x+2z=4y+z求x:y:zx+2y=3x+2z得y=x+z代入x+2y=4y+z得x+2x+2z=4
x+2y=3x+2z=4y+z 求x:y:z
x+2y=3x+2z=4y+z 求x:y:z
x+2y=3x+2z=4y+z 求x:y:z
x+2y=3x+2z得y=x+z
代入x+2y=4y+z 得
x+2x+2z=4x+4z+z
x=-3z代入y=x+z
得y=-3z+z=-2z
x:y:z=-3z:-2z:z=-3:-2:1
设x+2y=3x+2z=4y+z=1
可得:x=3/7, y=2/7, z=-1/7
所以 x:y:z=3:2:-1
-3:-2:1
3:2:-1
3:2:-1
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