已知:xy/x+y = 1,yz/y+z =2,求证1/x - 1/z = 1/2/代表分数线.

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已知:xy/x+y = 1,yz/y+z =2,求证1/x - 1/z = 1/2/代表分数线.
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已知:xy/x+y = 1,yz/y+z =2,求证1/x - 1/z = 1/2/代表分数线.
已知:xy/x+y = 1,yz/y+z =2,求证1/x - 1/z = 1/2
/代表分数线.

已知:xy/x+y = 1,yz/y+z =2,求证1/x - 1/z = 1/2/代表分数线.
xy/(x+y )=1
(x+y)/xy=1
1/x+1/y=1
yz/(y+z)=2
(y+z)/yz=1/2
1/y+1/z=1/2
1/y=1/2-1/z
代入到1/x+1/y=1式中:
1/x+1/2-1/z=1
1/x - 1/z = 1/2