SOLUTION: Solve for x in terms of y: y= 1/1-(1/1-x)

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Question 207865: Solve for x in terms of y:
y= 1/1-(1/1-x)

Answer by RAY100(1637) About Me  (Show Source):
You can put this solution on YOUR website!
y=1/{1-1/(1-x) }
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y= 1/{(1-x)-1}/(1-x),,,,,,invert and multiply
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y=1 * (1-x)/(-x)
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y=(1-x)/(-x),,,,,cross multiply
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-xy = 1-x
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x-xy=1
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x(1-y) =1
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x= 1/(1-y)
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check,,,Let x=2,,,y in original and answer = 1/2,,,,,ok
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