SOLUTION: Suppose f = ((t-s)/(s/(n-2))) and p = ((t-s)/t) Express f as a function of p and n

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Question 1066753: Suppose f = ((t-s)/(s/(n-2))) and p = ((t-s)/t)
Express f as a function of p and n
Answer by josgarithmetic(39623) About Me  (Show Source):
You can put this solution on YOUR website!
Solve the p equation for s and substitute for s in the f equation.

Can you think of ANOTHER way?


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pt=t-s
pt-t=-s
t%28p-1%29=-s
s=t%281-p%29
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try one more step to solve for t.
t=s%2F%281-p%29
Substitute this into the f equation.
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f=%28t-s%29%2F%28s%2F%28n-2%29%29
f=%28t-s%29%28n-2%29%2Fs
f=%28%28s%2F%281-p%29-s%29%29%28n-2%29%2Fs
Continue to simplify this, and you will have f in terms of p, n, and s.
The remaining steps not shown here, give a result:
highlight%28f=%28pn-2p%29%2F%281-p%29%29