SOLUTION: I need help with this problem. Solve for r... R=rs/r+s please show work i am completely stumped.

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Question 248535: I need help with this problem.
Solve for r... R=rs/r+s please show work i am completely stumped.

Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
R=rs/r+s cross multiply.
R(r+s)=rs expand the left side & subtract rs.
Rr+Rs-rs=0 factor out the common term r.
r(R-s)+Rs=0 subtract Rs.
r(R-s)=-Rs divide by (R-s).
r=-Rs/(R-s) ans.