SOLUTION: Solve for R: 1/R = 1/S+1/T Please explain how this is solved very confused how to isolate it Thanks!

Algebra ->  Equations -> SOLUTION: Solve for R: 1/R = 1/S+1/T Please explain how this is solved very confused how to isolate it Thanks!      Log On


   

Question 947010: Solve for R:
1/R = 1/S+1/T
Please explain how this is solved very confused how to isolate it
Thanks!
Found 3 solutions by josgarithmetic, Alan3354, MathTherapy:
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Simple number properties and inverse operations chosen to isolate R.

Simple multiplication by 1:
1%2FR=%281%2FS%29%28T%2FT%29%2B%281%2FT%29%28S%2FS%29

Simple fraction skills:
1%2FR=%28T-S%29%2F%28ST%29

If you really want, multiply both sides by R:
%281%2FR%29%2AR=R%28T-S%29%2F%28ST%29

1=R%28T-S%29%2F%28ST%29

Multiply both sides by %28ST%29%2F%28T-S%29:
highlight%28%28ST%29%2F%28T-S%29=R%29

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
1/R = (S + T)/ST
R = ST/(S+T)

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Solve for R:
1/R = 1/S+1/T
Please explain how this is solved very confused how to isolate it
Thanks!


1%2FR+=+1%2FS+%2B+1%2FT

ST = RT + RS ------- Multiplying by LCD, RST

ST = R(T + S)

highlight_green%28ST%2F%28T+%2B+S%29+=+R%29