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| Question 83282:  Can someone please help me with this. It is probably some thing simple that I am overloking but this is beating me down. The numbers arent relavant here that's why i did not include them i am just trying to understand the correct way to write the equation in order to solve first for [Rm], I was provided with a number to reprsent 'Ra, Rf, and B'. and secondly I meed to know how to write the equation to solve for [Rf] with the known information being 'Ra, Rm,and B'. The equation i am starting out with is: So the question is how do i write the equation to solve for Rm and also for Rf using this equation as the base:
 Ra = Rf + B(Rm - Rf).
 
 Answer by stanbon(75887)
      (Show Source): 
You can put this solution on YOUR website! I meed to know how to write the equation to solve for [Rf] with the known information being 'Ra, Rm,and B'. The equation i am starting out with is: So the question is how do i write the equation to solve for Rm and also for Rf using this equation as the base: Ra = Rf + B(Rm - Rf).
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 Solving for Rm:
 Subtract Rf from both sides to get:
 Ra-Rf = B(Rm-Rf)
 Divide both sides by "B" to get:
 (Ra-Rf)/B = Rm - Rf
 Add Rf to both sides to get:
 Rm= [(Ra-Rf)/B] + Rf
 ----------------------------
 Solving for Rf:
 Ra = Rf + B(Rm - Rf)
 Ra = Rf + BRm - BRf
 Get the Rf terms together:
 Ra-BRm = Rf(1-B)
 Divide both sides by 1-B to get:
 Rf = (Ra-BRm)/(1-B)
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 Cheers,
 Stan H.
 
 
 
 
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 Is that what you wanted?
 Cheers,
 Stan H.
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