i cant figure out how to transpose this equation can any one help???? please

**rich1979** · July 4th 2012, 07:15 AM

transpose the following equation to make V the subject

F=UV/U+V

It seems easy but i am really struggling!!

**daigo** · July 4th 2012, 07:23 AM

$F = \frac{UV}{U+V}$

Multiply both sides by (U + V)

$F(U+V) = UV$

Expand

$FU + FV = UV$

Subtract FV from both sides

$FU = UV - FV$

Factor out the 'V'

$FU = V(U - F)$

Divide both sides by (U - F) to get 'V' on its own

$\frac{FU}{U - F} = V$

**rich1979** · July 4th 2012, 08:19 AM

thank you i got FU=UV-FV but completely forgot about factoring V
hopefully i will remember thin in future!!

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i cant figure out how to transpose this equation can any one help???? please

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