Can anyone show me how to rearrange this formula for T by cross multiplication (or other means)

Attachment 23656

many thanks if you can - I'm struggling

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- Apr 19th 2012, 09:19 AMstraasRearrange by cross multiplication
Can anyone show me how to rearrange this formula for T by cross multiplication (or other means)

Attachment 23656

many thanks if you can - I'm struggling - Apr 19th 2012, 12:42 PMWilmerRe: Rearrange by cross multiplication
Rearranging/renaming terms (too bulky for me!):

F = [Ac + b(Wd - U - Ve + Tf)] / (We + Vd + Tg)

Cross multiply (means F * denominator = numerator):

FWe + FVd + TFg = Ac + b(Wd - U - Ve + Tf)

Expand right side:

FWe + FVd + TFg = Ac + Wbd - Ub - Vbe + Tbf

Bring T's together:

TFg - Tbf = Ac + Wbd - Ub - Vbe - FWe - FVd

Factor left side:

T(Fg - bf) = Ac + Wbd - Ub - Vbe - FWe - FVd

Wrap up:

T = (Ac + Wbd - Ub - Vbe - FWe - FVd) / (Fg - bf)