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Math Help - Rearrange by cross multiplication

  1. #1
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    Rearrange by cross multiplication

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

    Rearrange by cross multiplication-codecogseqn.gif

    many thanks if you can - I'm struggling
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  2. #2
    MHF Contributor
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    Re: 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)
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