How do I Solve for k C= k over m( 1 – k) ?

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  • Toddio
    Lv 6
    1 decade ago
    Favorite Answer

    C = k / (m(1 - k)) cross multiply

    Cm(1 - k) = k distribute LHS

    Cm - Cmk = k add Cmk to both sides

    Cm = k + Cmk factor

    Cm = k(1 + Cm) divide both sides by (1 + Cm)

    Cm / (1 + Cm) = k

    There are other methods, but they all lead to the same solution.

    hope this helps.

  • Rich Z
    Lv 7
    1 decade ago

    Divide both sides by m(1-k). That gives you C(m)(1-k)=k. Now multiply it out and you get CM-CMk=1-k. Add 1 to both sides to get

    CM-CMk=-k. Now add CMk to both sides to get CM=k+CMk.

    Factor out the k from the right hand side to get CM=k(1+CM). Now divide both sides by (1+CM) and you end up with k=CM over (1+CM).

    You need to get k all by itself on one side and these steps will do that.

  • 1 decade ago

    C= k/ m( 1 – k)

    Cm(1-k)=k

    Cm-Cmk=k

    Cm=k+Cmk

    Cm=k(1+Cm)

    k=Cm/(1+Cm).... thats all

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