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

Question

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

Answer 1

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.

Answer 2

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

Answer 3

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.