How do I Solve for k C= k over m( 1 – k) ?
- ToddioLv 61 decade agoFavorite 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 ZLv 71 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)
k=Cm/(1+Cm).... thats all