Respuesta :

Hello!

This is how you would solve for k.
m(k + n) = 1

k + n =[tex] \frac{1}{m} [/tex]

k = [tex] \frac{1}{m} [/tex] - n
The denominator is k, according to user who posted the question.
[tex]m=\frac{1}{k}+n[/tex]
We need to solve for k.

In order to solve for k, we need to isolate k, meaning
1. subtract n on both sides in order to isolate k, simplify
[tex]m=\frac{1}{k}+n[/tex]
[tex]m-n=\frac{1}{k}+n-n[/tex]
[tex]m-n=\frac{1}{k}[/tex]
2. multiply k on both sides, do not forget the parentheses,
[tex]k(m-n)=1[/tex]
3. divide by (m-n)   (do not forget the parentheses), simplify
[tex]k(m-n)/(m-n)=\frac{1}{(m-n}[/tex]
[tex]k=\frac{1}{(m-n)}[/tex]

So the final answer is
k=1/(m-n)     do not forget the parentheses.
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