Question

http://media01.switchedononline.com/g_alg01_2011/10/574.gif

Solve for K Please. Step by Step

Answer 1

\[\huge{\frac{1}{a}=\frac{b}{a}+\frac{1}{k}}\]
transpose \(\frac{b}{a}\) to the left hand side

Answer 2

http://media01.switchedononline.com/g_alg01_2011/10/negab_aminusbtimesaplusb.gif
Here are options

Answer 3

you must get :
\[\huge{\frac{1}{a}-\frac{b}{a}=\frac{1}{k}}\]
\[\huge{\frac{1-b}{a}=\frac{1}{k}}\]

cross multiply ...

\[\huge{k(1-b)=a}\]
\[\huge{k=\frac{a}{1-b}}\]

Answer 4

http://media01.switchedononline.com/g_alg01_2011/10/ab_aminusbtimesaplusb.gif