# How do you solve 9/k - 7 = 6/k?

Jan 23, 2016

$k = \frac{3}{7}$

#### Explanation:

Collect variable terms to 'left hand side' of equation.

ie $\frac{9}{k} - \frac{6}{k} = 7$

( the fraction has a common denominator so subtract numerators )

$\frac{3}{k} = \frac{7}{1}$

'cross multiply' to obtain 7k = 3

(divide both sides by 7 )

$\frac{\cancel{7} k}{\cancel{7}} = \frac{3}{7} \Rightarrow k = \frac{3}{7}$