# How do you solve \frac { 6} { 7} = \frac { k - 6} { k }?

Oct 15, 2017

$k = 7$

#### Explanation:

Cross multiply the two variables.

$6 \left(k\right) = 7 \left(k - 6\right)$
$6 k = 7 k - 42$
$6 k = 42$
$k = 7$