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

Aug 10, 2016

$k = - 14$

#### Explanation:

If an equation has ONE term on each side of the equal sign and there are fractions, then we may cross-multiply. This gets rid of the fractions.

$\frac{\textcolor{red}{9}}{\textcolor{b l u e}{\left(k - 7\right)}} = \frac{\textcolor{b l u e}{6}}{\textcolor{red}{k}}$

color(red)(9xx k) = color(blue)(6xx(k-7)

$9 k = 6 k - 42$

$9 k - 6 k = - 42$

$3 k = - 42$

$k = - 14$