# How do you solve 3/(2k+1)=2/9?

Jul 28, 2018

$k = \frac{25}{4}$

#### Explanation:

We can cross multiply to now have the equation

$3 \left(9\right) = 2 \left(2 k + 1\right)$, which simplifies to

$27 = 4 k + 2$

To get our $k$ terms on one side, let's subtract $2$ from both sides to get

$4 k = 25$

Lastly, let's divide both sides by $4$ to get

$k = \frac{25}{4}$

Hope this helps!