# If y=12 when x=3, how do you find x when y=6 given y varies inversely as x?

Jun 29, 2017

$x = 6$

#### Explanation:

An inverse relation means that:

$k = y x$

Where $k$ is a constant.

In this case, we have that:

$k = \left(12\right) \left(3\right) = 36$

So we can replace K with 36.

$36 = y x$

Now, plug in $y = 6$ and solve for $x$.

$36 = \left(6\right) x$

Divide both sides by 6.

$6 = x$