#### Answer

$y=2$

#### Work Step by Step

To find out the solution we need to follow the 3-step procedure,
Step (1): As $y$ varies inversely as $x$, we have
$y=\frac{k}{x}$
Here $k$ is a constant.
Step (2):
Substitute $x=3$ and $y=6$ in $y=\frac{k}{x}$ to get the value of k.
$\begin{align}
& 6=\frac{k}{3} \\
& 18=k \\
& k=18 \\
\end{align}$
Step (3): Substitute $k=18$ and x = 9 in $y=\frac{k}{x}$ to get:
$\begin{align}
& y=\frac{18}{9} \\
& y=2 \\
\end{align}$