# If y varies inversely as x and If y = -32 when x = 2, what is x when y = 4?

Aug 25, 2016

$x = - 16$

#### Explanation:

When $y$ varies inversely as $x$, we have $y \propto \frac{1}{x}$ i.e. y=1/x×k, where $k$ is a constant.

In other words, this means $x y = k$.

Now as $y = - 32$ when $x = 2$, we have 32×(-2)=k or $k = - 64$ i.e. $x y = - 64$.

So when $y = 4$, $x = - \frac{64}{4} = - 16$.