# If y varies inversely as x. When x = 6, y = 2. How do you find x when y = 12?

Apr 2, 2018

$x = 1$

#### Explanation:

If $y$ is inversely proportional to $x$, then we get: $x y = k$, where $k$ is a constant

So here,

$k = 6 \cdot 2$

$= 12$

And so, $k = \frac{y}{x}$

Therefore,

$12 = \frac{12}{x}$

$x = 1$