# Assume that y varies inversely as x. If y = -6 when x = -2, how do you find y when x = 5?

##### 1 Answer

Apr 5, 2016

#### Answer:

At

#### Explanation:

This is a version ratios (ratios turn up all over the place).

Consider the example:

This is exactly what we have in this question.

Let

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Given condition: at

Substituting in equation (1)

Multiply both sides by 2

But

So

Thus equation (1) becomes

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

So at