# How do you solve 2/7q=-4?

Jul 2, 2017

q = -14

#### Explanation:

To solve this problem, you need to isolate the variable, which in this case is $\textcolor{red}{q}$.

I like to think of it like $\textcolor{red}{q}$ is very snobby, and wants to be alone by himself.

As you can see, in the Problem, q is stuck on the same side as $\frac{2}{7}$, and he really doesn't like that. So we need to cancel it out somehow. And to do this we will use reciprocals.

What exactly is a reciprocal? Well reciprocals are basically the exact opposite of a fraction, because they are flipped over. See, when you multiply any fraction with its reciprocal, or opposite, then they cancel out and make 1. For example, the fraction $\frac{3}{4}$'s reciprocal would be $\frac{4}{3}$, and $\frac{3}{4}$ x $\frac{4}{3}$ = 1. So the reciprocal of $\frac{2}{7}$ is $\frac{7}{2}$ and we multiply the whole equation by $\frac{7}{2}$.
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