How do you solve $31 = - \frac{1}{6} n$ $31=-1/6n$ ?

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Answer 1 · 2018-04-07T00:08:20

$n = - 186$ $n = -186$

Here's how I did it:

$31 = - \frac{1}{6} n$ $31 = -1/6n$

Multiply both sides by $- 6$ $-6$ :
$31 \cdot - 6 = - \frac{1}{6} \cdot - 6 n$ $31 color(red)(* -6) = -1/6 color(red)(*-6)n$

$-186 = cancel(-)1/cancel(6) * cancel(-6)n$

Rewrite neatly:
$-186 = n$

$n = -186$

Hope this helps!

Answer 2 · 2018-04-07T00:10:11

$n = -186$

We have our original equation

$31 = -1/6n$

Let's get rid of the fraction by using an operation that's the opposite of division, which is multiplication.

$6*31 = -1/cancel(6)n*cancel(6)$
$186 = -n$

Next, to isolate n, divide by a -1 to get change our -n to a positive n.

$n = -186$

~ Alex

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