How do you solve #31=-1/6n#?

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Answer 1 · 2018-04-07T00:08:20

#n = -186#

Here's how I did it:

#31 = -1/6n#

Multiply both sides by #-6#:
#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