Question

Please help!!! what is x: |6n+7|=8

Answer 1

-5/2, 1/6

Explanation:

|6n+7|=8

6n+7=8

n=1/6

6n+7=-8

n=-5/2

Answer 2

`n=-(5)/(2)` and
`n=(1)/(6)`

Explanation:

There is no x variable present in the question, but if you are asking for the value of n, I can help with that.

The absolute value function always results in a positive number, so that means 6n+7 can equal 8 or negative 8, and the absolute value function takes care of the rest. First, we will solve for 6n + 7 equaling 8.

`6n+7=8`

Subtracting 7 from both sides gets us

`6n=1`

Dividing by 6 from both sides is equal to

`n=(1)/(6)`

Now we will solve for 6n + 7 equaling negative 8.

`6n+7=-8`

Subtracting 7 from both sides is equal to

`6n=-15`

Dividing by 6 from both sides gets us

`n=-(15)/(6)`

Simplifying, we have

`n=-(5)/(2)`