Question

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

Answer 1

Answer:

$n=-\frac{5}{2}$ and $n=\frac{1}{6}$

Step-by-step 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

$n=\frac{1}{6}$

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

$n=-\frac{15}{6}$

Simplifying, we have

$n=-\frac{5}{2}$

Answer 2

Answer:

-5/2, 1/6

Step-by-step explanation:

|6n+7|=8

6n+7=8

n=1/6

6n+7=-8

n=-5/2