Question

Solve for n:
1-5|n-9|=-74

I need answer by 12:10, please help!!!

Answer 1

`n=-6, 24`

Explanation:

We are given:

`1-5|n-9|=-74`

Subtract 1 from both sides:

`-5|n-9|=-75`

Divide both sides by -5:

`|n-9|=15`

By definition of absolute value:

`(n-9)=15\text{ or } -(n-9)=15`

Solve for each case:

`n=24\text{ or } n=-15+9=-6`

Therefore, our two solutions are:

`n=-6, 24`