# How do you solve #abs(6n+1)=1/2#?

##### 1 Answer

Jun 14, 2017

#### Explanation:

**Since absolute value bars are involved, you know that the quantity #(6n+1)# *within the bars will always end up positive.***

**Therefore, #(6n+1)# can be equal to #1/2# OR #-1/2#.**

*There are two possible solutions for n.*

**You must set up and solve 2 separate equations to solve for the positive and negative versions.**

*First Equation: quantity in absolute value bars equal to #1/2#.*

*[Solve]*

*Second Equation: quantity in absolute value bars equal to*#-1/2# .

*[Solve]*

Both

*If you want to check your work, SEPARATELY substitute these solutions for #n# into the original equation, #|6n+1|=1/2#.*