Solve: |2n - 3| = 5

{-1, 4}

{-1, 1}

{1, -4}

Question

Solve: |2n - 3| = 5
 
		
{-1, 4}
 		
 		
{-1, 1}
 		
{1, -4}

angela210793 · Answer

Halo what don't you try solving this yourself first???

anonymous · Answer

because i dont understand how to do these...

hero · Answer

In general: 

|ax + b| = c becomes: 
ax + b = -c and ax + b = c

In this case, 
|2n - 3| = 5 becomes:
2n - 3 = -5 and 2n - 3 = 5

Solve for n:
2n = -5 + 3
2n = 5 + 3

2n = -2
2n = 8

n = -2/2
n = 8/2

n = -1
n = 4

anonymous · Answer

Absolute values always have two cases.  The positive and negative cases here are$$2n - 3 = 5\rightarrow 2n=8\rightarrow n=4$$$$2n-3=-5\rightarrow 2n=-2\rightarrow n=-1$$So your two solutions are n=-1 and n=4

anonymous · Answer

I guess I need to type faster.

hero · Answer

Why?

anonymous · Answer

thank you both :) lol couldu guys possibly help with my next question.. its the last one i reall am not understanding thesee.. algebra hates me D: