SOLUTION: 2|B+4|=48 I know I need 2 answers I got the first one 2|B+4|=48 -4 -4 __________ 2|b|=44 __ __ 2 2 |b|=22 and now I forgot how to get the 2nd part, if im ri

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Question 96161This question is from textbook Algebra 2
: 2|B+4|=48
I know I need 2 answers I got the first one
2|B+4|=48
-4 -4
__________
2|b|=44
__ __
2 2
|b|=22
and now I forgot how to get the 2nd part, if im right, which i doubt then since i subtracted 4 now i add 4, and get 52? is that right.. please help me understand how to get the 2nd answer! This question is from textbook Algebra 2

Found 2 solutions by stanbon, jim_thompson5910:
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
2|B+4|=48
Divide both sides by 2 to get:
|B+4| = 24
B+4 = 24 or B+4=-24
B = 20 or B = -28
==================
cheers,
Stan H.

Answer by jim_thompson5910(35256) (Show Source):
You can put this solution on YOUR website!
Start with the given equation

Divide both sides by 2 (note: you don't subtract 4 from both sides first. You cannot do this since 4 is inside the absolute value brackets, which are like parenthesis)

Break up the absolute value

or Set equal to 24 and -24

or Subtract 4 from both sides for each equation

So our answer is:

or

Check:

Let's check the answer

Start with the given equation

Plug in

Add

Take the absolute value of 24 to get 24

Multiply. Since the two sides of the equation are equal, this verifies our answer.

Let's check the answer

Start with the given equation

Plug in

Add

Take the absolute value of -24 to get 24

Multiply. Since the two sides of the equation are equal, this verifies our answer.