SOLUTION: how do you do this problem about absolute value?: 5|3x-4|=x+1

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Question 488000: how do you do this problem about absolute value?: 5|3x-4|=x+1
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
5abs%283x-4%29+=+x%2B1

Divide both sides by 5

abs%283x-4%29+=+%28x%2B1%29%2F5

Break into two equations because there are two cases,

1. what's between the absolute value bars could equal the right side
2. what's between the absolute value bars could equal the negative of
the opposite side.


   3x-4 = (x+1)/5       3x-4 = -(x+1)/5
5(3x-4) = x+1        5(3x-4) = -(x+1)
 15x-20 = x+1         15x-20 = -x-1
    14x = 21             16x = 19
      x = 21/14            x = 19/16
      x = 3/2


Two solutions:  3/2 and 19/16

Edwin