SOLUTION: I am working on a chapter on equations with absolute value. I am getting fustrated with this one problem...please help. 3+/4t-1/=8 I have come up with one of the answers as

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Question 167745This question is from textbook
: I am working on a chapter on equations with absolute value. I am getting fustrated with this one problem...please help.
3+/4t-1/=8
I have come up with one of the answers as being 3/2 but the other answer I am not getting. The book has the other answer being -1 and I am coming up with
-5/2.This question is from textbook

Answer by jim_thompson5910(21685) About Me  (Show Source):
You can put this solution on YOUR website!
3%2Babs%284t-1%29=8 Start with the given equation


abs%284t-1%29=5 Subtract 3 from both sides.


Break up the absolute value (remember, if you have abs%28x%29=a, then x=-a or x=a)

4t-1=-5 or 4t-1=5 Set the expression 4t-1 equal to the original value 5 and it's opposite -5




Now lets focus on the first equation 4t-1=-5


4t=-5%2B1Add 1 to both sides


4t=-4 Combine like terms on the right side


t=%28-4%29%2F%284%29 Divide both sides by 4 to isolate t



t=-1 Divide






Now lets focus on the second equation 4t-1=5



4t=5%2B1Add 1 to both sides


4t=6 Combine like terms on the right side


t=%286%29%2F%284%29 Divide both sides by 4 to isolate t



t=3%2F2 Reduce




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Answer:


So the solutions are:

x=-1 and x=3%2F2