SOLUTION: Please help me solve these absolute value problems.I get confused with fractions. 1) |a-4|=5/3 2)|x/3-1| = |1-x/3|

Algebra ->  Algebra  -> Absolute-value -> SOLUTION: Please help me solve these absolute value problems.I get confused with fractions. 1) |a-4|=5/3 2)|x/3-1| = |1-x/3|       Log On

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Question 50597This question is from textbook intermediate algebra
: Please help me solve these absolute value problems.I get confused with fractions.
1) |a-4|=5/3

2)|x/3-1| = |1-x/3|
This question is from textbook intermediate algebra

Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
1)
|a - 4| = 5/3
a - 4 = 5/3 and a - 4 = -5/3
3a - 12 = 5 and 3a - 12 = -5
3a = 17 and 3a = 7
a = 17/3 = 5 2/3 and a = 7/3 = 2 1/3
graph%28300%2C300%2C-4%2C6%2C-5%2C5%2Csqrt%28%28x-4%29%5E2%29%2C5%2F3%29
2)
|x/3 - 1| = |1 - x/3|
x/3 - 1 = 1 - x/3 and x/3 - 1 = -1 + x/3
x - 3 = 3 - x and x - 3 = -3 + x
2x = 6 and -3 = -3
-3 = -3
all real values
graph%28300%2C300%2C-5%2C5%2C-5%2C5%2Csqrt%28%28x%2F3-1%29%5E2%29%29graph%28300%2C300%2C-5%2C5%2C-5%2C5%2Csqrt%28%281-x%2F3%29%5E2%29%29