SOLUTION: Solve each absolute value equation: A.) |x|-3=10 B.) |x-3|=10 C.)4|2x+1|-5=3 ----- I am getting these answer: A.) x=13 or x=-7 B.) x=-7 or x=13 C.) x=3/2 or -5/2 A and

Algebra ->  Absolute-value -> SOLUTION: Solve each absolute value equation: A.) |x|-3=10 B.) |x-3|=10 C.)4|2x+1|-5=3 ----- I am getting these answer: A.) x=13 or x=-7 B.) x=-7 or x=13 C.) x=3/2 or -5/2 A and      Log On


   



Question 176550: Solve each absolute value equation:
A.) |x|-3=10
B.) |x-3|=10
C.)4|2x+1|-5=3
-----
I am getting these answer:
A.) x=13 or x=-7
B.) x=-7 or x=13
C.) x=3/2 or -5/2
A and B seem to work, but C is not adding up.
Thank you!

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
For A, -7 is not a solution,
abs%28x%29-3=10
abs%28-7%29-3=10
7-3=10
4=10
A.)Let's do it this way,
abs%28x%29-3=10
abs%28x%29=13
Absolute value problems are really two problems in one: positive and negative becauseabs%28z%29=z when z%3E=0
abs%28z%29=-z when z%3C0
.
.
.
abs%28x%29=13
Positive solution
x=13
Negative solution
-x=13
x=-13
.
.
.
B.) Good answers.
.
.
.
C.)4%2Aabs%282x%2B1%29-5=3
4%2Aabs%282x%2B1%29=8
abs%282x%2B1%29=2
Positive solution
2x%2B1=2
2x=1
x=1%2F2
Negative solution
-%282x%2B1%29=2
2x%2B1=-2
2x=-3
x=-3%2F2