SOLUTION: I need to solve these equations but I don't know how can someone explain it to me |x-3|=9 |x+4|=1 |4x-5|=11 |6x+3|=21 |x+8.5|=10.5 | x + 1/3 | = 5/3

Algebra ->  Absolute-value -> SOLUTION: I need to solve these equations but I don't know how can someone explain it to me |x-3|=9 |x+4|=1 |4x-5|=11 |6x+3|=21 |x+8.5|=10.5 | x + 1/3 | = 5/3      Log On


   

Question 910983: I need to solve these equations but I don't know how can someone explain it to me
|x-3|=9
|x+4|=1
|4x-5|=11
|6x+3|=21
|x+8.5|=10.5
| x + 1/3 | = 5/3
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
(Your list of equations was rearranged in the question-composition field so each could be seen and read clearly.)


Each of those is in almost the same format.

I pick just the last one, and you should know how to then handle the others.

abs%28x%2B1%2F3%29=5%2F3

Either x+1/3 NONZERO or x+1/3 LESS-THAN ZERO.


x+1/3>=0:
abs%28x%2B1%2F3%29=5%2F3
x%2B1%2F3=5%2F3
x=5%2F3-1%2F3
highlight%28x=4%2F3%29

x+1/3<0:
abs%28x%2B1%2F3%29=5%2F3
-x-1%2F3=5%2F3
-x=5%2F3%2B1%2F3
-x=6%2F3=2
highlight%28x=-2%29

You might want to check both of these to be sure each of them works in the original equation.