SOLUTION: Hi, I have an absolute value problem. I tried solving it like a regular equation, but when I check it it is wrong. The problem is 6|5x+45|-113=7. Thanks in advance.

Algebra ->  Absolute-value -> SOLUTION: Hi, I have an absolute value problem. I tried solving it like a regular equation, but when I check it it is wrong. The problem is 6|5x+45|-113=7. Thanks in advance.      Log On


   



Question 221656: Hi, I have an absolute value problem. I tried solving it like a regular equation, but when I check it it is wrong. The problem is 6|5x+45|-113=7.
Thanks in advance.

Found 3 solutions by stanbon, sofiyac, drj:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
6|5x+45|-113=7
6|5x+45| = 120
|5x+45| = 20
5x+45 = 20 or 5x+45 = -20
5x = -25 or 5x = -65
x = -5 or x = -13
-------------------------
Cheers,
Stan H.

Answer by sofiyac(983) About Me  (Show Source):
You can put this solution on YOUR website!
ok, so when you have an absolute value problem you have to consider two cases (one regular one and the other one with the negative in front of the absolute value parenthesis)
CASE 1
6%285x%2B45%29-113=7
30x%2B270=113%2B7
30x=-270%2B113%2B7
30x=-150 divide both sides by 30
x=-5
CASE 2
-6%285x%2B45%29-113=7
-30x-270=113%2B7
-30x=270%2B113%2B7
-30x=390
x=-13
=)

Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
Hi, I have an absolute value problem. I tried solving it like a regular equation, but when I check it it is wrong. The problem is 6|5x+45|-113=7.
Thanks in advance.

Step 1. Note that abs%285x%2B45%29 is the same as 5x+45 when 5x+45 is positive and -(5x+45) when 5x+45 is negative.

Step 2. Let z=abs%285x%2B45%29

6z-113=7

Add 113 to both sides

6z-113%2B113=7%2B113

6z=120

Divide 6 to both sides of the equation

6z%2F6=120%2F6

z=20

20=5x%2B45 and 20=-%285x%2B45%29 or -20=5x%2B45

-25=5x and -65=5x

x=-5 and x=-13

Step 3. ANSWER is x=-5 and x=-13.

I hope the above steps were helpful.

For free Step-By-Step Videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra or for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

And good luck in your studies!

Respectfully,
Dr J

drjctu@gmail.com

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