SOLUTION: -5|3+4k|=-115

Algebra ->  Graphs -> SOLUTION: -5|3+4k|=-115      Log On


   

Question 1051100: -5|3+4k|=-115
Found 2 solutions by Alan3354, ikleyn:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
-5|3+4k|=-115
----------
|3+4k|= 23
Can you do the rest?
There are 2 answers.

Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
-5|3+4k|=-115
~~~~~~~~~~~~~~~~ 

-5|3+4k|=-115  --->

|3 + 4k| = -115%2F%28-5%29  --->

|3 + 4k| = 23  --->


a)  3 + 4k = 23  --->  4k = 23 - 3  --->  k = 20%2F4 = 5.


b)  3 + 4k = -23  --->  4k = -23 - 3  --->  k = -26%2F4 = -6.5.

Answer.  There are two solutions for k:  k=5  and  k = -6.5.

See the figure below:


Plots y = %28-5%29%2Aabs%283%2B4x%29 (red) and y = -115 (green)

On solving absolute value equations see the lessons
    - Absolute Value equations
    - HOW TO solve equations containing Linear Terms under the Absolute Value sign. Lesson 1
    - HOW TO solve equations containing Linear Terms under the Absolute Value sign. Lesson 2
    - HOW TO solve equations containing Linear Terms under the Absolute Value sign. Lesson 3
in this site.

Also, you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this textbook under the topic "Solving Absolute values equations".