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

Question 1051100: -5|3+4k|=-115
Found 2 solutions by Alan3354, ikleyn:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
-5|3+4k|=-115
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|3+4k|= 23
Can you do the rest?
There are 2 answers.
Answer by ikleyn(52784)   (Show Source): You can put this solution on YOUR website!
.
-5|3+4k|=-115
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-5|3+4k|=-115 ---> |3 + 4k| = ---> |3 + 4k| = 23 ---> a) 3 + 4k = 23 ---> 4k = 23 - 3 ---> k = = 5. b) 3 + 4k = -23 ---> 4k = -23 - 3 ---> k = = -6.5. Answer. There are two solutions for k: k=5 and k = -6.5.

See the figure below:

Plots y = (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".

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