Solve the absolute value equation. Check your solutions. | 5x + 13| = 7
Question
Updated 7/23/2014 11:52:00 AM
This conversation has been flagged as incorrect.
Edited by andrewpallarca [7/23/2014 11:48:38 AM]
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Original conversation
User: Solve the absolute value equation. Check your solutions. | 5x + 13| = 7

Weegy: This equation has no solution. It is not possible for an absolute value to be equivalent to a negative number; by their very definitions, absolute values must be either neutral (0) or positive, never negative.
HazelLancaster|Points 149|

Question
Updated 7/23/2014 11:52:00 AM
This conversation has been flagged as incorrect.
Edited by andrewpallarca [7/23/2014 11:48:38 AM]
Rating
8
|5x + 13| = 7;

5x + 13 = 7;
5x = 7 - 13;
5x = -6;
x = -6/5

| 5x + 13| = 7
-(5x + 13) = 7;
-5x - 13 = 7;
-5x = 7 + 13;
-5x = 20;
x = 20/-5;
x = -4

Solution set: {-6/5, -4}
Real Solution: -6/5
| 5(-6/5) + 13| = 7
|-6 + 13| = 7;
13 - 6 = 7;
7 = 7

Questions asked by the same visitor
1. Solve the absolute value equation. Check your solutions. |5x + 13| = 7
Weegy: This equation has no solution. It is not possible for an absolute value to be equivalent to a negative number; by their very definitions, absolute values must be either neutral (0) or positive, never negative. (More)
Question
Updated 7/14/2014 10:57:14 AM
|5x + 13| = 7;
(5x + 13) = 7 or -(5x + 13) = 7;
5x + 13 = 7 or -5x - 13 = 7;
5x = 7 - 13 or -5x = 7 + 13;
5x = -6 or -5x = 20;
x = -6/5 or x = -4

x = -4, -6/5
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