SOLUTION: Solve the absolute value equation.

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Question 753247: Solve the absolute value equation.

| 5x + 13| = �7
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39620) (Show Source):
You can put this solution on YOUR website!
5x+13 may be positive, zero, or negative. Solve according to two conditions.

5x+13>=0, and 5x+13<0, are the two conditions to use.

If 5x+13>=0 then |5x+13|=5x+13=-7
5x=-7-13
5x=-20
x=-4

If 5x+13<0 then |5x+13|=-(5x+13)=-7
-5x-13=-7
5x+13=7
5x=7-13
5x=-6
x=-6/5

ANSWER: x is either -4 or -6/5

Answer by MathTherapy(10555) (Show Source):
You can put this solution on YOUR website!

Solve the absolute value equation.

| 5x + 13| = �7

NO Solution, as left side (absolute value expression), can NEVER be negative.

SOLUTION: Solve the absolute value equation. | 5x + 13| = �7