Question

question
solve for all values of c in simplest form.
|-4c + 13| = 15
answer attempt 1 out of 2
+ additional solution - no solution
c =
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Explanation:

Step1: Apply absolute value definition

The absolute value equation \(|-4c + 13| = 15\) means that \(-4c + 13 = 15\) or \(-4c + 13 = -15\).

Step2: Solve the first equation \(-4c + 13 = 15\)

Subtract 13 from both sides:
\(-4c = 15 - 13\)
\(-4c = 2\)
Divide both sides by -4:
\(c = \frac{2}{-4} = -\frac{1}{2}\)

Step3: Solve the second equation \(-4c + 13 = -15\)

Subtract 13 from both sides:
\(-4c = -15 - 13\)
\(-4c = -28\)
Divide both sides by -4:
\(c = \frac{-28}{-4} = 7\)

Answer:

\(c = -\frac{1}{2}\) or \(c = 7\)