Question

solve for all values of $b$ in simplest form.
$|1 + 5b| = 13$
answer attempt 1 out of 2
additional solution no solution
$b = \square$

Explanation:

Step1: Split absolute value equation

Set up two cases: $1 + 5b = 13$ and $1 + 5b = -13$

Step2: Solve first case for b

Subtract 1 from both sides: $5b = 13 - 1 = 12$
Divide by 5: $b = \frac{12}{5}$

Step3: Solve second case for b

Subtract 1 from both sides: $5b = -13 - 1 = -14$
Divide by 5: $b = -\frac{14}{5}$

Answer:

$b = \frac{12}{5}$ and $b = -\frac{14}{5}$