Question

question
solve for all values of b in simplest form.
11 = |-2b + 1|
answer attempt 1 out of

Explanation:

Step1: Split absolute value equation

For $|A| = c$ where $c>0$, $A=c$ or $A=-c$. So:
$-2b + 1 = 11$ or $-2b + 1 = -11$

Step2: Solve first equation

Isolate term with $b$:
$-2b = 11 - 1$
$-2b = 10$
Divide by $-2$:
$b = \frac{10}{-2} = -5$

Step3: Solve second equation

Isolate term with $b$:
$-2b = -11 - 1$
$-2b = -12$
Divide by $-2$:
$b = \frac{-12}{-2} = 6$

Answer:

$b = -5$ or $b = 6$