Question

question
solve for all values of b in simplest form.
|7 - 4b| = 47

Explanation:

Step1: Split absolute value equation

$7 - 4b = 47$ or $7 - 4b = -47$

Step2: Solve first equation for b

Subtract 7 from both sides: $-4b = 47 - 7 = 40$
Divide by -4: $b = \frac{40}{-4} = -10$

Step3: Solve second equation for b

Subtract 7 from both sides: $-4b = -47 - 7 = -54$
Divide by -4: $b = \frac{-54}{-4} = \frac{27}{2}$

Answer:

$b = -10$ or $b = \frac{27}{2}$