Question

How do you solve for 2-9|-8b+8|=-70?

Answer 1

Answer:

The solution for the given equation is 0 and 2.

Step-by-step explanation:

Given equation:

$2-9|-8b+8|=-70$

To solve for $b$.

Solution:

In order to solve the given equation, we will first isolate the absolute value expression:

Step 1: Isolating the absolute value expression

$2-9|-8b+8|=-70$

Subtracting both sides by 2.

$2-2-9|-8b+8|=-70-2$

$-9|-8b+8|=-72$

Dividing both sides by -9.

$\frac{-9|-8b+8|}{-9}=\frac{-72}{-9}$

$|-8b+8|=8$

Step 2: Set the value of the absolute value expression to positive and negative.

$-8b+8=8$              and       $-8b+8=-8$

Step 3: Solve for the unknown.

Solving for $b$.

Subtracting both sides by 8.

$-8b+8-8=8-8$       and       $-8b+8-8=-8-8$

$-8b=0$                  and       $-8b=-16$

Dividing both sides by -8.

$\frac{-8b}{-8}=\frac{0}{-8}$          and       $\frac{-8b}{-8}=\frac{-16}{-8}$

$b=0$       and       $b=2$     (Answer)

Thus, the solution for the given equation is 0 and 2.