Question

What is the answer to 5+5(9b - 7)

Answer 1

Answer:

Please check the explanation.

Step-by-step explanation:

Given the expression

5+5(9b - 7)

FIRST CASE (JUST EVALUATION)

Given the expression

$5+5\left(9b-7\right)$

$\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b-c\right)=ab-ac$

$5+5\left(9b-7\right)=5+5\cdot \:9b-5\cdot \:7$

                     $=5+45b-35$

                     $= 45b - 30$

Therefore, we conclude that:

$5+5\left(9b-7\right)=45b-30$

SECOND CASE (Finding the value of b)

Assuming we have to determine the value of b

$5+5(9b - 7) = 0$

As we have determined

$5+5\left(9b-7\right)=45b-30$

so substituting $5+5\left(9b-7\right)=45b-30$ in the equation

$45b-30 = 0$

Add 30 to both sides

$45b-30+30=0+30$

Simplify

$45b=30$

Divide both sides by 45

$\frac{45b}{45}=\frac{30}{45}$

Simplify

$b=\frac{2}{3}$

Therefore, the value of b = 2/3