Question

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

Answer 1

Please check the explanation.

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

`(45b)/(45)=(30)/(45)`

Simplify

`b=(2)/(3)`

Therefore, the value of b = 2/3