Question

Zachary is solving the following equation. 3/4 (x-8)= 12 Which is the best first step to begin to simplify the equation Multipliy both sides of the equation by 3/4 Divide both sides of the equation by 4/3 Distribute 3/4 over (x-8). Distribute 4/3 over (x-8)

Answer 1

Remove fractions. Starting with (3/4)(x-8) = 12, mult. both sides by (4/3):

(4/3)(3/4)(x-8) = 12(4/3)

Then: x-8 = 16, and x = 24.

Answer 2

C.Distribute
`(3)/(4)` over (x-8).

Explanation:

We are given that Zachary is solving an equation

`(3)/(4)(x-8)=12`

We have to find that which best first step to begin to simplify the equation.

If distribute
`(3)/(4)` over (x-8)

Distributive property:
`a\cdot(b+c)=a\cdotb+a\cdot c`

Using this property

Then, we get

`(3)/(4)x-6=12`

`(3)/(4)x=12+6`

Using subtractive property of equality

`(3)/(4)x=18`

`x=(18* 4)/(3)=24`

`x=24`

Hence, First best step is distribute
`(3)/(4)` over (x-8) to begin to simplify the equation

Answer:C.Distribute
`(3)/(4)` over (x-8).