Question

Zachary is solving the following equation.

Three-fourths (x minus 8) = 12

Which is the best first step to begin to simplify the equation?

Answer 1

Answer:

24

Step-by-step explanation:

Using BODMAS simplify the bracket

Multiply 3/4 by values in bracket

3/4(x-8)=12

3/4(x)-6=12

3/4(x)=12+6

x=(18*4)/3=24

Answer 2

Given : Zachary is solving the following equation

3/4(x - 8)= 12

To Find : Which is the best first step to begin to simplify the equation?

A. Multiply both sides of the equation by 3/4

B. Divide both sides of the equation by 4/3

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

D. Distribute 4/3 over (x - 8)

Solution:

Multiply both sides of the equation by 3/4  - Would not Simplify as (3/4) on LHS will become 9/16

Divide both sides of the equation by 4/3   is Equivalent to Multiply both sides of the equation by 3/4   Hence would not simplify

Distribute 4/3 over (x - 8)  - Not possible as 4/3 is not there in Equation

Hence Distribute 3/4 over (x - 8)  is the Correct option

3/4(x - 8)= 12

=> (3/4)x  - 6 = 12

=> (3/4)x = 18

=> x = 18 (4/3)

=>  x = 24  

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