Question

In order to make the expression below equivalent to 1 2 x + 6, which additional operation should be included in the expression?

5/4x + 6

A -x
B -2x
C -3x/4
D +3x/4

Answer 1

Answer:

C -3x/4

Step-by-step explanation:

We want 5/4 x+ 6 to be equal to 1/2x+6 by adding something to 5/4x

5/4 x+ 6 +y = 1/2x+6

We need to solve for y

Subtract 6 from each side

5/4 x+ 6-6 +y = 1/2x+6-6

5/4 x +y = 1/2x

Subtract 5/4x from each side

5/4 x-5/4x +y = 1/2x-5/4x

                  y = 1/2x-5/4x

Get a common denominator

               y = 1/2*2/2 x - 5/4 x

                  2/4x - 5/4 x

                     -3/4x

Answer 2

The answer is c-3x/4