97.9k views
0 votes
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

2 Answers

4 votes
The answer is c-3x/4
User Jeeves
by
5.8k points
3 votes

Answer:

C -3x/4

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

User Amrut
by
5.5k points