Consider the equation v + 4 + v = 8. What is the resulting equation after the first step in the solution?

Av +4 = 8 – v
Bv +4 = 8
C4 + v = 8 – v
D2v + 4 = 8

Verified Answer :

The first step is to group like terms on each side of the equation. This would give you (v + v) + 4 = 8. There is no point in writing v + v as such, so 2v + 4 = 8 would be better. This is equation d. 

d. 2v + 4 = 8.

Answer:

The resulting equation after the first step is 2v+4=8

d is the correct option

Step-by-step explanation:

We have been given the equation v + 4 + v = 8. In order to solve it for v, we'' perform the below mentioned steps.

  • Add the like terms in the left hand side
  • Subtract 4 to both sides of the equation
  • Finally divide both sides by 2

Hence, in the first step, we can group the like terms and combine. In the left hand side v and v are like terms and hence, we can add them

On adding v and v we get 2v

Thus, we have

\(v+v+4=8\\2v+4=8\)

Thus, the resulting equation after the first step is 2v+4=8