Question

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

a. v +4 = 8 – v
b. v +4 = 8
c. 4 + v = 8 – v
d. 2v + 4 = 8

Answer 1

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 2

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

d is the correct option

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