1

Problem

Find the additive Inverse of a:
- 2a + 5 = 3a - 7

2

Step

The given equation is

3

Step

Let’s solve for a: Isolate the variable

− 2a − 3a = − 7 − 5

− 5a = − 12

4

Step

Divide both sides by - 5:

\$ a = (- 12)/(- 5) \$

\$ a = 12/5 \$

5

Formula

The additive inverse of a = - a.

6

Solution

Now, the additive inverse of \$ 12/5 \$ is its negative value: Additive inverse of \$ 12/5 = - 12/5 \$.

7

Sumup

Please Summarize Problem, Hint, Clue, Formula and Steps

Choices

8

Choice-A

This is incorrect because it does not correspond to the additive inverse of the given expression

Wrong \$ 5/12 \$

9

Choice-B

This is not correct because it’s missing the change in sign for the constant term

Wrong \$- 5/12 \$

10

Choice-C

This is the correct choice for the additive inverse of the given expression

Correct \$ - 12/5 \$

11

Choice-D

This is inaccurate as it lacks the alteration in sign for the constant term

Wrong \$ 12/5 \$

12

Step

Option

C

13

Sumup

Please Summarize Choices