PLEASE HELP
Annie wrote the following steps to solve a pair of equations:

Step 1: y = −x − 5
y = 2x + 2

Step 2: 2y = −2x −10
y = 2x + 2

Which of the following shows the correct next step to solve the equations by eliminating x?
3y = –5
3y = –8
3y = –12
3y = –20

Option B: is the correct next step to solve the equations by eliminating x

Explanation:

Given that the steps to solve the pair of equations.

Step 1: and

Step 2: and

We need to determine the next step to solve the equations by eliminating x.

The solution can be determined by adding the two equations in step 2.

Thus, we have,

Simplifying the terms, we have,

Adding the like terms, we get,

Thus, is the correct next step to solve the equations by eliminating x.

Hence, Option B is the correct answer.