Option B: [tex]3 y=-8[/tex] 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: [tex]y=-x-5[/tex] and [tex]y=2 x+2[/tex]
Step 2: [tex]2 y=-2 x-10[/tex] and [tex]y=2 x+2[/tex]
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,
[tex]2 y+y=-2 x-10+(2x+2)[/tex]
Simplifying the terms, we have,
[tex]2 y+y=-2 x-10+2x+2[/tex]
Adding the like terms, we get,
[tex]3 y=-8[/tex]
Thus, [tex]3 y=-8[/tex] is the correct next step to solve the equations by eliminating x.
Hence, Option B is the correct answer.
