Step By Step:
With each expression we will first simplify (combine like terms), then substitute, and then solve.
First Expression:
1/2x + 4
Simplify:
There is no like terms so we result in 1/2x + 4 still
Substitute:
1/2x + 4
1/2(2) + 4
Solve:
1/2(2) + 4
1 + 4 = 5
Second Expression:
x + -1/2x - 2
Simplify:
x + -1/2x - 2
1/2x + (-2)
Substitute:
1/2x + (-2)
1/2(2) + (-2)
Solve:
1/2(2) + (-2)
1 + (-2)
1 - 2 = -1
Answer:
None of the answers are correct from what I can see. Although, we do know that the two expressions are not equivalent considering we got two completely different answers, so your answer could not be A or B. Next, we know that one expression equals 5, which can remove D and leave us with only C. This leaves us with only to guess of what the answer is.