how would i solve this and what method should i use?

Question

A vehicle travels to Sioux Falls with a tailwind averaging 83 mph. Coming back against the same wind the vehicle averages 75 mph. Determine the speed of the vehicle in still air and the speed of the wind. Use complete sentences to state the solution to the system, describe what the solution means in terms of the problem, and state what method you used and why you chose that method.

Answer 1

S is the speed of the wind and R is the speed of the vehicle

R+S = 83

R-s = 75

adds them:

2r = 158

r = 79

s=4