SOLUTION: By​ air, the distance from city A to city B is 3006 miles less than the distance from city C to city D. If the total of these two distances is 7854 miles, find the distance f

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: By​ air, the distance from city A to city B is 3006 miles less than the distance from city C to city D. If the total of these two distances is 7854 miles, find the distance f      Log On

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Question 1092772: By​ air, the distance from city A to city B is 3006 miles less than the distance from city C to city D. If the total of these two distances is 7854 miles, find the distance from city C to city D.
I'm having trouble figuring out how I'd set this equation up and then solve it.
Answer by ikleyn(52790) About Me  (Show Source):
You can put this solution on YOUR website!
.
x - y = 3006,    (1)   (x is the greater distance)
x + y = 7854.    (2)
-------------------------  Add the two equations (both side) and see what will happen.