SOLUTION: By air, the distance from New York City is 2001 miles less than the distance from Los Angeles to Tokyo. If the total of these two distances is 8939 miles, find the distance from Lo

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: By air, the distance from New York City is 2001 miles less than the distance from Los Angeles to Tokyo. If the total of these two distances is 8939 miles, find the distance from Lo      Log On


   

Question 955323: By air, the distance from New York City is 2001 miles less than the distance from Los Angeles to Tokyo. If the total of these two distances is 8939 miles, find the distance from Los Angeles to Tokyo.
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
(LA TO TOKYO)+NY=8939
NY=(LA TO TOKYO)-2001
SUBSTITUTE: (LA TO TOKYO)-2001) FOR NY IN THE FIRST EQUATION.
(LA TO TOKYO)+(LA TO TOKYO)-2001=8939
2(LA TO TOKYO)-2001=8939
2(LA TO TOKYO)=8939+2001
2(LA TO TOKYO)=10,040
(LA TO TOKYO)=10,040/2
(LA TO TOKYO)=5020 ANS.
PROOF:
5020+NY=8939
NY=8939-5020
NY=3919 ANS.
3919+5020=8939
8939=8939