SOLUTION: Mary bought 3 hamburgers and 2 fries for $19. She then bought 5 hamburgers and 3 fries for $31. What is the price of each individually?

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Mary bought 3 hamburgers and 2 fries for $19. She then bought 5 hamburgers and 3 fries for $31. What is the price of each individually?      Log On


   

Question 1103886: Mary bought 3 hamburgers and 2 fries for $19. She then bought 5 hamburgers and 3 fries for $31. What is the price of each individually?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
3H%2B2F=19
5H%2B3F=31
Multiply eq. 1 by 3 and eq. 2 by 2 and subtract 1 from 2 to eliminate F.
3%283H%2B2F%29-2%285H%2B3F%29=3%2819%29-2%2831%29
9H%2B6F-10H-6F=57-62
-H=-5
H=5
Now use either equation to solve for F.