At a concession, five hot dogs and two hamburgers cost $12.00; two hot dogs and five hamburgers cost $14.25. Find the cost of one hot hot dog and the cost of one hamburger.
This is a very similar question that will help you:
Notice that there's a bit of symmetry in this problem you can use to your advantage. Trying adding the two equations together!
I think I answered this one before...or a VERY similar one
5 d + 2 h = 1200 Multiply THIS equation by - 2.5 and add to the next equation to get the third equation
2 d + 5 h = 1425
-10.5 d = 1575
d = 150 or $ 1.50 use this value for 'd' to sub into one of the equations to compute h