Gerard bought 9 hamburgers and 3 orders of fries for 24.75. chris bought 6 hamburgers and 4 orders of fries for 19.50. each hamburger cost the same amount. each order of fries cost the same amount. wrote a system of equations that can be used to find how much one hamburger and one order of fries cost.

9h + 3f = 24.75multiply by 4
6h + 4f = 19.50 ...multiply by -3

36h + 12f = 99 (result of multiplying by 4)
-18h - 12f = - 58.50 (result of multiplying by -3)
add
18h = 40.50
h = 40.50/18
h = 2.25  <== hamburgers cost 2.25 each

6h + 4f = 19.50
6(2.25) + 4f = 19.50
13.50 + 4f = 19.50
4f = 19.50 - 13.50
4f = 6
f = 6/4
f = 1.50 <== fries cost 1.50 per order