At a concession stand, five hot dog(s) and two hamburger(s) cost $\$10.25$; two hot dog(s) and five hamburger(s) cost $\$12.50$. Find the cost of one hot dog and the cost of one hamburger.

5d + 2h =10.25

2d + 5h = 12.50 <==== Multiply this equation by - 2.5 then add to top equation ...the d's will be gone and you can solve for 'h'

use this value of 'h' in one of the equations to solve for 'd'