At a concession stand five hotdogs and two hamburgers cost 8.00 two hotdogs and five hamburgers cost 9.50 find the cost of one hot dog and one hamburger

Think of this situation as a system of equations.

let y be the price of hotdogs

let x be the price of hamburgers

5y + 2x = 8

2y + 5x = 9.50

now use your solution method of choice

substitution, elimination, matrices, etc