Question

at a concession stand, five hotdogs and two hamburgers cost $11.50; two hot dogs and five hamburgers cost $13.00. find the cost of one hot dog and the cost of one hamburger.

Answer 1

let x=cost of one hot dog
let y=cost of one hamburger

5x+4y=13
4x+5y=14

20x+16y=52
20x+25y=70
subtract
-9y=-18
y=2
4x=14-5y=14-10=4
4x=4
x=1
cost of one hot dog=$1.00
cost of one hamburger=$2.00