A group of friends go out for lunch. If they order 2 hot dogs and 4 cheeseburgers, the bill will be $23.50. If they order 5 hot dogs and only 1 cheeseburger, the bill will be $18.25. What is
the cost of a hot dog?

$2.75 = cost of a hot dog

$4.50 = cost of a cheeseburger

Step-by-step explanation:

Let x = cost of a hot dog

     y = cost of a cheeseburger

(1)      2x + 4y = 23.5           (2)    5x + y = 18.25    

                                                           y =  18.25 - 5x

        2x +4(18.25 - 5x) = 23.5

         2x + 73 - 20x = 23.5

         -18x + 73 = 23.5

                  -18x = -49.5

                       x = 2.75                       y = 18.25 - 5(2.75)

                                                           y = 18.25 - 13.75

                                                           y = 4.50

$2.75 = cost of a hot dog

$4.50 = cost of a cheeseburger

.

step-by-step explanation:

.

irrational, cannot