SOLUTION: A add a fast food joint three cheeseburgers and five medium shakes cost $14.38 at the same fast food joint five cheeseburgers and two medium shakes cost $12.06 what is the cost o

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: A add a fast food joint three cheeseburgers and five medium shakes cost $14.38 at the same fast food joint five cheeseburgers and two medium shakes cost $12.06 what is the cost o      Log On


   

Question 1085318: A add a fast food joint three cheeseburgers and five medium shakes cost $14.38 at the same fast food joint five cheeseburgers and two medium shakes cost $12.06 what is the cost of a cheeseburger? What is the cost of a medium shake?
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
x, price for cheeseburgers
y, price for medium shakes

system%283x%2B5y=14.38%2C5x%2B2y=12.06%29

Multiply first one by 2, and multiply second one by 5.
system%286x%2B10y=28.76%2C25x%2B10y=60.3%29

%2825x%2B10y%29-%286x%2B10y%29=60.3-28.76
19x=31.54
x=1.66------price for a cheeseburger.

You can use the same method to find price for the medium shake, y.