At the fast food restaurant, four cheeseburgers and five small fries have a total of 2,310 calories. three cheeseburgers and two small fries have a total of 1,330 calories. how many calories does each item contain? create two equations to model this situation using x and y for your variables. use a comma to separate your equations.

Let x = calories in a cheeseburger
Let y =  calories in an order of small fries

Four cheeseburgers and five small fries have 2,310 calories. Therefore
4x + 5y = 2310       (1)

Three cheeseburgers and two small fries have 1,330 calories. Therefore
3x + 2y = 1330        (2)

Equations (1) and (2) model the given situation.

To solve, multiply (1) by 2, and multiply (2) by 5 to obtain
  8x + 10y = 4620          (3)
15x + 10y = 6650          (4)

Subtract (3) from (4).
7x = 2030
x = 290
From (1), obtain
5y = 2310 - 4*290 = 1150
y = 230

The two equations are
4x + 5y = 2310
3x + 2y = 1330

The solutions are x = 290, y = 230.