Question

At the football game, 4 hamburgers and 6 soft drinks cost $34, and 4 hamburgers and 2 soft drinks cost $22. Which system of linear equations below can be used to determine the price of a hamburger and the price of a soft drink?

Let x represent the cost of a hamburger and y represent the cost of a soft drink.

Answer 1

Soft drink: $3

Burger: $4

Explanation:

We have equations

4x + 6y = 34

4x + 2y = 22

Multiply the second equation by -1

4x + 6y = 34

-4x + -2y = -22

4y = 12

y = $3

Now put 3 back in to solve for burger

4x + 6(3) = 34

4x +18 =34

4x = 16

x = $4