Answer
6 dollars for cheese pizza and 8 dollars for pepperoni pizza.
Work Step by Step
We call x the cost of cheese pizzas and y the cost of pepperoni pizza. Thus, we obtain:
$ 5x +12y =126 $
And
$ 9x +20y = 214$
In order to solve this problem, we multiply one or both of the equations by a value that will make one of the variables cancel. We multiply the top equation by -9, and we multiply the bottom equation by 5. Then, we add the two equations to obtain:
$-8y = -64 \\ y =8 $
We plug in the given value into the top equation and solve for the other variable:
$ 5x + 12(8) = 126 \\ 5x = 30 \\ x =6$
