You and a friend go to a mexican restaurant. you order 2 tacos and 3 enchiladas and your friend orders 3 tacos and 5 enchiladas. one bill was $7.80 plus tax and the other bill was $12.70 plus tax. how much was each taco and each enchilada?

For this case, the first thing we must do is define variables.

We have then:

x: cost of tacos

y: cost of enchiladas.

We write the system of equations:

2x + 3y = 7.80

3x + 5y = 12.70

Solving the system we have:

x = 0.9 $

y = 2 $

Answer:

each taco and each enchilada was:

x = 0.9 $

y = 2 $