Lilly and Alex went to a Mexican restaurant. Lilly paid $9 for 2 tacos and 3 enchiladas, and Alex paid $12.50 for 3 tacos and 4 enchiladas. Use the system of equations to find how much the restaurant charges for a taco and for an enchilada

Set up the system of equations as

9 = 2t + 3e

12.5 = 3t + 4e

With t representing the number of tacos and e representing the number of enchiladas

Next use elimination to isolate a variable

(9 = 2t + 3e) 3

(12.5 = 3t + 4e) - 2

27 = 6t + 9e

-25 = - 6t - 8e

2 = 0t + e

2 = e

Substitute e into an equation to find t

9 = 2t + 3e

9 = 2t + 3 (2)

9 = 2t + 6

-6 - 6

3 = 2t

/2 / 2

1.5 = t

Therefor each taco costs $1.50 and each enchilada costs $2.00