Question

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

Answer 1

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