Final answer:
To find the costs of a taco (t) and a small glass of milk (m), we use two equations: t + m = 2.10 and 2t + 3m = 5.15, forming a system to solve simultaneously for t and m.
Step-by-step explanation:
In order to determine t, the cost of a taco, and m, the cost of a small glass of milk, we can use a system of linear equations derived from the information provided about the cost of these items at a restaurant. From the first scenario, where one taco and one small glass of milk cost $2.10, we have our first equation:
Equation 1: t + m = 2.10
In the second scenario, two tacos and three small glasses of milk cost $5.15, producing our second equation:
Equation 2: 2t + 3m = 5.15
These two equations form a system that, when solved simultaneously, will provide the values for t and m, representing the costs of a taco and a small glass of milk respectively.