Final answer:
The student is solving a system of linear equations to find the costs of different sizes of moving boxes. They must use algebraic methods to find the values that satisfy all three equations and present the solution as an ordered triple representing the cost of each box size.
Step-by-step explanation:
The student is tasked with solving a system of linear equations to find the cost of small, medium, and large moving boxes, represented by the variables s, m, and l, respectively. To determine the ordered triple (s,m,l) that represents the cost for each size of the box, we need to use a method such as substitution, elimination, or matrix operations to solve this system:
- 7s + 4m + 2l = 24
- 5s + 3m + 6l = 30
- 3s + 7m + 10l = 46
By solving this system, we find the values of s, m, and l that satisfy all three equations simultaneously. The process involves multiple steps, simplifying and manipulating the equations to find the values of the variables. Once the values are found, they can be placed into an ordered triple that represents the corresponding costs respectively.