At the new Cozy Inn Restaurant, which is still under construction, the owners have hired enough waiters and waitresses to handle 17 tables of customers. The fire marshall has looked at the plans for the restaurant and says he will approve it for a limit of 56 customers. The restaurant owners are now deciding how many two-seat tables and how many four-seat tables to buy for the restaurant. How many of each kind should they buy?

I just need help setting it up.

To set up this problem, we need to create a system of equations based on the given information. Let's say the number of two-seat tables is "x" and the number of four-seat tables is "y".

We know that the total number of tables is 17, so we can write the equation:

x + y = 17

We also know that the maximum number of customers, considering both two-seat and four-seat tables, is 56. Let's assume each two-seat table is occupied by 2 customers and each four-seat table is occupied by 4 customers. We can write the equation:

2x + 4y = 56

Now we have a system of two equations with two variables:

x + y = 17 (Equation 1)
2x + 4y = 56 (Equation 2)

Solving this system of equations will give us the values of x and y, which represent the number of two-seat and four-seat tables, respectively.

I know it’s systems of eliminations if that helps