Solve the system of equations. What method did you choose to

solve the system? Why?

For your company:
Total Cost = (Number of items)*(Cost per item) + Shipping cost
Total Cost for your company = 20x + 5

For the other company:
Total Cost = (Number of items)*(Cost per item) + Shipping cost
Total Cost for the other company = (1/2)*(20y) + 20 = 10y + 20

Unfortunately, you have not provided any specific equations to solve for the system of equations. However, based on the given information, it appears that both equations represent the total cost for your company and the other company respectively.

To solve this system, one possible method is to set the two total cost expressions equal to each other and solve for the variable(s). In this case, you can set the total cost for your company equal to the total cost for the other company:

20x + 5 = 10y + 20

From there, you can solve for one variable in terms of the other variable, or find the specific values of x and y that satisfy the equation.