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

Question

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

Answer 1

To solve the system of equations, we can set the total cost for both companies equal to each other and solve for x and y.

20x + 5 = 10y + 20

To isolate x, we can subtract 5 from both sides:

20x = 10y + 15

Next, we can divide both sides by 20:

x = (10y + 15)/20

This method is chosen because it allows us to express x in terms of y.