Jackson is preparing many gifts for a family holiday party. Each gift must either be wrapped with wrapping paper or prepared in a gift bag. Jackson can wrap a single gift in 6 minutes and he can do a giftbag in 2 minutes. Jackson prepared a total 25 gifts in 110 minutes. Write a system of equations that could be used to determine the number of gifts Jackson wrapped and the number of giftbags he prepared. Define the variables that you use to write the system.

Step 1 ：Define two variables: let x be the number of gifts Jackson wrapped and y be the number of gift bags he prepared.

Step 2 ：From the problem, we know that the total number of gifts is 25. This gives us the equation \(x + y = 25\).

Step 3 ：We also know that Jackson spent 110 minutes preparing the gifts, and since he spends 6 minutes per wrapped gift and 2 minutes per gift bag, we have the equation \(6x + 2y = 110\).

Step 4 ：So, the system of equations is: \(x + y = 25\) and \(6x + 2y = 110\).

Step 5 ：Final Answer: The system of equations is \(\boxed{x + y = 25}\) and \(\boxed{6x + 2y = 110}\), where x is the number of gifts Jackson wrapped and y is the number of gift bags he prepared.