A Fun Park refreshment stand sells only hotdogs and nachos. Hotdogs cost $2 and nachos cost $3. Marcus and his friends spent $34 at the refreshment stand. All together, they ordered a total of 14 items. How many hotdogs and how many nachos did they buy? Write a system of two linear equations in two variables that can be used to model the situation. Then choose a method to solve the system. Show your work and check your answer.​