using systems of equations

Mathematics
Tutor: None Selected Time limit: 1 Day

you pay $22 to rent 6 video games the store charges $4 for new games and $2 for older games how many new games did you get 

Oct 1st, 2015

Thank you for the opportunity to help you with your question!

Let x be old games and y be new games. If you rented 6 video games, that means you get 6 if you add together the old and new games that were rented: 

x + y = 6 

If you spent $22 total and new games cost $4 to rent and old games cost $2, then you get the following equation: 
2x + 4y = 22 

Thus, the system you have to solve is: 
x + y = 6 
2x + 4y = 22 

y=5

x=1

Please let me know if you need any clarification. I'm always happy to answer your questions.
Oct 1st, 2015

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