Question

one month jane rented 9 movies and 7 video games for a total of $56 the next month she rented 3 movies and 5 video games for a total of $34 find the rental cost for each movie and each video game

Answer 1

You are trying to find the values of two quantities, so you will need to set up a system of two equations in two variables. We'll call M the price of a move and V the price of a video game.

The first month: 9 movies, 7 video games, $56. Let's translate this into algebra:

9M + 7V = 56

The second month: 3 movies, 5 video games, $72. Translated:

3M + 5V = 34

Solve that system of equations.