One month Philippe rented 3 movies and 5 video games for a total of $37 the next month he rented 9 movies and 7 video games for a total of $65 find the rental cost for each movie and each video game

The rental cost for each movie is $2.75 and the rental cost for each video game was $5.75

Step-by-step explanation:

Set up a system of equations where m is the cost of a movie and v is the cost of a video game:

3m + 5v = 37

9m + 7v = 65

Solve by elimination by multiplying the top equation by -3, then add the 2 equations together:

-9m - 15v = -111

9m + 7v = 65

-8v = -46

v = 5.75

Plug in 5.75 as v into one of the equations, and solve for m:

3m + 5v = 37

3m + 5(5.75) = 37

3m = 8.25

m = 2.75

So, the rental cost for each movie is $2.75 and the rental cost for each video game was $5.75

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