one month rented 3 movies and 5 video games for a total of $33. The next month she rented 6 movie and 2 video games for a total of $24. find the rental cost for each movie and video game

Answer 1

3 M + 5V = 33

6 M + 2 V = 24

Divides bottom equation by 2:

3 M + 5 V = 33

3 M + V = 12

subtracts:

4V = 21

V = 21/4 = $5.25

3 M + 5.25 = 12

3 M = 6.75

M = 2.25

Answer 2

Let x = cost to rent a movie and y = cost to rent a video game

3x + 5y = 33

6x + 2y = 24

Multiply the first equation by -2:

-6x - 10y = -66

6x + 2y = 24

Add the equations to get -8y = -42

So, y = $5.25 and x = $2.25.