need help with algebra

Question

one month deon rented 8 movies and 4 video games for a total of $33. The next month he rented 3 movies and 2 video games for a total of $15. find the rental cost for each movie and each video game.

Answer 1

Let "m" represent the cost to rent one movie and let "v" represent the cost to rent one video game.

The 8 movies would cost 8 times the price of one movie or "8m" and 4 video games would cost "4v".Since "8 movies and 4 video games for a total of $33" then 8m + 4v = 33.

And likewise, 3m + 2v = 15

To make the "v's" get eliminated, we can multiply both sides of the second equation by -2 and it becomes:

-6m - 4v = -30

Then we can add the first equation to it:

8m + 4v = 33

-6m - 4v = -30

----------------------

2m = 3

m = 1.5

Then we can plug in m = 1.5 into 3m + 2v = 15 to get:

3(1.5) + 2v = 15

4.5 + 2v = 15

2v = 10.5

v = 5.25

So each movie costs $1.50 and each video game costs $5.25 to rent