One month Boris rented 2 movies and 5 video games for a total of $33. The next month he rented 8 movies and 3 video games for a total of $30. Find the rental cost of each movie and you each video game.

M=cost per movie

v=cost per video game

2m+5v=33

8m+3v=30

use elimination

eliminate movies

mutliply first equation by - 4 and add to 2nd

first equation becomes - 8m-20v=-132

add the 2 equations

-8m-20v=-132

8m+3v=30 +

0m-17v=-102

-17v=-102

divide both sides by - 17

v=6

subsiutute back

2m+5v=33

2m+5 (6) = 33

2m+30=33

minus 30 both sides

2m=3

divide 2

m=1.5

rental cost per movie is $1.50

rental cost per video game is $6