One month Linda rented 3 movies and 5 video games for a total of $38 . The next month she rented 6 movies and 2 video games for a total of $26 . Find the rental cost for each movie and each video game. Rentalcostforeachmovie:$ Rentalcostforeachvideogame:$ One month Linda rented 3 movies and 5 video games for a total of $38 . The next month she rented 6 movies and 2 video games for a total of $26 . Find the rental cost for each movie and each video game.

Rentalcostforeachmovie:$

Rentalcostforeachvideogame:$

Respuesta :

x=cost of movie
y=cost of game

3x+5y=38
6x+2y=26

we can eliminate x's
times firs equation by -2 and add to 2nd

-6x-10y=-76
6x+2y=26 +
0x-8y=-30

-8y=-50
divide both sides by -8
y=6.25

sub back

3x+5y=38
3x+5(6.25)=38
3x+31.25=38
3x=6.75
divide both sides by 3
x=2.25


each movie costs $2.25 to rent
each game costs $6.25 to rent