One month tammy rented
3
movies and
2
video games for a total of
$20
. the next month she rented
8
movies and
4
video games for a total of
$45
. find the rental cost for each movie and each video game.

and

In order to solve this systems of equations problem, you need to use the elimination method.

You can multiply the top equation, , by -2 in order to eliminate the values.

will turn into 

From there, we can eliminate.




Since and are opposites in sign and equal in coefficients, we can remove them from our equations and add the rest of the terms together.



will turn into -->


So, x = , which means 1 movie costs $2.50. Then, we can solve for the video game price, , by substituting our x back into one of the equations.





Each movie costs $2.50 and each video game costs $6.25.