Question

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

Answer 1

To answer this question, you should set up and equation before doing anything else. So for this question you 're going to set up two equations.

The first equation is 2x+5y=33

The second equation is 8x+3y=30

Once you do that you have to solve for either X or Y by canceling out the other one. In this problem figuring out the Y is easier because you can cancel the X's more easily than the Y. To cancel a variable, they have to add up to 0.

So to cancel the X you multiply the equation 2x+5y=33 by -4.

That gives you -8x-20y= -132

Then you set up the two equations and add them together.

(-8x-20y= -132) + (8x+3y=30)

That gives you -17y = -102

So then you solve for Y by dividing by -17. You find out that Y is equal to 6. Then you plug the 6 back into the ORIGINAL equations and solve for X, which turns out to be 1.5

Hope this helped and if you get confused or have questions please ask :)