Hello Bb,
Let's write equations describing each rental Nicole made.
"One month Nicole rented 8 movies and 4 video games for a total of 45 dollars"
8*m + 4*v = 45 where m is the cost of a movie and v the cost of a video game
"The next month she rented 3 movies and 2 video games for a total of 20 dollars "
3*m + 2*v = 20
You now have the following system of 2 equations:
8*m + 4*v = 45
3*m + 2*v = 20
If you multiply the 2nd equation by -2, you will get:
8*m + 4*v = 45
-6*m - 4*v = -40
Now we can add both equations. That will eliminate v and we can solve for m first:
2m = 5 ---> m = 2.50 so a movie cost $2.50 to rent
Now that you found m, you can insert it in one of the 2 equations. Let's choose the 1st one:
8(2.50) + 4*v = 45 ----> 20 + 4*v = 45 ---> 4*v = 25
You can solve 4*v = 25, and that will get you the cost to rent a video game.
Cheers!
