Answer:
The rental cost for each movie = 1.5 $
The rental cost for each video game = 6.5 $
Step-by-step explanation:
Let the rental cost for movie be a and video game be b.
One month Diane rented 2 movies and 12 video games for a total of $81
2 a + 12 b = 81 $ -------------------------Equation 1
The next month she rented 5 movies and 3 video games for a total of $27
5 a + 3 b = 27 $ -------------------------Equation 2
Equation 2 x 4,
20 a + 12 b = 108 $ -------------------------Equation 3
Equation 3 - Equation 1,
20 a + 12 b - ( 2 a + 12 b ) = 108 - 81
18 a = 27
a = 1.5 $
Substituting in equation 1
2 x 1.5 + 12 b = 81
12 b = 81 - 3
b = 6.5 $
The rental cost for each movie = 1.5 $
The rental cost for each video game = 6.5 $