Answer: the rental cost for each movie is $4.75
the rental cost for each video game is $5.5
Step-by-step explanation:
Let x represent the rental cost of one movie.
Let y represent the rental cost of one video game.
One month Lisa rented 2 movies and 3 video games for a total of $26. This means that
2x + 3y = 26 - -- - - - - - - 1
The next month she rented 6 movies and 5 video games for a total of $56. This means that
6x + 5y = 56 - - - - - - - - - -2
Multiplying equation 1 by 6 and equation 2 by 2, it becomes
12x + 18y = 156
12x + 10y = 112
Subtracting,
8y = 44
y = 44/8 = 5.5
Substituting y = 5.5 into equation 1, it becomes
2x + 3×5.5 = 26
2x + 16.5 = 26
2x = 26 - 16.5 = 9.5
x = 9.5/2 = 4.75
