One month lisa rented 2 movies and 3 video games for a total of $26. the next month she rented 6 movies and 5 video games for a total of $56. find the rental cost for each movie and each video game.

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