One month melissa rented 12 movies and 2 video games for a total of $29.the next month she rented 3 movies and 5 video games for a total of 32$. find the cost for each movie and each video game.

the cost of renting one movie is $1.5

the cost of renting one video game is $5.2

Step-by-step explanation:

Let x represent the cost of renting one movie.

Let y represent the cost of renting one video game. One month melissa rented 12 movies and 2 video games for a total of $29. This means that

12x + 2y = 29 - - - - - - -1

The next month she rented 3 movies and 5 video games for a total of 32$. This means that

3x + 5y = 32 - - - - - - - - 2

Multiplying equation 1 by 5 and equation 2 by 2, it becomes

60x + 10y = 145

6x + 10y = 64

Subtracting,

54x = 81

x = 81/54 = 1.5

Substituting x = 1.5 into equation 2, it becomes

3x + 5y = 32

3×2 + 5y = 32

5y = 32 - 6 = 26

y = 26/5 = 5.2

you can first factor out the n to get n(1+5). we know that 1+5 is 6, so we just have 6n.