Word Problem using Linear Equations of the form Ax+ By=C?

Question

One month Bob rented 2 movies and 6 video games for a total of $40.00. The next month he rented 5 movies and 3 video games for a total of $25.00. Find the rental cost for each movie and each video game.

Rental cost for each movie: 

Rental cost for each video game:

Answer 1

5m+3v=25

2m+6v=40

10m+6v=50

8m=10>>m=1.25

1.25*5=6.25

25-6.25=18.75

3v=18.75>>v=6.25

5*1.25+3*6.25=25

2*1.25+6*6.25=40

m=1.25,  V=6.25

Answer 2

let x - cost of movies

 y - cost of video games

 3[2x + 6y = 40]

 6[5x + 3y = 25]

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 6x + 18y = 120

 -[30x + 18y = 150]

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..- 24x = - 30

 x = $1.25  cost of movies

solving for y from eq1

2x + 6y = 40

2(1.25) + 6y = 40

2.5 + 6y = 40

 6y = 40 - 2.5

 6y =37.5

 y = $6.25 cost of video game

Rental cost for each movie: $1.25

Rental cost for each video game: $6.25

Source(s): https://www.wolframalpha.com/input/?i=2x+%2B+6y+%3...