12 One month Carlos rented 5 movies and 2 video games for a total of $31. The next month he rented 3 movies and 8 video games for a
total of $56. Find the rental cost for each movie and each video game.
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5
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Rental cost for each movie: s[]
Rental cost for each video game: s[]

Let x be the rent for a movie and y is the rent for a video game

The following system of equations:

5x + 2y = 31 (1)

3x + 8y = 56 (2)

Solving the system of equations above we have:

x = (31-2y) / 5 (1) => replace x in (2) 3 ((31-2y) / 5) + 8y = 56 => y = $ 5.5

Replace y = $ 5.5 for (1) => x = ((11 - 11) / 5) = 4

So the rent for a movie is $ 5.5 and the price for renting a video games is $ 4

Step-by-step explanation:

correct answer is infinitely many solutions

step-by-step explanation:

2(2x + 3) = -4 + 2(2x + 5)

solving the above equation:

4x + 6 = -4 +4x +10

combining like terms

4x -4x = -4+10-6

0=0

since both sides are 0=0, we end up into true statement it means it has infinite many solutions.

so correct answer is infinitely many solutions

(-1,-0.5)

step-by-step explanation: