One month Maya rented 2 movies and 5 video games for a total of $32. The next month she rented 8 movies and 3 video games for a total of $43. Find the rental cost for each movie and each video game.

The rental cost for each movie is $3.5  and each video game is $5.

Step-by-step explanation:

Let x= rental cost for each movie

y = rental cost for each movie video game.

As per given,

2x+5y = 32      (i)

8x+3y=43        (ii)

Multiply 4 on both sides of equation (i)

8x+20y = 128     (iii)

Eliminate (ii) from (iii)

17y=85

⇒ y = 5   [divide both sides by 17]

Put this in (i)

2x+5(5)=32

⇒ 2x+25= 32

⇒ 2x= 7

⇒ x  = 3.5    [divide both sides by 2]

Hence, the rental cost for each movie is $3.5  and each video game is $5.

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step-by-step explanation: