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One month hans rented 5 movies and 3 video games for a total of $26 . the next month he rented 7 movies and 9 video games for a total of $64 . find the rental cost for each movie and each video game.

Respuesta :

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Movies = x
Video Games = y

1st Month = 5x+3y = 26 (1)
2nd Month = 7x+9y = 64 (2)

(1) x 3; 15x+9y = 78 (3)

(3)-(2);
15x+9y-(7x+9y) = 78-64
15x+9y-7x-9y = 14
8x = 14
x = $1.75

Therefore substituting x in (1);
5x1.75+3y = 26
8.75+3y = 26
3y = 26-8.75
y = $5.75

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