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polet [3.4K]
3 years ago
7

One month Mai rented

Mathematics
1 answer:
AveGali [126]3 years ago
7 0
The first thing we must do for this case is to define variables:
 x = rental cost of movies
 y = rental cost of video games
 We write the system of equations:
 6x + 2y = 36
 3x + 5y = 39
 Resolving we have:
 x = 4.25 $
 y = 5.25 $
 Answer:
 
The rental cost for each movie and each video game is:
 
movies = 4.25 $
 
video games = 5.25 $
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The resulting equation after simplyfing the given equation is 3x^2 + 20x + 12 = 0 and whoose solutions are x = -2/3 or x = -6.

According to the given question.

We have an equation

\frac{x^{2}-x-6 }{x^{2} } = \frac{x-6}{2x} +\frac{2x+12}{x}

So, to find the resulting equation of the above equation we need to simplify.

First we will take LCD

\frac{x^{2} -x - 6 }{x^{2} } = \frac{x -6+2(2x + 12)}{2x}

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Again multiply both the sides by x

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Factorize the above equation

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Hence, the resulting equation after simplyfing the given equation is 3x^2 + 20x + 12 = 0 and whoose solutions are x = -2/3 or x = -6.

Find out more information about equation here:

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