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nirvana33 [79]
3 years ago
5

7x+5y=19 -7x-2y=-16 What is the solution of the system

Mathematics
1 answer:
Andrei [34K]3 years ago
6 0
 7x+5y= 19
 -7x-2y=-16  add because its a negative 
-----------------
3y=3
y=1 
 then you find x by placing 1 for y

7x+5(1)=19
7x=14 
x=2           

(2,1)
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Step-by-step explanation:

Let x be the cost (in dollars) of renting a movie.

Let y be the cost (in dollars) of renting a video game.

The total cost of renting 3 movies and 2 video games is +3x2y dollars.

We're given that this total cost is $18, so we have =+3x2y18.

The total cost of renting 5 movies and 6 video games is +5x6y dollars.

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Therefore, we get the following system of equations.

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   −9 x− 6 y = −54      5 x+ 6 y =  48     −4 x+ 0 y = −6  

So we get the equation =−4x−6.

Solving for x, we get the following.

=x1.5

To find y, we can substitute 1.5 for x in =+3x2y18, the first equation in the system.

Then we solve for y.

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y =6.75

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This means that the rental cost for each movie is $1.50 and the rental cost for each video game is $6.75.

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