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Zolol [24]
2 years ago
7

One month Maya rented 2 movies and 3 video games for a total of $20. The next month she rented 6 movies and 5 video games for a

total of $38. Find the
rental cost for each movie and each video game.
Rental cost for each movie:
Rental cost for each video game:
Mathematics
1 answer:
notsponge [240]2 years ago
6 0

Answer:

M = 1.75 --- Movies

V = 5.5 --- Video games

Step-by-step explanation:

Represent the movies with M and the video games with V.

The first month, the expression is:

2M + 3V = 20

The next month, the expression is:

6M + 5V = 38

Required

Find M and V

We have:

2M + 3V = 20 --- (1)

6M + 5V = 38 --- (2)

Multiply (1) by 3.

3 * 2M + 3V = 20

6M + 9V = 60 --- (3)

Subtract (1) from (3)

6M + 9V = 60

- 6M + 5V = 38

-------------------------

6M - 6M + 9V - 5V = 60 -38

4V = 22

Divide by 4

V = 5.5

Substitute 5.5 for V in (1)

2M + 3V = 20

2M  + 3 * 5,5 = 20

2M  + 16.5= 20

Subtract 16.5 from both sides

2M = 3.5

Divide by 2

M = 1.75

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(0.5, 1.3) is the correct answer

Step-by-step explanation:

Given equations are:

y = 4x-0.8\ \ \ Eqn1\\2x+y-2.3=0\ \ \ Eqn2

As we can see that the given equations are linear equations which are graphed as straight lines on graph. The solution of two equations is the point of their intersection on the graph.

We can plot the graph of both equations using any online or desktop graphing tool.

We have used "Desmos" online graphing calculator to plot the graph of two lines (Picture Attached)

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Rounding off both coordinates of point of intersection to nearest tenth we get

(0.5, 1.3)

Hence,

(0.5, 1.3) is the correct answer

Keywords: Linear equations, variables

Learn more about linear equations at:

  • brainly.com/question/4228574
  • brainly.com/question/4168505

#LearnwithBrainly

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Sergeeva-Olga [200]

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