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PolarNik [594]
2 years ago
14

USE THE INFORMATION AT

Mathematics
1 answer:
IceJOKER [234]2 years ago
6 0

Answer:True

Step-by-step explanation:

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Alejandro loves to go to the movies. He goes both at night and during the day. The cost of a matinee is 7 dollars. The cost of a
saw5 [17]

Answer:

<u>Alejandro went to 8 matinee shows and 4 evening shows.</u>

<u>Our system of equations:</u>

<u>x + y = 12</u>

<u>7x + 12y = 104</u>

Correct statement and question:

Alejandro loves to go to the movies. He goes both at night and during the day. The cost of a matinee is 7 dollars. The cost of an evening show is 12 dollars.

Alejandro went to see a total of 12 movies and spent $ 104. How many of each type of movie did he attend? Write a system of equations.

Source:

Previous question that can be found at brainly

Step-by-step explanation:

Step 1:

Let x to represent the number of matinee shows Alejandro went to.

Let y to represent the number of evening shows Alejandro went to.

Now, let's write our system of equations:

x + y = 12

7x + 12y = 104

*********************

x = 12 - y

*********************

7 (12 - y) + 12y = 104

84 - 7y + 12y = 104

5y = 104 - 84

5y = 20

y = 20/5

<u>y = 4 ⇒ x = 12 - 4 = 8</u>

<u>Alejandro went to 8 matinee shows and 4 evening shows.</u>

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Answer:

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Step-by-step explanation:

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-10x-6y=0 -4x -6y=54 find the solution of this system of equations
ad-work [718]

You can see that the term -6y appears in both equations. In this cases, we can leverage this peculiarity and subtract the two equations to get rid of the repeated term. So, if we subtract the first equation from the second, we have

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Now that we know the value of x, we can substitute in any of the equation to deduce the value of y: if we use the first equation, for example, we have

-10x-6y=0 \iff -10\cdot 9 - 6y = 0 \iff -90-6y=0 \iff 6y = -90 \iff y = -15

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