Carmen compro 5 blusas y 4faldas por 300 Gaby adquirió 2 blusas y 6 faldas por 230cual es el precio de cada blusa y de cada falda?

Answers

Answer 1

Answer:

El precio de cada falda es 25.

El precio de cada blusa es 40.

Step-by-step explanation:

Un sistema de ecuaciones es un conjunto de ecuaciones con las mismas incógnitas. Un  sistema de ecuaciones lineales es un sistema de ecuaciones en el que cada ecuación es lineal.

Entonces, un sistema de ecuaciones lineales es un conjunto de dos o más ecuaciones de primer grado, en el cual se relacionan dos o más incógnitas.

Una solución de un sistema es una asignación de valores para las incógnitas que hace  verdadera cada una de las ecuaciones. Es decir, resolver un sistema de ecuaciones consiste en encontrar el valor de cada incógnita para que se cumplan todas las ecuaciones del sistema.

En este caso, se debe plantear un sistema de ecuaciones, donde las variables son:

x= precio de una blusa.y= precio de una falda.

Carmen compro 5 blusas y 4 faldas por 300. Esto se plantea mediante la expresión:

5*x + 4*y= 300

Gaby adquirió 2 blusas y 6 faldas por 230, expresado mediante la expresión:

2*x + 6*y=230

Entonces el sistema de ecuaciones a resolver es:

[tex]\left \{ {{5*x+4*y=300} \atop {2*x+6*y=230}} \right.[/tex]

En el método de sustitución se comienza con una ecuación en el sistema y se despeja una  incógnita en términos de la otra incógnita. En este caso, despejando x de la primer ecuación se obtiene:

5*x= 300 - 4*y

[tex]x=\frac{300 - 4*y}{5}[/tex]

A continuación se sustituye la expresión hallada en la otra ecuación, para  obtener una ecuación con una incógnita y, a continuación se despeja esa incógnita. Entonces:

[tex]2*\frac{300 - 4*y}{5} + 6*y= 230[/tex]

[tex]\frac{2}{5}*(300 - 4*y) + 6*y= 230[/tex]

[tex]\frac{2}{5}*300 - \frac{2}{5}*4*y + 6*y= 230[/tex]

[tex]120 - \frac{8}{5}*y + 6*y= 230[/tex]

[tex]- \frac{8}{5}*y + 6*y= 230-120[/tex]

[tex]\frac{22}{5}*y = 110[/tex]

y= 110 ÷ [tex]\frac{22}{5}[/tex]

y= 25

Entonces, el precio de cada falda es 25.

Por último, se sustituye el valor  hallado en la expresión [tex]x=\frac{300 - 4*y}{5}[/tex] para despejar la incógnita restante:

[tex]x=\frac{300 - 4*25}{5}[/tex]

x= 40

Entonces, el precio de cada blusa es 40.


Related Questions

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Answers

Answer:

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Step-by-step explanation:

-45° would be 360°-45°=315°

Since 315° is in Quadrant IV, then its reference angle is 360°-315°=45°

So really, -45° is just 45° clockwise which is also our reference angle.

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Answer:

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Answers

Answer:

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Given what you know about the figure, complete these sentences.

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Answer and Step-by-step explanation:

1.

4 yards plus 8 yards equals 12 yards.

2 feet plus 2 feet equals 4 feet.

This totals to 12 yards and 4 feet.

2.

29 feet plus 5 feet equals 34 feet.

6 inches plus 5 inches equals 11 inches.

This totals to 34' 11".

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Answers

Answer:

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Step-by-step explanation:

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Answer:

x = 7

Step-by-step explanation:

Intersecting secants theorem:

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

Possible answers

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Answer:

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Answer:

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Step-by-step explanation:

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Answer:

answer: 27

Step-by-step explanation:

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Answers

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Step-by-step explanation:

32. Last week, Jerry's house used 350 kilowatts of energy. If this week his
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Answer:

20%

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mis hermanos pelean
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1) Pelean

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Step-by-step explanation:

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Answers

Answer:

In order to find the distance traveled in one minute, you have to divide the distance he can ride his bike in an hour by the number of minutes in a hour. 6/60= .1 mile per minute. If he rides his bike for five minutes, then you would multiply the number of minutes biked by the distance traveled in a minute. .1*5=.5 mile, or [tex]\frac{1}{2}[/tex] mile.

Step-by-step explanation:

The cyclist will travel 4 miles in 20 minutes.

What is Speed?

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So the cyclist's speed is 0.2 miles per minute.

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Will give brainlest

No links!!

Answers

Answer:

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Step-by-step explanation:

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Answers

Step-by-step explanation:

157×233611

hope it helps

stay safe healthy and happy.

Answer:3611

Step-by-step explanation:

157

x 23

do 157 x 3

add them one at a time. 157x carry the 3 and the two, oh and don’t forget to add 0 in the end after wards.

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5x3: 17(leave 7, carry one)

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Step-by-step explanation:

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Answer:

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Answers

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Answers

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obtuse

right

isosceles

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Answers

Answer:

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Step-by-step explanation:

have a good day!

PLEASE HELP..... PLEASE THX

Answers

Answer:

x = 30 and y = 50

Step-by-step explanation:

Given that,

The cost of 4 shirts and 1 pair of pants is $170 and the cost of 5 shirts and 2 pair of pants is $250.

Let the cost of 1 shirt is x and that of 1 pant is y.

So,

4x+y=170 .....(1)

5x+2y = 250 .....(2)

Multiply equation (1) by 2.

8x+2y=340 .......(3)

Subtract equation (2) from (3).

8x+2y-(5x+2y)=340-250

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x = 30

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120+y=170

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Is this correct????????

Answers

Answer:

ummm yes

Step-by-step explanation:

I believe sooo as well


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