what are the solutions of the following system?

[tex]\left \{ {{x -2y = -6} \atop {-2x + 4y = -3}} \right.[/tex]

Answers

Answer 1

Step-by-step explanation:

x-2y=-6 ...(1)

-2x+4y=-3 ...(2)

Multiply equation (1) by 2

So,

2x-4y=-12 ...(3)

Now add equation (2) and (3).

-2x+4y + 2x-4y = -3+(-12)

0=-15

It means that there is no solution of the given equations.


Related Questions

What is the slope of y=-x+7y?

Answers

Answer:

The slope of y=-x+7y is m = - 1.

Step-by-step explanation:

y = m x + c

The intercept is (0,7) | constant term.

The slope is m=1/6.

What is the definition of a number trick? (Math)

Answers

Answer:

How does the number trick work?

Trick 1: Think of a number

Pick a whole number between 1 and 10.

Add 2.

Multiply by 2.

Subtract 2.

Divide by 2.

Subtract your original number.

Everyone's final answer will be 1.

Step-by-step explanation:

The Number 5 Trick. Ask somebody to think of a number and keep it secret. Then ask that person to double the secret number and then multiply by 5. Ask for the total. Whatever the total is, knock off the last digit and you will have the secret number the person mentally chose at the start.

LEMMEBE HONEST

I HAVE NO IDEAAAA

“Think-of-a-number” tricks

These tricks come in two types: Think of a number (but don't tell me), do some arithmetic with that number, and I can predict your result. Think of a number, do some arithmetic, tell me your result, and I can instantly say what number you started with.

Hope this helps!

Sending U good luck!

Zachary is planning to send a video game to each of his two brothers. If he buys the same game for both
brothers and pays $6.25 to ship each game, how much can he spend on each game without spending
more than $100? Enter and solve an inequality for this situation. Let v be the cost of one video game.
The inequality is .
Zachary can spend no more than $
on each video game.

Answers

Answer:  The required amount of money spent on each of the two video games is less than or equal to 45.25.

Step-by-step explanation:  Given that Zachary is planning to send a video game to each of his two brothers. He buys the same game for both brothers and pays $4.75 to ship each game.

We are to write and solve an inequality find the amount spent on each game without spending more than $100.

Let $x be the amount that is spent on each of the two video games.

Then, according to the given information, the inequality can be written and solved as follows :

Thus, the required amount of money spent on each of the two video games is less than or equal to 45.25.

Lydia buys 5 pounds of apples and 3 pounds of bananas for a total of $8.50. Ari buys 3 pounds of apples and 2 pounds of bananas for a total of $5.25. Determine a system of equations that represents the given the situation. Let x be cost per pound of apples and let y be the cost per pound of bananas. Which equation represents the amount of money Lydia spent of apples and bananas? Which equation represents the amount of money Ari spent on apples and bananas?

Answers

Answer:

5x+3y=8.50 and 3x+2y=5.25

Step-by-step explanation:

because i got it correct

Answer:

b and c

Step-by-step explanation:

Points (−6, 3) and (−6, −3) on the coordinate grid below show the positions of two dogs at a park:






Which statement best describes the relationship between the positions of the two players?

Dog 1's position is Dog 2's position reflected across the y-axis; only the signs of the y-coordinates of Dog 1 and Dog 2 are different.
Dog 1's position is Dog 2's position reflected across the x-axis; only the signs of the y-coordinates of Dog 1 and Dog 2 are different.
Dog 1's position is Dog 2's position reflected across the x-axis; only the signs of the x-coordinates of Dog 1 and Dog 2 are different.
Dog 1's position is Dog 2's position reflected across the y-axis; only the signs of the x-coordinates of Dog 1 and Dog 2 are different.

Answers

Answer:

The answer is B.

Step-by-step explanation:

Points (−6, 3) and (−6, −3) on the coordinate grid below show the positions of two dogs at a park:

A coordinate plane is shown. There is a point at negative 6, 3 labeled Dog 1. There is a point at negative 6, negative 3 labeled Dog 2.

Algebra 1
S.4 Find the slope from
Find the slope of the line that passes through (3, 4) and (10, 1).
Simplify your answer and write it as a proper fraction, improper fraction, or Integer.
Submit

Answers

Answer:

-3/7

Step-by-step explanation:

slope = (y2-y1)/ (x2-x1) = 4-1/3-10 = 3/-7

Set up an equation (part + part = whole). Solve the equation to find the value of x. 10 + x + x + 20 = 12

Answers

Answer:

x is equal to -9 thus it becomes -18 in the whole setup

x^2 − 15 = 1 please help

Answers

Answer:

x^2-15=1

x^2=16

4 x 4 = 16

THerefore...

x=4

Depending on how many choices there are -4 is also correct.

Any number squared is a positive.

x=4, x=-4

Step-by-step explanation:

A price is decreased by 5% and is now £779.
Work out the original price.

Answers

Answer:

820

Step-by-step explanation:

779/x = 95/100

779×100

77,900 ÷ 95

820

3.
For each expression, combine like terms and write an equivalent expression with fewer terms.
a.
4x + 3x
b.
3x + 5x – 1
C.
5 + 2x + 7 + 4x
d.
4 - 2x + 5x
e.
10x – 5 + 3x – 2

Answers

A. 7x

B. 8x-1

C. 6x+12

D. 3x +4

E. 13x-7

The like terms combined and equivalent expressions are given below.

What is a expression? What is a mathematical equation? What do you mean by domain and range of a function?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.For any function y = f(x), Domain is the set of all possible values of [y] that exists for different values of [x]. Range is the set of all values of [x] for which [y] exists.

Given are the following expressions -

a. 4x + 3x

b. 3x + 5x – 1

c. 5 + 2x + 7 + 4x

d. 4 - 2x + 5x

e. 10x – 5 + 3x – 2

We have -

[A] -

4x + 3x

4x + 3x = 7x

[B] -

3x + 5x – 1

3x + 5x – 1 = 8x - 1

[C] -

5 + 2x + 7 + 4x

5 + 2x + 7 + 4x = 6x + 12 = 6(x + 2)

[D] -

4 - 2x + 5x

4 - 2x + 5x = 3x + 4

[E] -

10x – 5 + 3x – 2

10x – 5 + 3x – 2 = 13x - 7

Therefore, the like terms combined and equivalent expressions are given above.

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what is 15/8 simplyfied ?

Answers

Answer:

mixed number 1 7/8 or decimal form 1.875

Answer:

it cant be simplified but it can be converted into a mixed number. which is

1 7/8. hope this helps <3

Step-by-step explanation:

A count went from 605 to 203. What was the approximate percent decrease? Round the numbers to find an estimate of the percent decrease.

Answers

Answer:

66 %

Step-by-step explanation:

it is 66% because 203 is less than half of 605 .So, you would add together .

203+203=406   Thats not even close to 605 so now you add almost half so that would be about 66%

IT'S D

HOPE THIS HELPED MARK ME BRAINLIST PLS

El precio del saco de arroz es a 2 como el precio del saco de azúcar es a 3; si el producto de ambos precios es numéricamente 3 456, calcula el precio del saco de azúcar.

Answers

Answer:

El precio del saco del azúcar es de 72.

Step-by-step explanation:

Sean [tex]x[/tex], [tex]y[/tex] los precios del saco de arroz y el saco de azúcar, respectivamente. A continuación, traducimos cada oración relevante en ecuaciones matemáticas:

(i) El precio del saco de arroz es a 2 como el precio del saco de azúcar es a 3:

Aquí se menciona una igualdad entre expresiones racionales, es decir:

[tex]\frac{x}{2} = \frac{y}{3}[/tex]

[tex]3\cdot x -2\cdot y = 0[/tex] (1)

(ii) El producto de ambos precios es numéricamente 3456:

[tex]x\cdot y = 3456[/tex] (2)

Ahora resolvemos el sistema de ecuaciones, despejamos [tex]x[/tex] en (1):

[tex]x = \frac{2}{3}\cdot y[/tex]

Y la aplicamos en (2):

[tex]\frac{2}{3}\cdot y^{2} = 3456[/tex]

[tex]y^{2} = 5184[/tex]

[tex]y = 72[/tex]

El precio del saco del azúcar es de 72.

What is the simplified form of the expression V-64?

Answers

Answer:

v32

Step-by-step explanation:

i think not sure tho

In order to add or subtract matrices, what requirement must the matrices have?​

Answers

Answer:

The must have the same dimension

Step-by-step explanation:

Two matrice may be added or subtracted only if they have the same dimension; that is, they must have the same number of rows and columns.

When we add 2 matrices the matrices should be of the same size and same dimension

A matrix is referred to as the collection of numbers or variables arranged in a set of rows and columns, where each number or variable is referred to as an "element".

In order to perform addition or subtraction on matrices, they must be of the same size and dimension ie. two matrices must have an equal number of rows and columns. Simply add or subtract the numbers in each corresponding position of the first matrix with the number in the same position of the second matrix. The sum of two matrices A and B will be a matrix that has the same number of rows and columns as A and B. The sum of A and B denoted A + B, is computed by adding corresponding elements of A and B

A=[tex]\left[\begin{array}{ccc}a1&a2\\a3&a4\end{array}\right][/tex]  B=[tex]\left[\begin{array}{ccc}b1&b2\\b3&b4\end{array}\right][/tex]

A+B=[tex]\left[\begin{array}{ccc}a1+b1&a2+b2\\a3+b3&a4+a5\end{array}\right][/tex]

To learn more about Matrices

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Dos padres de familia deseaban saber cuáles son los costos de los uniformes escolares que compraron a sus hijos, ya que el primero padre de familia realizó la siguiente compra: 2 pantalones y 2 playeras pagando por ello $820, el segundo padre de familia realizó la siguiente compra, 1 pantalón y 3 playeras pagando por ello $490. Resuelve los siguente cuestionamientos ¿Los padre de familia pagaron al mismo precio cada pantalón y playera? ¿Existe diferencia entre x e y en la ecuación 1 y con respecto a la ecuación 2?

Answers

Answer:

a) ¿Pagaron los padres el mismo precio por cada pantalón y camisa?

Sí, los padres pagaron la misma cantidad por cada pantalón y camisa porque,

1 camisa = $ 40

1 pantalón = $ 370

b) ¿Hay alguna diferencia entre xey en la ecuación 1 y con respecto a la ecuación 2?

Sí, hay una diferencia

Step-by-step explanation:

Dos padres querían saber el costo de los uniformes escolares que compraban para sus hijos, ya que

Representemos pantalones = p

camisas = s

Derivamos las 2 ecuaciones

El primer padre hizo la siguiente compra: 2 pantalones y 2 camisas pagando $ 820 por ella

2p + 2s = 820 ........ Ecuación 1

El segundo padre hizo la siguiente compra, 1 pantalón y 3 camisas pagando $ 490.

p + 3s = 490 ....... Ecuación 2

p = 490 - 3 s

Resolvamos el precio de cada pantalón y camisa.

Nosotros sustituimos

2p + 2s = 820

2 (490 - 3 s) + 2 s = 820

980 - 6s + 2s = 820

980 - 820 = 6 segundos - 2 segundos

160 = 4 s

s = 160/4

s = $ 40

Por lo tanto, el costo de cada camisa = $ 40

El costo de los pantalones =

p = 490 - 3 s

p = 490 - 3 (40)

p = 490 - 120

p = $ 370

El costo de cada pantalón = $ 370

Resuelve las siguientes preguntas.

a) ¿Pagaron los padres el mismo precio por cada pantalón y camisa?

Sí, los padres pagaron la misma cantidad por cada pantalón y camisa porque,

1 camisa = $ 40

1 pantalón = $ 370

b) ¿Hay alguna diferencia entre xey en la ecuación 1 y con respecto a la ecuación 2?

Sí, hay una diferencia

Planteando y resolviendo un sistema de ecuaciones, veremos que cada playera cuesta $40 y cada pantalon cuesta $370.

Definamos:

x = precio de pantalonesy = precio de playeras.

Por la información dada, tenemos que:

2*x + 2*y = $820

1*x + 3*y = $490

Primero respondamos las preguntas:

Notar que ambas preguntas basicamente preguntan la misma cosa:

¿Existe diferencia entre x e y en la ecuación 1 y con respecto a la ecuación 2?

Es realmente imposible saber la respuesta, pero debemos asumir que no, dado que si x e y representan diferentes cosas en cada ecuación, entonces las variables no estan definidas, y el problema es imposible de resolver.

Así que asumimos que los precios son los mismos.

con esto en mente, podemos resolver el sistema:

2*x + 2*y = $820

1*x + 3*y = $490

Primero, aislamos una variable en una ecuación, en este caso voy a aislar x en la segunda:

x = $490 - 3*y

Reemplazamos eso en la primera:

2*($490 - 3*y) + 2*y = $820

$980 - 4*y = $820

$980 - $820 = 4*y

$160/4 = y  = $40

Es decir, el precio de cada playera es $40.

Mientras que:

x = $490 - 3*$40 = $370

Cada pantalon cuesta $370

Si quieres aprender más, puedes leer:

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Felicia ran a 4-mile race in 28 minutes. Complete the table to represent Felicia’s average rate of speed during the race.

Answers

Answer:

she runs an average 1mile every 7 minutes

Step-by-step explanation:

sorry if this does not help if this is not what u r looking for maybe clarify

hope this helps also i don't see where the chart is for the question

Write the first step you would take to solve each equation.
2. -4x - 6= -10x

Answers

Answer:

x=1 (Ans)

Step-by-step explanation:

2..-4x-6=-10x

-4x+10x=6

6x=6

x=6 divided by 6

Therefore, x=1(Ans)

The function y=2x+6 is shifted down 8 units. What is the equation of the new function?

Answers

Answer:

y = 2x -2

Step-by-step explanation:

When you shift down or up, you move down or up the y-axis. Here, the 6 was the y-intercept, so you subtract 8 from 6.

Alex bought 3 tacos for $4.00. How much would she have to pay for 10 tacos at this rate?

Answers

Answer = 13$
Explanation = This would mean each taco would be roughly 1.3$ since 4/3=1.333, so 1.3x10=13$

Plz I need help!!!!!!!!!!!!!!!!!!

Answers

Answer:

The correct answer is 2437.5

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Larry shaded this area model to show an expression.

A model with 6 rows of 5 orange squares and 6 rows of 7 blue squares.

Which expressions did Larry model?
Check all that apply.
5(7)
30 + 42
6 + (5)(7)
6(5 + 7)
(6)(5) + (6)(7)

Answers

Answer:

The answers are B,D,E

Step-by-step explanation:

Answer:

bde

Step-by-step explanation:

Help me ASAP Please!!!!

Answers

that's a lot of damage  

that’s a lot of damage

Jenny is piloting an airplane at point A sees others at b and c. For the pilot of airplane b, calculate the angle between the lines of sight to the airplane at c and Jenny's airplane to the nearest tenth of a degree

Answers

Answer:

Step-by-step explanation: 5

The angle between the lines of sight to the airplane at c and Jenny's airplane to the nearest tenth of a degree is 25.1°.

What are trigonometric identities?

There are three commonly used trigonometric identities.

Sin x = 1/ cosec x

Cos x = 1/ sec x

Tan x = 1/ cot x or sin x / cos x

Cot x = cos x / sin x

We have,

From the figure,

Cosine theorem:

Cos 120° = (4.2² + 5.7² - BC²) / (2 x 4.2 x 5.7)

-0.5 = (17.64 + 32.49 - BC²) / 47.88

-23.94 = 50.13 - BC²

BC² = 50.13 + 23.94

BC = √(74.07)

BC = 8.6

Sine theorem:

BC / Sin ∠A = AC / Sin ∠B

8.6 / Sin ∠A = 4.2 / Sin ∠B

8.6 / 120 = 4.2 / Sin ∠B

Sin ∠B = (4.2 x 120) / 8.6

Sin ∠B = 58.60

∠B = 25.1°

Thus,

The angle is 25.1°.

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find the missing angle

Answers

129 degrees is the correct answer for the missing angle number 1 :)

Charlotte is working two summer jobs, making $21 per hour tutoring and $14 per hour clearing tables. Last week Charlotte worked twice as many hours tutoring as she worked hours clearing tables hours and earned a total of $168. Graphically solve a system of equations in order to determine the number of hours Charlotte worked tutoring last week, x,x, and the number of hours Charlotte worked clearing tables last week, yy.

Answers

Answer: this is the answer please follow to the explanation

Step-by-step explanation:

21x + 14y = 168. X=2y

14y = -21x +168. 2y=x

14 divided by 14 on one side and

-21 + 168 divided by 14 on the other side

You should get...

Y= -3/2x +12

For part 2 where they want you to put the 2 numbers in, you should put the point they intercept which is (6,3).

Well, have a good day

Use intercepts to graph the line described by the equation 2x − 2y = 8.

Answers

So what you wanna do is graph a point at (0, -4) because the y intercept is -5 after you turn this into y intercept form.

Then what you have to do is graph the slope -1 so from the pint you just graph go down one and left one and keep on doing that until you reach the x axis.

The point which is on the x axis is the x intercept


Pls mark brainleist

Answer:

y = x + 4  

Step-by-step explanation:

Slope intercept :  2x - 2y = 8  =  2x     2x  = 8 + 2y   =  2x = 8 +2y   = 2x-8 =2y is the sae as 2y = 2x -8 divide everything by 2  = 2x / 2 - 8/2  = 2y/2 = y = x-4    

I attached a file pls answer quick i gotta sleep

Answers

Answer:

P(2, 3.5)

Step-by-step explanation:

If P partitions AB in the ratio 1:1, then P is the midpoint of AB

Using midpoint formula to find its coordinates

A = (1, 2), B = (3, 5) as per graph

Finding P:

P = ((1+3)/2, (2+5)/2) = (2, 3.5)

Jasmine gets paid to do chores around her house. She earns $3.00 every 20 minutes that she cleans the gutters. She earns $3.60 every 20 minutes that she mows the lawn. It took her 40 minutes to clean the gutters and 2 hours to mow the lawn. How much money did Jasmine earn?

Answers

Answer:

$24

Step-by-step explanation:

Step one:

given data

we are told that she earned $3 every 20minute for gutter cleanup

and for mow, she earns $3.6 every 20 minutes.

Step two;

1. For a 40 minutes gutter cleanup she will make

=3*40/20

=3*2

=$6

1. For a 2 hours mow she will make

2 hours is 120 minutes

=3.6*120/20

=3*6

=$18

So in total she earned 6+18= $24

can anyone help me with this question?

Answers

Answer:

The answer is D, or 5/7

Answer:

The slope is 5/7

Step-by-step explanation:

From a point to get to the next point, you would need to go 5 up and 7 to the right in this graph.

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