What is the solution to this system of linear equations?

y − 4x = 7

2y + 4x = 2

A. (3, 1)
B. (1, 3)
C. (3, −1)
D. (−1, 3)

I WILL MARK AS BRAINLIEST IF CORRECT!

Answers

Answer 1

Answer:

[tex]x = - 1[/tex]

[tex]y = 3[/tex]

Step-by-step explanation:

[tex]y - 4x = 7(eqn \: 1)[/tex]

[tex]2y + 4x = 2(eqn \: 2)[/tex]

[tex]solving \: by \: eliminating \: one \: variable[/tex]

[tex](y - 4x = 7)[/tex]

[tex] + (2y + 4x = 2)[/tex]

[tex]3y = 9[/tex]

[tex]y = 3[/tex]

[tex]y - 4x = 7[/tex]

[tex]3 - 4x = 7[/tex]

[tex] - 4x = 7 - 3[/tex]

[tex] \frac{ - 4x}{ - 4} = \frac{4}{ - 4} [/tex]

[tex]x = - 1[/tex]

Answer 2

The solution to this system of linear equations will be (–1, 3). Then the correct option is D.

What is the solution of the equation?

The solution of the equation means the value of the unknown or variable.

The equations are given below.

 y − 4x = 7   ...1

2y + 4x = 2  ...2

Add both equations, then we have

3y = 9

 y = 3

Put y = 3 in equation 1, then we have

3 − 4x = 7

     4x = –4

       x = –1

The solution to this system of linear equations will be (–1, 3).

Then the correct option is D.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ2


Related Questions

what is 4/7 in the lowest terms

Answers

Answer:

4/7 is already in lowest terms

What is the solution of the equation modeled below?

Answers

Answer:

3x+4=7x-8

Step-by-step explanation:

hoped it helped..

Solve the equation. Determine the number of solution. -8(x - 3) = -8x-24
No solution
O One solution
0 Infinitely many solutions

Answers

The answer is no solution

what is the x variable and y variable? ​

Answers

Answer:

x is the hours worked and y is the money earned

Step-by-step explanation:

Usually the x variable is the independent variable

The independent variable is the variable that does not rely on anything

The y variable is the dependent variable

The dependent variable is the variable that relies on the independent variable

In this case the money earned depends on how many hours you work for

I hope this helps :)

Answer:

I believe that it would be x is hours worked and y is dollars earned but I could be wrong I skipped a year of math because I completed it so quickly now I cant remember some stuff

Question 2
The cell membrane controls what enters and exits the cell to maintain
A.energy
B. Photosynthesis
C.respiration
D.homeostasis

Answers

Answer D is correct

Terry has $5.79 to go shopping Which mixed number below is the fraction equivalent to $5.79? 500 a 5 79/100 b. 5 79/1000 57 9/100 d 57 9/10​

Answers

Answer:

579/100 is the same if u turned it into a decimal it would be 5.79

Step-by-step explanation:

you would do 579 divided by 100 and that will give you 5.79  

Answer:

the answer is 579/100

Step-by-step explanation:

Please help look at the picture

Answers

Answer:

The correct answer would be D

‼️Help please‼️
A tank full of water is leaking at a constant rate for 30 minutes. The equation y= -7x + 300 gives the amount of water in the tank, where y is the number of liters and x is the number of minutes since the tank began to leak. Which statement is true?

Answers

Answer: A

The answer should be A. you probably answered the questoion alr so sorry if you got it wrong

Step-by-step explanation:

it should be A because its not C and D, and B doesnt make sense because it never mentioned anything about 20 minutes.

What is the answer to each problem? Please hurry :)

I will give Brainlest to whoever answers correctly, thank you.

Answers

Answer:

Step-by-step explanation:

Clue #6 is -5/4 (first option)

Clue #7 is 1/8 (second option)

Clue #8 is -7/6 (first option)

Clue #9 is -10/7 (last option)

Clue #10 is 10 (last option)

Formula One race cars can reach speeds of approximately 100 meters per second. What is this speed in meters per minute?

0.6 meters per minute
1.67 meters per minute
600 meters per minute
6,000 meters per minute

Answers

Answer:

6,000 meters per minute

Step-by-step explanation:

Answer:

D. 6,000 meters per minute

Step-by-step explanation:

It's right on edg 2020

hope it helps (;

Have a good day and good luck !!!!!!!!!!!!!!!!!!!!!!!!!!!!!

PLS , help me asap :(( , im so frustrated , idk how to do these :c

Answers

Answer:

y intercept = 5

Step-by-step explanation:

In analytic geometry, using the common convention that the horizontal axis represents a variable x and the vertical axis represents a variable y, a y-intercept or vertical intercept is a point where the graph of a function or relation intersects the y-axis of the coordinate system. As such, these points satisfy x = 0.

Answer:

Step-by-step explanation:

i don't want to make u mad but i'm taking a test with that same question and i got 29.25 but i'm also not the smartest

Tell me a fun fact about horses will give BRAINLIEST to whoever tells me something I don’t know (I have been riding for 12 years) so I know a lot of things (also don’t tell me they can sleep standing up I already know that it’s kinda obvious)

Answers

Here are a few fun facts:

A 19th century horse named 'Old Billy' is said to have lived 62 years.

Horses can sleep both lying down and standing up.

Horses can run shortly after birth.

Horses have around 205 bones in their skeleton.

Horses have been domesticated for over 5000 years.

Horses use their ears, eyes and nostrils to express their mood.

Because horse’s eyes are on the side of their head they are capable of seeing nearly 360 degrees at one time.

The fastest recorded sprinting speed of a horse was 88 kph (55 mph). Most gallop at around 44 kph or 27 mph.

The Przewalski’s horse is the only truly wild horse species still in existence. The only wild population is in Mongolia. There are however numerous populations across the world of feral horses e.g. mustangs in North America.

I hope you learned something new!

Perform the indicated operations:
-1
4
-4
4
-4
-1
6
-7
-4
-7
-4
2R2 + R3 R3
-4
6
2
-4
8
2
6
-4
30

Answers

Answer:

Step-by-step explanation:

The solution is, resulting matrix:[tex]\left[\begin{array}{ccc}4&-1&-4\\-4&6&2\\0&8&10\end{array}\right][/tex][tex]\left[\begin{array}{ccc}-7\\-4\\22\end{array}\right][/tex].

What is Matrix?

In mathematics, a matrix is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns, which is used to represent a mathematical object or a property of such an object. For example, is a matrix with two rows and three columns.

here, we have,

given that,

We are given a matrix,

Let A=[tex]\left[\begin{array}{ccc}4&-1&-4\\-4&6&2\\8&-4&6\end{array}\right][/tex]

and B=[tex]\left[\begin{array}{ccc}-7\\-4\\30\end{array}\right][/tex]

We have to find the resulting matrix after performing given row operations

2R2 +R3 ⇒ R3

Apply

we get,

:A=[tex]\left[\begin{array}{ccc}4&-1&-4\\-4&6&2\\0&8&10\end{array}\right][/tex]

and, B=[tex]\left[\begin{array}{ccc}-7\\-4\\22\end{array}\right][/tex]

Hence, resulting matrix

[tex]\left[\begin{array}{ccc}4&-1&-4\\-4&6&2\\0&8&10\end{array}\right][/tex][tex]\left[\begin{array}{ccc}-7\\-4\\22\end{array}\right][/tex]

To learn more on matrix click:

brainly.com/question/30646566

#SPJ7

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.

For f(x) = -x + 8, which statement is true?

Answers

The answer is B I took the test

don't guess!! pls help!!
THERE'S 4 IMAGES.

Answers

Answer:

pic one is rock cycle, pic 2 crystaline structure, and pic three and 4 are the same pictures as question 2

Step-by-step explanation:

HELP MY BROTHER NEEDS HELP WITH AN ASSIGNMENT BUT I DO NOT KNOW HOW
Order the values from least to greatest. |–4|, 10, –12, |3| A. |–4|, |3|, 10, –12 B. |3|, |–4|, 10, –12 C. –12, |–4|, |3|, 10 D. –12, |3|, |–4|, 10

Answers

The answer is letter C.

Step-by-step explanation:

hope this helps

-12 < -4 < 3 < 10

Answer:

D. –12, |3|, |–4|, 10

Step-by-step explanation:

| - 4|, 10, - 12, |3|

4, 10, - 12, 3

- 12, 3, 4, 10

-10-2r=-3r-7+r how many solutions does this equation have will mark brainlest

Answers

Answer:

no solution

Step-by-step explanation:

plz help


Simplify:
- 1.2+15.45

Answers

Answer:

- 1.2+15.45=14.43

Step-by-step explanation:

Ariana borrowed some money from her friend in order to help buy a new video game system. Ariana originally borrowed $150 and agreed to pay back her friend $15 per week

Answers

Answer:

if it how long it will it take to pay her friend back its 135 weeks

Step-by-step explanation:

plz help I'll give brainest

Answers

Answer:

B

Step-by-step explanation:

absolute value is 2½

hope it helped

Answer: B

Why?
The absolute value of a positive number is positive, the answer is 2 1/2

1. 7.35 x 10 6 – 9.42 x 10 8
2. 3.14 x 10 -3+1.59 x 10 -1
3. (2 .8x 10 -9 )(4.75 x 10 -3 )
plz hurry

Answers

I so the first one the solution is -238.6 hope it helps

Two students used different methods to measure the length of their model bridge

project. One student measured the bridge length in feet using 11n−2.9. The second

student measured the bridge length in feet using 5n + 6.4 What is the value of n if

the two measurements are equal?

Answers

Answer:

Two students used different methods to measure the length of their model bridge

project. One student measured the bridge length in feet using 11n−2.9. The second

student measured the bridge length in feet using 5n + 6.4 What is the value of n if

the two measurements are equal?

Step-by-step explanation:

Two students used different methods to measure the length of their model bridge

project. One student measured the bridge length in feet using 11n−2.9. The second

student measured the bridge length in feet using 5n + 6.4 What is the value of n if

the two measurements are equal?

Mary is buying hair clips online. The online store charges a fee for each hairclip and a shipping fee. On Monday, Mary placed an order for 8 hairclips, and her total came to $33.75. On Friday, she placed an order for 11 hair clips, and her order came to $44.25. Find the price of each hair clip and the price of shipping.

Answers

$4 a clip $1.00 for shipping for each order because 33.75x44.25=78
4x19(clips total)= 76
78-76=2
2/2=1
so $1 for shipping for each order and $4 a clip

Mike has a loan of $36,320. This loan has a simple interest rate of 6% per year. What is the
amount of interest that will be charged on this loan at the end of the first year?
Help:(

Answers

Answer:

ummm well that hard let me solve it real quick

Step-by-step explanation:

:/

3x²+5x-10=0 find the values of a,b and c​

Answers

Answer:

a = 3

b = 5

c = -10

Step-by-step explanation:

ax^2+bx+c

Please help !!! I don't understand

Answers

Answer:

P=160+6x

Q=x+40

H=4x-5

P+Q+H=180...P=61.82

Triangles ABC and DEF are similar. Find e.

A.) 11
B.) 12
C.) 10
D.) 9

Answers

Answer:

C) 10

Step-by-step explanation:

The triangle on the right shows that the side AB is 4 and the triangle on the left shows that the side DE is 8. Based on these two numbers I can conclude that the triangle DEF is double the size of triangle ABC. With this information, I can find e by doing 5*2=e and get 10 as my answer.

Hope this helps you :)

The answer is C.10 (:

If 7^9/7^n = 7^3, then n is___.
12
01
-3
3

Answers

Answer: 6, but it isn't in your answer choices

Step-by-step explanation: When dividing exponents with the same base, subtract the bottom exponent from the top. In this case, you get 3 from subtracting n from 9, so n should be 6

x/6+12=(-12). solve for x

Answers

If 6 is the denominator of the first part of the equation then x=-144

Answer:

x=-144

Step-by-step explanation:

[tex]\frac{x}{6} +12=-12[/tex] subtract 12 on both sides

[tex]\frac{x}{6}=-24[/tex] multiply by six

x=-144

Other Questions
ana buys a sweater for $25.60, and it is on sale for 35% off. what is the amount of the discount? Given 2x+4y=12 what is the x and y int HEy GuYs THis Is Easyy, helP Me PleaSe, iLL mArk you BrainLieSt Which sentence is a run-on sentence?A. Although Izzy was young, she had been on many hikes with her dad.B. Ben and Izzy both enjoyed hiking, so they went hiking together often.C. Sarah, Ben's other daughter, was not interested in hiking so she stayed home.D. Ben wanted to make sure Izzy was prepared to hike; therefore, he taught her hiking safety. According to the text, how have people's expectations for food and drink portions changed over the last 50 or 60 years? Cite evidence from the text in your response. who likes my hero acadamea? who is your fave carector mine is the cenimon roll can someone help me with this asap. Why do people always seek for money instead of wisdom Which of the following is a characteristic of a base?A. pH greater than 7B. pH between 4 and 13C. pH between 4 and 9D. pH less than 7 Mention any three ways of making salt. (please help me Asap) PLEASE ANSWER Students in the science lab are measuring the mass of an object on a triple beam balance. The object has a mass of 38 grams. Complete the table below with the absolute and percent error for each students measurement. Round your answer to the nearest tenths place. If you can, answer this please! Thank u!!! Which of the following statements is one claim that the speaker makes in this passage? Answer choices for the above question A. The students have already faced more difficult challenges than many other young people. B. Many leaders are saying that it is not a problem if one causes damage to the environment. C. The students need to use their education to contribute to their community instead of focusing on developing themselves. D. Students can find significant strengths in the struggles that they have already overcome.Your Turn 1This question has two parts. First, answer Part A. Then, answer Part B.Reread paragraphs 2529 of the selection to determine the answers to the follow-up questions.From Commencement Address to the Santa Fe Indian SchoolI am so passionate about this because your communities need you. They need you to develop your potential and become who youre meant to be. And that goes for every student in here who is thinking about dropping out, who is feeling discouraged. Your community needs you. And more than ever before, our world needs you, too.And you dont need your First Lady to tell you that. All you have to do is tune in to the news and youll see that right now, some of the loudest voices in our national conversation are saying things that go against every single one of the values that youve been living at this school. Theyre telling us that we should disrespect others because of who they are or where they come from or how they worship. Theyre telling us that we should be selfishthat folks who are struggling dont deserve our help, that we should just take what we can from life and not worry about anyone else. And theyre saying that its okay to keep harming our planet and using our land, our air, our water however we wish.But, graduates, you all know that those are not the values that shape good citizens. Those are not the values that build strong families and communities and nations. You know this. So we desperately need your voices and your values in this conversation reminding us that were all connected, were all obligated to treat one another with respect, to act with integrity, to give back to those in need. Now, I know that perhaps Im asking a lot of all of you. And I know that sometimes all those obligations might feel like a heavy burden. I also know that many of you have already faced and overcome challenges in your lives that most young people cant even begin to imaginechallenges that have tested your courage, your confidence, your faith, and your trust.But, graduates, those struggles should never be a source of shameneverand they are certainly not a sign of weakness. Just the opposite. Those struggles are the source of your greatest strengths. Because by facing adversity head on and getting through it, you have gained wisdom and maturity beyond your years. Ive seen it in you. Youve developed resilience that will sustain you throughout your lives. Youve deepened a well of compassion within yourselves that will help you connect with and give back to others who struggle. Joseph has 1/2 of a sub left after lunch. He eats 1/4 of this amount for snack. what fraction of a whole sub did Joseph eat for snack The mid segment of the triangle is 5x-1. Find the value of x. Mrs canales class is selling pizza to earn money for a field trip. For every pizza sold the class makes $5.35. They have already earned $182.90 toward their $750 goal. How many more pizzas must they sell to earn $750 (algebraic approach) Thanks All 40 turkeys are in a pen. 1/4 are sleeping. 1/8 are eating, and 5/8 of them are hiding from the butcher. How many are sleeping How many are eating How many are hiding What value of x will make this equation true?8 (3x + 3) = 3 (9x -9) 1. What is the function of the cell membrane? ___________________________________________2. Explain how the cell membrane maintains homeostasis. _____________________________________________________________________________________________________________________ How do you translate "Is Diana coming?" -- using the progressive 'ing' in Spanish?