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

Pls answer soon lol.
................................................
(95)×(3×10^4 )

Answers

Answer:

2.85 × 10^6

Step-by-step explanation:

Answer:

2850000

Step-by-step explanation:

What error did Tracy make? She used AG = 2EG, but the correct statement is 2AG = GE. She found that x = 4, but the correct value for x is 2. She used GF = 2BG, but the correct statement is BG = 2GF. She found that GF = 64, but the correct value of GF is 8.

Answers

Answer:

C. She used GF = 2BG, but the correct statement is BG = 2GF.

Step-by-step explanation:

credits to the other person!

Answer:

C.

Step-by-step explanation:

Edge 2021

Sam paid $131 for 4 Rodeo Concert Tickets. Each ticket cost the same amount. What was the cost of each concert ticket in dollars and cents?

what i it i need help

Answers

Answer:

$32.75 each ticket

Step-by-step explanation:

131 / 4 = $32.75 each ticket

Answer:

each ticket was $32.75

Step-by-step explanation:

You need to divide 131 by 4.

I'm dumb, please help me.

Answers

75% buddy hope this help :)

Answer:

3/4

Step-by-step explanation:

15/20 is 3/4. therefore, according to the previous data, it is 3/4.

P.S. I looked at your answers and you cannot just spam random answers. thats rude and it violated the honor code. how would you feel if you posted a question and the answer was just random letters. and then you failed your test. thats not nice. and you are on canvas, because i use it too, and i know what it looks like. you cannot cheat on a test, as this is not what Brainly is for. im just so dissapointed because you disrespect others.

is a 4 sided polygon a rectangle

Answers

Answer: A rectangle is a 4-sided polygon where all four of its angles are right angles. Normally, the longer side is called the length and the shorter side is called the width. If all the sides are of equal length then it will be called a square. Area of rectangle = length × width.

Exlpination: A polygon is a closed figure with three or more straight sides. For example, a triangle is a polygon with three sides, a rectangle is a polygon with four sides, and a pentagon is a polygon with five sides.

Answer:

its a rectangle yea have a nice time

3X +17+ 5X equals 7X +10

Answers

the answer is x=-7
you minus 7x to the left side and minus 17 to the right side then you get x= 10-17 which is x=-7

Answer:

I think the answer is x= -7.

HELPPP PWEASEEEEEEEEEEEE

Answers

The answer is going to be C.
pretty sure answer is C...sorry if it’s wrong!

8 in. 8 in. 8 in Find the area of the figure above, [?] in​

Answers

Answer:

96

Step-by-step explanation:

Total area = area of cube + area of triangle

A = 8² + [tex]\frac{8*8}{2}[/tex] = 64 + 32 = 96 in²

Answer:

96 square feet

to find the area of a triangle the formula is

A=1/2×b×h

8×8=64

1/2×8×8=32

32+64= 96

The resultant of the vectors a = 3i - 2j and b = pi - 2pj is parallel to the vector c = 2i - 3j.
a) Find the value of p
b) Find the resultant of vectors a and b.

Please help me with this question, thank you ​

Answers

Part (a)

The resultant vector is the vector formed by adding the two vectors a and b. So we effectively add the corresponding components.

You can use the parallelogram law as a visual alternative.

Adding a and b leads to

a+b = (3i-2j) + (pi-2pj)

a+b = (3i+pi) + (-2j-2pj)

a+b = (3+p)i - (2+2p)j

Define vector d to be d = a+b so we can use it later below.

Recall that parallel vectors point in the same direction. This means the ratio of their components or coordinates are equal.

We can say the following

(x coord of d)/(x coord of c) = (y coord of d)/(y coord of c)

(3+p)/(2) = (-(2+2p))/(-3)

Let's solve for p

(3+p)/(2) = (-(2+2p))/(-3)

(3+p)/(2) = (2+2p)/3

3(3+p) = 2(2+2p) .... cross multiply

9+3p = 4+4p

4p+4 = 3p+9

4p-3p = 9-4

p = 5

Answer:  p = 5

========================================================

Part (b)

Since p = 5, from part (a), we can determine vector b

b = pi - 2pj

b = 5i - 2*5j

b = 5i - 10j

Then add vectors a and b to get

a+b = (3i-2j) + (5i - 10j)

a+b = (3i+5i) + (-2j - 10j)

a+b = (3+5)i - (2+10)j

a+b = 8i - 12j

Or we can say

a+b = (3+p)i - (2+2p)j  .... from part (a)

a+b = (3+5)i - (2+2*5)j ... plugging in p = 5

a+b = 8i - 12j

Note the ratio of the components of vector d and vector c are such

(x coord of d)/(x coord of c) = (y coord of d)/(y coord of c)

8/2 = -12/(-3)

4 = 4

This helps confirm the answer

You could also graph the vectors c = 2i - 3j and d = 8i - 12j to note the two lines produce the same slope -3/2. We can see that -12/8 = -3/2. Lines of the same slope are parallel lines

Answer:  8i - 12j

a.

The value of p is 5

Since vector a = 3i - 2j and vector b = pi - 2pj, the resultant of vectors a and b is R = a + b

= 3i - 2j + pi - 2pj

= (3 + p)i - 2(1 + p)j

Since R is aparallel to vector c = 2i - 3j, it implies that the cross product of R and c is zero.

The cross product of two vectors a and b is a × b = absinФ where a and b are the magnitudes of a and b and Ф is the angle between them.

So, R × c = [(3 + p)i - 2(1 + p)j] × [2i - 3j]

= (3 + p)i × 2i + (3 + p)i × (-3j) + (-2(1 + p)]j × 2i + (-2(1 + p)]j×(-3j)

= 0 - 3(3 + p)k - 4(1 + p)(-k) + 0

= -3(3 + p)k + 4(1 + p)k

= [-3(3 + p) + 4(1 + p)]k

= [-9 - 3p + 4 + 4p)]k

= [-9 + 4 - 3p + 4p)]k

=  [-5 + p]k

[-5 + p]k = RcsinФ.

Since R and c are parallel, Ф = 0°

So, Rcsin0° = Rc × 0 = 0

So,   [-5 + p]k = 0

-5 + p = 0

p = 5

The value of p is 5

b.

The resultant of vectors a and b is R = 8i - 12j

Since p = 5 and the resultant of vectors a and b is R = (3 + p)i - 2(1 + p)j

Substituting the value of p = 5 into r, we have

R = (3 + p)i - 2(1 + p)j

R = (3 + 5)i - 2(1 + 5)j

R = 8i - 2(6)j

R = 8i - 12j

So, the resultant of vectors a and b is R = 8i - 12j

Learn more about resultant of vectors here:

https://brainly.com/question/14358602

Joan wants to start an IRA that will have $860,000 in it when she retires in 29-years. How much should she invest annually in her IRA to do this if the interest is 8% compounded annually?

Answers

Answer:

Annual deposit= $8,271.94

Step-by-step explanation:

Giving the following information:

Future Value (FV)= $860,000

Number of periods= 29 years

Interest rate= 8% = 0.08

To calculate the annual deposit, we need to use the following formula:

FV= {A*[(1+i)^n-1]}/i

A= annual deposit

Isolating A:

A= (FV*i)/{[(1+i)^n]-1}

A= (860,000*0.08) / [(1.08^29) - 1]

A= $8,271.94

Henry can type 3500 words in 70 minutes. Colin can type 1500 in 30 minutes. Brian can type 2200 words in 40 minutes. Who types at the fastest rate of words per minute?

Answers

Given:

Henry can type 3500 words in 70 minutes.

Colin can type 1500 in 30 minutes.

Brian can type 2200 words in 40 minutes.

To find:

The person who types at the fastest rate of words per minute.

Solution:

We know that,

[tex]\text{Rate of words per minute}=\dfrac{\text{Number of words}}{\text{Number of minutes}}[/tex]

Using this formula, we get

[tex]\text{Henry's rate of words per minute}=\dfrac{3500}{70}=50[/tex]

[tex]\text{Colin's rate of words per minute}=\dfrac{1500}{30}=50[/tex]

[tex]\text{Brian's rate of words per minute}=\dfrac{2200}{40}=55[/tex]

Since 55>50, therefore Brian's types at the fastest rate of words per minute.

Question
Help me -.8+ 2X = .3 - x

Answers

Step-by-step explanation:

2x+x=.3+.8

3x= 1.1/:3

x=0.366

Answer:

x = -2.566667

Step-by-step explanation:

simplify both sides

8 + 2x = 0.3 - x

8 + 2x = 0.3 + - x

2x + 8 = - x + 0.3

add x to both sides

2x + 8 + x = - x + 0.3 + x

3x + 8 = 0.3

subtract 8 from both sides

3x  + 8 - 8 = 0.3 - 8

3x = -7.7

divie both sides by 3

3x/3 = -7.7/3

x = -2.566667

What is the value of the question mark in the picture below .

Answers

Answer:

84 degrees

Step-by-step explanation:

Vertical angles, then corresponding

84 because it’s vertical

Write the product of 7×2×7×2×7 in exponential form

Answers

Answer:

7³ × 2²

Step-by-step explanation:

7 × 7 × 7 × 2 × 2

7³ × 2²

343 × 4

1372

According to a survey conducted by the Texas Free Press, 125 out of 500 people do not have internet access at their homes. What percent of the people surveyed do have internet access at their homes?

Answers

Answer:

Step-by-step explanation:

Take 125 and divide by 500 this equals 0.25 or 25%

Answer:

x=25

Step-by-step explanation:

[tex]\frac{125}{500} *\frac{x}{100}[/tex] this is just a typical percent equation

[tex]12500=500x[/tex]  cross multiply

x=25 divide by 500 to get the answer

Maliah goes to an electronics store. Let y represent the price of a laptop and let z represent the price of a television. The equation
y=32 + 12 relates the prices.

Answers

Answer:

hi

Step-by-step explanation:

If 40 percent is 240 what is 25 percent

Answers

Answer:

150

Step-by-step explanation:

maybe it could be like this

0.40x = 240

we could get x = 600

then 0.25x = 600 × 0.25 = 150

4. Find the slope of the line through the
points A(8,7) and B(5,-2).
Explanation:

Answers

Answer:

Slope equals to 3

Step-by-step explanation:

-2-7=-9 over 5-8=-3. You then divide the 9 by 3 and because they are both negative they equal a positive.

PLEASE HELP ITS EASY MATH
Workers install 600 chairs at a constant rate. After 4 days, the workers still have to install 360 chairs. How much time does it take to install the chairs from start to finish?

Answers

Answer:

10

Step-by-step explanation:

Acc to question, the workers have installed 240 chairs in 4 days which equals 60 chairs in 1 day.

So the will require 600 /60 =10 days from the start.

will give BRAINLIEST

Find the area of each circle
. Round to the nearest tenth.

Answers

Answer:

13:  312yd squared

14: 907.5 rounded up but not rounded is 907.46

Step-by-step explanation:

this is because the formula is pi*r^2  so you'd

Step by step:

1. 20yd/2= 10 to get the radius for 13

2. substitute r in the formula pi*r^2 for 10 making it pi*10^2

3. multiply 10 by itself, 10*10=100

4. multiply pi by 100, 3.14*100= 314

314yd^2 is the answer for 13

14:

1. 34ft/2=17 to get the radius for 14

2. substitute r on the formula pi*r^2 for 17 making it pi*17^2

3. multiply 17 by itself, 17*17=289

4. multiply pi by 289, 3.14*289=907.46

5. round 907.46 to the nearest tenth, 907.5

907.5ft^2 is your answer

hope this helps :)

A volleyball has a mass of 4 kg Calculate the potential energy of a volleyball that is in the air at a height of 15 m. (g = 9.8 m/s
Gravitational Potential Energy = mass x acceleration due to gravity x height
GPE = mgh
ОА
147J
B
588 J
O C60
O
D
360 J

Answers

B. 588 J

GPE = mgh
= (4)(9.8)(15)
= 588 J

45a^3b^4+36a^2b^5 ÷ 9a^2b^4​

Answers

3ab2
Hope this helps

Felicia earns $800 a month. The table shows her monthly budget.

Monthly Budget
Expense Amount of Money
College savings $200
Car payment $275
Cell phone $125
Clothes $50
Food $100
Other $50

Which statement is supported by the information in the table?
F.Felicia spends 10% of her monthly budget on clothes and food.
G.Felicia spends 25% of her monthly budget on her car payment.
H.Felicia spends 20% of her monthly budget on college savings.
J.Felicia spends 50% of her monthly budget on her car payment and cell phone.

I'm not really good at math and I'm doing a test online right now and I am very confused.

Answers

Answer:

The answer is J.

Step-by-step explanation:

50% of 800 is 400.

125+275=400

please help me please please nice brainly people pls

Answers

Answer:

I think your answer is B= 12.

Step-by-step explanation:

Its x times 1 .33333 = y

brainliest?

B=12 its x time 1.33333 = y

What is -3(5+5)>5x?​

Answers

Answer:

The answer is x < -6

hope that helps

-3(5+5)>5x

-15+-15>5x

-30>5x

5x<-30

Divide both side by 5

5x÷5 < -30÷5

x<-6

Answer:

-15 is the incorrect answer the correct answer is x < --6

Step-by-step explanation: Simplify  5+55+5  to  1010.

-3\times 10>5x−3×10>5x

2 Simplify  -3\times 10−3×10  to  -30−30.

-30>5x−30>5x

3 Divide both sides by 55.

-\frac{30}{5}>x−

​5

​30

​​ >x

4 Simplify  \frac{30}{5}

​5

​30

​​   to  66.

-6>x−6>x

5 Switch sides.

x<-6x<−6

help meee will mark brainliest ​

Answers

Answer:

I believe it is B -4/5 I am sorry if I am wrong. If I am right hope this helps and please mark brainlist.

81a + (- 18)
how do you factor the expression

Answers

Answer:

9(9a-2)

Step-by-step explanation:

81a + (-18)

= 81a - 18

= 9 (9a - 2)

Answer:

9(9a-2)

Step-by-step explanation:

A 40-degree angle is translated 5 inches along a vector. What is the angle measurement, in degrees, of the Image?

Answers

Answer:

40°

Step-by-step explanation:

As clarified in an online document, a translation along a vector (which is a line in a plane) of a figure, is equivalent to a translation along a coordinate grid, and therefore, given that a translation is a form of rigid transformation, the the dimensions and inclinations of the rays forming the preimage are the same as those in the image and the angles measurement in the preimage and the image are equal.

Therefore, given that the angle measurement of the image is 40-degrees, the angle measurement of the image is also 40-degree (40°) angle.

Factoring Polynomials Completely Step by step

Answers

Answer:

x(x-8)(x+8)

Step-by-step explanation:

it ends with a negative 64 and the only one that also end with that would be C because -8×8 = 64

Please help if you are good at math!!

Answers

Answer:

Y intercept= (0,15)

X intercept= ([tex]\frac{3}{4}[/tex],0) , (5,0)

Vertex= -[tex]\frac{b}{2a}[/tex]

Step-by-step explanation:

PLEASE MARK BRAINLIEST

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