What is the solution to the following system of equations?

2x + y = 0

x + 2y = 3

Group of answer choices

(0, 0)

(-1, 2)

(2, -4)

(-5, 4)

Answers

Answer 1
Answer: (-1,2)


Steps:

Solve by elimination

Multiply the first equation by 2 to make the coefficients of x in both equations the same

2(x+2y=3)

2x+4y=6

Then line them up and subtract

2x+y=0
-2x+4y=6

= -3y=-6

Divide both sides by -3 to isolate y

y=2


Then substitute 2 for y into one of the equations to find x.

x+2(2)=3

x+4=3

x=-1

Related Questions

How much time will it take for an amount of ₹9000 to yield ₹810 as interest at 4.5% per annum of simple interest?
[Irrelevant answers will be reported]​

Answers

Answer:

2 years

Step-by-step explanation:

because 4.5 percent of 9000 is 405

405 times 2 is 810

so 2 years

The solutions of the equation f (x)=g(x) are-2 and1. If f and g are graphed on the same coordinate plane, which statement must be true?

Answers

It is the last one of the answer

Determine the measure of ZUXW in the diagram.

66°
57°

The measure of LUXW is

Answers

Answer:

the measure of <UXW is 57°

Plz help. WIll give brainliest

Answers

Answer: 25.9

Step-by-step explanation:

The answer in the second choice

The diameter of a circle is 14 meters what is its radius

Answers

Answer:

A circle of radius = 14 or diameter = 28 or circumference = 87.96 meters has an area of: 0.0006158 square kilometers (km²) 615.8 square meters (m²) 6.158 × 10 6 square centimeters (cm²) 6.158 × 10 8 square millimeters (mm²) 0.000237762 square miles (mi²) 736.491 square yards (yd²) 6628.42 square feet (ft²) 9.54492 × 10 5 square inches (in²)

Step-by-step explanation:

ana can swim at a rate of 3/8 mile in 1/3 hour.

Answers

1/9 hope dis help uuu

In a class of 65 students, 10 students liked Maths but not English and 20 students liked
English but not Maths. If 5 students did not like both, how many students liked both subjects?​

Answers

Answer: 30 students liked both.

step-by-step explanation: If there are 65 students and 10 liked math but not english you subtract 10 from 65, you get 55. You continue to the next one, 55-20= 35, now there are 35 students but 5 of those students don't like either, so 35-5=30, meaning there are 30 students that like both english and math. I hope this helps.

There are 15 female performers in a dance recital. The ratio of men to women is 4:5. How many men are in the dance recital?

Answers

Answer:

12 Men

Step-by-step explanation:

Since the ratio is 4:5 (men:women) 15/5 = 3, so you use 3 as your multiplier and write 3 x 4 = 12 :D

If f(x) = 1/2x^2 - (1/4x +3), what is the value of
f(8)?

Answers

Answer:

27

Step-by-step explanation:

If  [tex]f(x) = \frac{1}{2x^2} - \frac{1}{4x +3}[/tex],  then the value of  [tex]f(8)[/tex] is  [tex]f(8) = \frac{-93}{4480}[/tex].

What is Quadratic Equation?

A quadratic equation is an algebraic equation in the variable of the second degree. The quadratic equation is in the form of [tex]ax^{2} + bx + c = 0[/tex], where [tex]a,b,c[/tex]  are the real numbers.

We have

[tex]f(x) = \frac{1}{2x^2} - \frac{1}{4x +3}[/tex]

According to Quadratic Equation,

[tex]f(x)=ax^{2} +bx+c[/tex]

And we have,

[tex]f(x) = \frac{1}{2x^2} - \frac{1}{4x +3}[/tex]

So,

[tex]f(8) = \frac{1}{2x^2} - \frac{1}{4x +3}[/tex]

i.e. putting [tex]x=8[/tex],

[tex]f(8) = \frac{1}{2(8)^2} - \frac{1}{4*8 +3}[/tex]

[tex]f(8) = \frac{1}{128} - \frac{1}{35}[/tex]

Solving the above part,

[tex]f(8) = \frac{ 35-128 }{ 128*35 }[/tex]

[tex]f(8) = \frac{-93}{4480}[/tex]

Hence, we can say that value of  [tex]f(8) = \frac{-93}{4480}[/tex] .

To know more about Quadratic Equation click here

https://brainly.com/question/2263981

#SPJ2

Two angles of a Triangle measure 55° and 22° What is the measure of the third angle of the triangle

A. 15°
B. 90°
C. 105°
D. 285°

Answers

Answer:

c would be the closest

Step-by-step explanation:

All triangles equal 180*. so if you combine the 2 angles, which adds up to 77* then that would leave the third angle to be 103* but since that isnt an option choose c since its the closest.

BRAINLIEST
Estadio Azteca, a stadium in Mexico City, has a capacity of 1.04 × 105 people. One day,
spectators filled Estadio Azteca in 25 minutes.
1. What division expression represents the average number of people per minute?

Answers

The average number of people who entered the stadium per minute was 4,160

we know that

To find out the average number of people who entered the stadium per minute, divide the total number of people by the time required to fill the stadium

Let

x ----> the total number of people

y ----> the time required to fill the stadium

we have

1.04*10 5/25 = 4,160 people/mintute

so

therefore

The average number of people who entered the stadium per minute was 4,160

I hope this helped! Plz, comment in the paragraphs soon!

hello can anyone help me ? here the question

Answers

Answer:

A. 1/5k - 2/3j and -2/3j +1/5k

Step-by-step explanation:

A. 1/5k - 2/3j and -2/3j +1/5k

B. 1/5k - 2/3j and -1/5k +2/3j

There is a change in the signs of each term

1/5k changed to -1/5k

-2/3j changed to +2/3j

Not equivalent

C. 1/5k - 2/3j and 1/5j - 2/3k

There is a change in the variables

1/5k changed to 1/5j

-2/3j changed to -2/3k

D. 1/5k - 2/3j and 2/3j - 1/5k

The is a change in the signs of each term

1/5k changed to -1/5k

-2/3j changed to +2/3j

The only equivalent expression is

A. 1/5k - 2/3j and -2/3j +1/5k

Neeeeeed help?!?!!!!!!!

Answers

Step-by-step explanation:

number of minutes I guess

At a regional soccer​ tournament, tickets for two adults and seven students cost ​$60. Tickets for three adults and eleven students cost ​$93. Determine the price of an adult ticket and the price of a student ticket.
The price of an adult ticket is ​$, and the price of a student ticket is ​$

Answers

Answer:

The price of an adult ticket is $9 and the price of a student ticket is $6

Step-by-step explanation:

Create a system of equations where x is the price of an adult ticket and y is the price of a student ticket:

2x + 7y = 60

3x + 11y = 93

Solve by elimination by multiplying the top equation by 3 and the bottom equation by -2, to cancel out the x terms:

6x + 21y = 180

-6x - 22y = -186

Add them together:

-y = -6

y = 6

Then, plug in 6 as y into one of the equations to solve for x:

2x + 7y = 60

2x + 7(6) = 60

2x + 42 = 60

2x = 18

x = 9

So, the price of an adult ticket is $9 and the price of a student ticket is $6

A triangle has sides of length 2 cm, 8 cm and 9 cm.
Calculate the value of the largest angle in this triangle.
:)

Answers

Answer:

113.97 degrees

Step-by-step explanation:

use the cosine rule for finding an angle

cosA = b^2 + c^2 - a^2

                 2bc

In the given triangle angle A is greatest than any other angle.

What is the triangle?

A triangle is a polygon with three vertices and three sides. The angles of the triangle are formed by the connection of the three sides end to end at a point. The triangle's three angles add up to 180 degrees in total.

Given sides of triangle, a=2cm,b=8cm,c=9cm

cosine law

Cos A =  [tex]\frac{-a^2 + b^2 + c^2}{ 2bc}[/tex] = [tex]\frac{64 + 81 - 4 }{2 * 8 *9}[/tex] = 141/ 144

Cos B =  [tex]\frac{a^2 - b^2 + c^2}{ 2ac}[/tex] = [tex]\frac{4 + 81 - 64}{2 * 2 *9}[/tex] = 21/36

Cos C = [tex]\frac{a^2 + b^2 - c^2}{ 2ab}[/tex] = [tex]\frac{4 + 64 -81}{2 * 2* 8}[/tex]  =  -13/52

A = Cos⁻¹ (141 /144 )

B = Cos⁻¹ (21/ 36 )

C = Cos⁻¹ (-13/52 )

Thus Angle A < Angle B < Angle C.

Therefore, Angle A is the greatest in the triangle.

Learn more about triangles here:

https://brainly.com/question/14712269

#SPJ2

hey guys please help me oleaseee

Answers

Answer:

8'2

Step-by-step explanation:

Answer:

8'2

Step-by-step explanation:

8x+4y=-3y
32+2y=7x-42

Answers

For number 1: x= -7y/8

Will give crown help

Answers

Answer:

-12,-2,8,48

Step-by-step explanation:

y=10x-2

If x is -1,

10(-1)-2

is -12

so y = -12.

The four boxes are -12,-2,8,48

Hope this helps plz hit the crown :D

Explain how you can use the vertex form of a quadratic function to locate the vertex of the function's graph.

Answers

Answer:

quadratic function can find and write with the vertex and function the graph better.

Step-by-step explanation:

Choose the correct answer. Sally Situp pays $24.95 per month for her fitness center membership. If she works out twice a week for a year, how much does she pay for each visit?

Answers

Answer:

2.88

Step-by-step explanation:

24.95*12=299.4

299.4/104(bi-weekly training)=2.8788 This rounds to 2.88

Answer:$0.23

Step-by-step explanation:

7500 dollars is placed in an account with an annual interest rate of 5.25%. To the nearest tenth of a year, how long will it take for the account value to reach 34300 dollars?

Answers

ssvhcvbbcccccccccccch da as usa hcsfghssfcvygfggf

You have a standard deck of cards. What is the probability of drawing a heart or a face card?

Answers

Answer:

3/4

Step-by-step explanation:

What is the constant of proportionality for the relationship shown in this table?

x 1 2 3 4
y 4 8 12 16

14

4

8

16

Answers

Answer:

4

explanation:

I took the test

The constant of proportionality  is 4.

What is constant of proportionality?

The constant value of the ratio between two proportional quantities is the constant of proportionality. When either their ratio or their product gives a constant, two varying quantities are said to be in a relation of proportionality. The type of proportion between the two given quantities determines the value of the proportionality constant: Variation in both a direct and inverse manner.

given relation

x 1  2  3  4

y 4 8 12 16

the equation is

y = 4x

1 * 4 = 4

2 * 4 = 8

3 * 4 = 12

and so on...

Hence the constant is 4.

Learn ore about constant of proportionality;

https://brainly.com/question/29126727

#SPJ2

Ashley solved the inequality as shown below. Which of the following describes her mistake?
1st step 6-4(6n+7)≥122
2nd step 6 -4 to the 6n and 7(6n+7)≥122
3rd step 6-24n-28≥122
4th step -22 is dashed out -24n≥122-22
5th step 24n/24≥122/24
6th step n=-4.17


A. Ashley incorrectly distributed the -4.
B. Ashley incorrectly combined her like terms.
C. Ashley incorrectly moved the constant to the right side.
D. Ashley incorrectly divided.

Answers

C because she cannot dash out -22

GEOMETRY) Please solve for X! plspls​

Answers

Step-by-step explanation:

so the answer is would be X = 15

Correct !!!!!!!!!! Please give me thanks

In AGHI, ZG ZI, IG = 19 and HI = 14. Find the length of GH.
H
14)
19

Answers

Answer:

yui no kami usika mi 4x5

Step-by-step explanation:

angle a= 6x-5 degrees angle b=4x+45 degrees

Answers

Answer:

180

Step-by-step explanation:

Answer: the correct answer is 125°

Step-by-step explanation: i just had to get it wrong so i could get it right

Larry answered 8 out of every 10 questions on a test correctly. The test had 70 questions. How many correct answers did Larry give?----- What is the first complete ratio? (numbers)​

Answers

Answer:

56

Step-by-step explanation:

70 / 10 = 7 > 8 * 7= 56 hha hope this helps

What is cos H for this triangle?
Enter your answer by filling in the boxes.
cos H=

Answers

Answer:

k/j

Step-by-step explanation:

i just took the test, good luck!

Please help using the picture below I will give BRAINLY!

Answers

Answer:

2) 76

3)  64

Step-by-step explanation:

The actual answer is
A) 76
B) 62

The other person did a miscalculation
Other Questions
1,6,6,9,2,1,6,2. what is the probability of drawing a two and then drawing another 2 2(3j + 3) = 3(2 + 2j) Why did Frederick Douglass think that photography was so important? Give the mRNA and amino acid sequence of the DNA code below.DNA Code: TAC AAA ACC ATG ACT mRNA Codon: ___ ___ ___ ___ ___amino acid: ___ ______ ___ ___ It happened that a Dog had got a 20 piece of meat and was carrying it home in his mouth to eat it in peace . Now on his way home he had to cross a plank lying across a running brook. As he crossed, he looked down and saw his own shadow reflected in the water beneath . Thinking it was another dog with another piece of meat, he made up his mind to have that also. So he made a snap at the shadow in the water, but as he opened his mouth the piece of meat fell out, dropped into the water and was never seen more.dont use for points How were airplanes used during World War I? Select the two correct answers. A. They were disassembled and their parts were used for other purposes. B. They were used to observe enemy troops from the air. C. They were used overseas to broadcast information to the public. D. They were armed with weapons and used for battle. E. They were used to scout ideal locations for digging trenches. 9 lb 4 oz - 2 lb 12 oz with regrouping Help i need help on this question plis Enter the coordinates of the vertices of (r(270,O) T1, 2)(QRST). What very specific property of mineral calcite allows geologists to quickly identify it in a mixture of other colorless minerals In circle D, EDH EDG.Circle D is shown. Line segment F H is a diameter. Line segments D E and D G are radii. Lines are drawn from point E to point G and from point E to point H to form secants. The length of E J is 4 and the length of E H is 9. The measure of arc F E is 57 degrees and the measure of arc F G is 66 degrees.What is the length of JG?4 units5 units6 units9 units Solve this radical equation: PLEASE SERIOUS HELP With which of the following is Karl Marx most closely associated?A. SocialismB. CommunismC. CapitalismD. Utilitarianism Find the area of the shape shown below Sentence using virtuous Mrs Jonas has 35 students in her math class. If her class increases to 42 students next year what will be the percent of change? A) 335B) 93%C) 75%D) 20% Help me with this question! Will mark brainliest What is the solution set for the inequality Does the title of the poem provide additional meaning? (A) No; The word Mojave is unnecessary to understand the origin of the poem. (B) No; The word lullaby makes it unclear whether the poem is meant to be sung or spoken. (C) Yes; The word lullaby indicates that the speaker is addressing a child at bedtime. (D) Yes; The word Mojave confirms that the speaker is a member of the Big Turtle Clan. WHAT THE ANSWER?? How is mr. fezziwig different from Scrooge as an employer