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

PLZ HELP!!!

Normal vision is called 20-20 vision. These numbers are actually a ratio—a comparison of the distance you can see to the distance a normal-sighted person can see. For example, a person with 20-30 vision can see from a distance of 20 feet what a person with 20-20 vision can see from a distance of 30 feet. Based on this knowledge, explain what the following numbers mean regarding vision.
a. 20-100
b. 20-40

Answers

A person with 20-40 vision can see up to 30 feet and a person with 20-100 vision can see up to 200 feet (No-one can see that far unless they are not human or unless they are a spirit.)

Which algebraic rule Describes the transformation

Answers

Answer:

The answer is D) (X,Y) ---(-y-x)

I think it’s d to because (x,y) can also be (-x,-y)

the
The shape of a garden is rectangular in the middle and semi circular
at the ends as shown in the diagram. Find the area and the perimeter
Т.
of this garden [Length of rectangle is
7m 20-(3.5 +3.59 metres).
1
DI
20 m​

Answers

Answer:

[tex]Area = 129.5m^2[/tex]

[tex]Perimeter = 48m[/tex]

Step-by-step explanation:

Given

See attachment

Required

Determine the area and the perimeter of the garden

Calculating Area

First, we calculate the [tex]area\ of\ the\ rectangle[/tex]

[tex]A_1 = L * B[/tex]

Where:

[tex]L = 20-(3.5 +3.5)[/tex]

[tex]B = 7[/tex]

So:

[tex]A_1 = (20 - (3.5 + 3.5)) * 7[/tex]

[tex]A_1 = (20 - 7) * 7[/tex]

[tex]A_1 = 13 * 7[/tex]

[tex]A_1 = 91[/tex]

Next, we calculate the area of the two semi-circles.

Two semi-circles = One Circle

So:

[tex]A_2 = \pi r^2[/tex]

Where

[tex]r = \frac{7}{2}[/tex]

[tex]A_2 = \frac{22}{7} * (\frac{7}{2})^2[/tex]

[tex]A_2 = \frac{22}{7} * \frac{49}{4}[/tex]

[tex]A_2 = \frac{22}{1} * \frac{7}{4}[/tex]

[tex]A_2 = \frac{22*7}{4}[/tex]

[tex]A_2 = \frac{154}{4}[/tex]

[tex]A_2 = 38.5[/tex]

Area of the garden is

[tex]Area = A_1 + A_2[/tex]

[tex]Area = 91 + 38.5[/tex]

[tex]Area = 129.5m^2[/tex]

Calculating Perimeter

First, we calculate the perimeter of the rectangle

But in this case, we only consider the length because the widths have been covered by the semicircles

[tex]P_1 = 2 * L[/tex]

Where:

[tex]L = 20-(3.5 +3.5)[/tex]

So:

[tex]P_1 =2 * (20-(3.5 +3.5))[/tex]

[tex]P_1 =2 * (20-7)[/tex]

[tex]P_1 =2 * 13[/tex]

[tex]P_1 =26[/tex]

Next, we calculate the perimeter of the two semi-circles.

Two semi-circles = One Circle

So:

[tex]P_2 = 2\pi r[/tex]

Where

[tex]r = \frac{7}{2}[/tex]

[tex]P_2 = 2 * \frac{22}{7} * \frac{7}{2}[/tex]

[tex]P_2 = \frac{2 * 22 * 7}{7 * 2}[/tex]

[tex]P_2 = \frac{308}{14}[/tex]

[tex]P_2 = 22[/tex]

Perimeter of the garden is

[tex]Perimeter = P_1 + P_2[/tex]

[tex]Perimeter = 26 + 22[/tex]

[tex]Perimeter = 48m[/tex]

What is the slope of the line?​

Answers

Answer:

The slope is -3

Step-by-step explanation:

Answer:

slope is -3

Step-by-step explanation:

Here is a list of ages (years) of children in a room:
8, 8, 5, 1, 2, 5, 4
State the median.

Answers

Answer:

5

Step-by-step explanation:

The median is the middle number when they are put in order from smallest to largest

1,2,4,5,5,8,8

There are 7 number so the middle is between 4th  number

1,2,4     ,5    ,5,8,8

The median is 5

[tex]\sf Answer: [/tex]

[tex]\sf 5 [/tex]

[tex]\sf Step-by-step~explanation: [/tex]

[tex]\sf List~the~numbers~in~order,~from~least~to~greatest. [/tex]

[tex]\sf 1   2   4   5   5   8   8   [/tex]

[tex][The~middle~number~is~5,~so~the~answer~is~going~to~be~5.[/tex]  [tex]This~is~because~a~median~is~the~number~in~the~middle.[/tex]      [tex]''~The~median~is~the~middle~number~in~a~sorted,~ascending~or~descending,~[/tex]    [tex]list~of~numbers~and~can~be~more~descriptive~of~that~data~set~than~the~average~'' ][/tex]

Given: ABCD is a rhombus. Prove: △AEB is a right triangle.

Answers

Answer:

Step-by-step explanation:

∵ ABCD is a rhombus

∴ AC is ⊥ on BD

∴ ΔAEB is right angled triangle

Joshua’s soccer ball has a radius of 4.6 inches what is the volume of his soccer ball?

Answers

Answer:

407.7

Step-by-step explanation:

volume = (4/3) * π * r³

(4/3)*PI*4.6^3=407.7

PLEASE MARK BRAINLIEST IF THIS HELPED. THANK YOU

Am not sure what this answer is

Answers

Answer:

100 pieces

Step-by-step explanation:

11/220 = 5/x

1100=11x

x=100

the correct answer would be D/ 100 pieces

Solve. Justify your responses.

Given:

AB║CD║EF


Prove: m∠1+m∠2+m∠3+m∠4=360°

Answers

Answer/Step-by-step explanation:

[tex] \overline{AB} \parallel \overline{CD} \parallel \overline{EF} [/tex] ----› Given

[tex] \angle 1 + \angle 2 = 180 [/tex] ----› consecutive interior angles are supplementary

[tex] \angle 3 + \angle 4 = 180 [/tex] ----› consecutive interior angles are supplementary

Therefore:

[tex] \angle 1 + \angle 2 + \angle 3 + \angle 4 = 360 [/tex]

As shown in the figure below, Luis walks 40 m toward his truck. He notices he forgot his keys, so he returns
back to his house. His total travel time is 95 s.
40 m
40 m
What is Luis's average velocity over the 95 s period?

Answers

Answer:

Velocity = 0

Speed = 0.84

Step-by-step explanation:

Khan Academy

Luis's average velocity over the 95 sec period is 0 m/s.

Given that, Luis walks 40 m toward his truck. He notices he forgot his keys, so he returns back to his house.

What is the average velocity?

Magnitude of average velocity is always less than or equal to the average speed because displacement is always smaller than or equal to distance.

Average Velocity = Total time / Total Displacement

​It is a vector quantity and has units of m/s.

Here, total time = 95 sec and displacement = 0 meter

Now, average velocity = 95/0

= 0 m/s

Therefore, Luis's average velocity over the 95 sec period is 0 m/s.

To learn more about the average velocity visit:

https://brainly.com/question/862972.

#SPJ5

Aaliyah learned to play a total of 16 pieces over the course of 8 weeks of piano lessons. After 10 weeks of piano lessons, how many total pieces will Aaliyah be able to play? Solve using unit rates.

Answers

Answer:

20

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

:P

Simplify the expression. 3.7z to the power of 2+7.2+9z-1.2-2z+z to the power of 2.


Please help

Answers

The answer is Would be 2 hehehehe hshshs x=2

Find the equation of the line passing
through the points (2, 4) and (3, 2).
y = [? ]X + [
Eter

Answers

The answer will be y=-2x+8!
The answer is y=-2x+8
Explanation: 2,4= x1,y1 3,2=x2,y2
m=y2-y1/x2-x1 m=2-4/3-1= -2/1= -2
y1=m(x1)+b 4=-2(2)+b 4=-4+b 4-(-4)=b 8=b
y=mx+b You add the m and b. y=-2x+8

HELP PLEASE AWARDING BRAINLIEST IF CORRECT

Answers

Answer:

y=1/4x+9

Step-by-step explanation:

x-4y=-36

add 4y to both sides to find x

x=4y−36

To find y=

add -x to both sides

−4y=−x−36

divide both sides by -4

y=mx+b

y=1/4x+9

can someone please help me im being timed ‼️

Answers

125 because it’s symmetrical between both
The answer is c 125
The reason is because it is corresponding angles

You and your friend are in a canoe race. Your friend is a half mile in front of you and paddling 3 miles per hour. You are paddling 3.4 miles per hour. You are 8.5 miles from the finish line. How long will it take to catch up to your friend?

Answers

Answer:

To catch your friend you have to paddle for 1.25 hours

Step-by-step explanation:

Your friend is 0.5 mile in front of you and paddling 3 miles per hour. You are paddling 3.4 miles per hour.

Since the speed is the relationship between the space traveled by an object and the time used for it, then the distance is defined as:

distance= speed*time

Being x the time it takes to reach your friend, then your friend's position will be:

3miles per hour*x + 0.5 (since your friend  is 0.5 mile in front of you)

while your position is:

3.4 miles per hour*x

When you reach your friend the position of both should be the same. So:

3*x + 0.5= 3.4*x

Solving:

0.5= 3.4*x - 3*x

0.5= 0.4*x

0.5 ÷0.4= x

1.25= x

This means that to catch your friend you have to paddle for 1.25 hours

Write the value of 3 in the following number: 998.736I

Answers

Answer:

Hundreths 3 is in the hundreths

Step-by-step explanation:

Answer: 3 is in the (hundredths)

Explanation: because ‘1’ is in the ones place
‘6’ is in the tenths place
so ‘3’ is in the hundredths

will give brainliest.
Which of the binomials below is a factor of this trinomial?
3x^2+16x+ 5

A- 3x-5
B. 3x-1
C. 3x+1
D. 3x+5

Answers

Answer:

option c

Step-by-step explanation:

The zeros of 3x+1

3x=-1

x=-⅓

plug in -⅓ into the trinomial. if it gives an answer of 0 then it's a factor

3(-⅓)²+16(-⅓)+5

=0

11(4-6y)+5(13y+1)=9 help​

Answers

Answer:

Y = 40

Step-by-step explanation:

44 - 66y + 65y + 5 = 9

49 - y = 9

-y = -40

y = 40

Answer:

y = 40

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Algebra I

Combining Like Terms

Step-by-step explanation:

Step 1: Define

11(4 - 6y) + 5(13y + 1) = 9

Step 2: Solve for y

Distribute:                              44 - 66y + 65y + 5 = 9Combine like terms:             -y + 49 = 9Isolate y term:                       -y = -40Isolate y:                                y = 40

Step 3: Check

Plug in y into the original equation to verify it's a solution.

Substitute in y:                    11(4 - 6(40)) + 5(13(40) + 1) = 9Multiply:                               11(4 - 240) + 5(520 + 1) = 9Subtract/Add:                      11(-236) + 5(521) = 9Multiply:                               -2596 + 2605 = 9Add:                                     9 = 9

Here we see that 9 does indeed equal 9.

∴ y = 40 is the solution to the equation.

1.- En una bodega hay 34 sacos de maíz, si cada uno pesa 100 kg. ¿Cuántos
kilogramos de maíz hay en la bodega?​

Answers

I don’t understand your language can you translate it through english

alice has 5 quarters and 2 nickels. how many cents does alice have?

Answers

Answer: $1.35 is the answer

Answer:

5 quarters is equal it 1$ and 25¢, 2 nickles is equal to 10¢, put these together and you get 1$ and 35¢ or 1.35$

what is 8 divided by 4/5?​

Answers

Make both fraction
8/1 divided by 4/5
Flip reciprocal of second one
8/1 * 5/4 = 40/4 = 10

The solution is 10

justin wants to buy shorts that cost $35 and some shirts that are on sale for $22 each. He has $95 to spend. Write an inequality to find the number of shirts he can buy

Answers

35 plus 22 -95 equal left seat on the right pole then pause

What's the nth term of the following question:

5
,

7
,

9
,

11
,

13

Answers

Answer:

-21

Step-by-step explanation:

-13 +(-2) = -15

-15+(-2) = -17

-17+(-2 )=- 19

-19+ (-2)= -21

WHAT IS DIFFERENCE BETWEEN SQUARE AND RHOMBUS JUSTIFY YOUR ANSWER

Answers

Answer:A square and a rhombus both have sides equal in length. But square has all its angles equal to 90 degrees, but a rhombus only has its opposite angles equal.

Step-by-step explanation:

Answer:

A square has all its angles equal to 90 degrees a rhombus has no 90 degree angles

Match each interval with its corresponding average rate of change for q(x) = (x + 3)2. 1. -6 ≤ x ≤ 0 -1 2. -3 ≤ x ≤ -2 -3 3. -6 ≤ x ≤ -3 -4 4. -6 ≤ x ≤ -4 0 5. -4 ≤ x ≤ -3 3 6. -3 ≤ x ≤ 0 1

Answers

(X) = (x + 3) 2.1.-6 12 46 68


[tex]what \: is \: the \: radius \: 11 \sqrt{2(9.8) r} [/tex]

Answers

Answer:

radius r = 9.8 m

base circumference C = 61.575216 m

volume V = 1971.22792 m3

curved surface area A = 603.437117 m2

base surface area B = 301.718558 m2

total surface area K = 905.155675 m2

Two triangles are congruent if
A. the pictures look the same
B. corresponding sides and corresponding angles are congruent
C. any two sides and any one angle are congruent
D. corresponding angles are congruent

Answers

Answer:

B is your answer

Step-by-step explanation:

I think it’s b sorry if I’m wrong

rewrite as a simplified fraction what would it be

Answers

Answer:

37/45

Step-by-step explanation:

YEPPP THAT'S ITT DJJSJZJZK

Answer: The answer is 44/50 and the percentage is 88

Step-by-step explanation: Hope my answer helped you! Plz, mark my answer and Thank you!

Using the given​ diagram, solve for x.

Answers

X equals 20 degrees
Other Questions
2x squared times 6 =A:10x squared B:8x squaredC:12x squared brooke plays on her schools softball team. Last season she was at bat 500 times and made a safe hit 28% of the time. How is 28% expressed as a fraction PLEASE HELP please? Which of the scatterplots have no correlation? Check all that apply.On a graph, points curve up and down.On a graph, points are grouped together to form a horizontal cluster.On a graph, points are grouped together to form a vertical cluster.On a graph, points are grouped together and decrease.On a graph, points are scattered over the graph. who was Charles wood What must be demonstrated for the election of government officials to be perceived as legitimate? What role did the United States policy of interventionism have on Latin America societies? What is the value of x^2 - 3y + 5x + 2 whenx = 7 and y = 4? Each week, Tasha saves 80% of the money she earns babysitting and spends the rest. This week she earned $80.00.How much more money did she save than spend this week? What did conductor say before the train sped away in polar express Which sentence uses the word adept correctly?Sun Yi can make a terrific adept using her grandmother's recipe.The princess allowed only adept food on her table.I can only adept when I feel comfortable in a situation.Samuel is an adept artist, having taken lessons for years. help meh please i need hell Which of the following would you expect to find on a monthly account statement? a. A new set of checks and deposit slips for the coming month. b. A list of credits and debits made during the period. c. A comparison of ending balances for the past 12 months. d. A tally of all credits and debits in the accounts history. what contributes to the economy How did the concept of slavery create conflict amongst the founding fathers? Name one way that the scientific community has honored Mendeleevs contribution to science. In a master schedule, the planning horizon is often separated into a series of time periods called: a. lead times b. stacked lead times c. time buckets d. firm, fixed, and frozen A sweater is $43. It is on sale for 20% off. What is the final price? $34.40 $47 $8.60 Which Sumerian invention led to long-distance trade?calendarhammerKilnwheel. Ill give brainlist 3 fun facts about Japan Summarize the Texas Revolution in 3-4 sentences.