solve 3y= x+1 and 2y= x

Answers

Answer 1

Answer:

(2, 1 )

Step-by-step explanation:

3y = x + 1 → (1)

2y = x → (2)

substitute 2y = x into (1)

3y = 2y + 1 ( subtract 2y from both sides )

y = 1

substitute y = 1 into either of the 2 equations and solve for x

substituting into (2)

2(1) = x

2 = x

solution is (2, 1 )

Answer 2

Answer:

{y,x} = {-1,-2}

Step-by-step explanation:

2y = - 2

  [2]    y = - 1

// Plug this in for variable  y  in equation [1]

  [1]    3•(-1) - x = -1

  [1]     - x = 2

// Solve equation [1] for the variable  x

  [1]    x = - 2

// By now we know this much :

   y = -1

   x = -2

{y,x} = {-1,-2}

hope this helps

pls mark brainliest


Related Questions

2. The diameter of sphere is 10 cm. Find the volume.
3. Juice is sold in aluminum cans that measure 7 inches in height and 4 inches in diameter. How many cubic inches of juice are contained in a full can?
4. The square pyramid has a volume of
297 cm3. The area of the base is 81 cm2. What is the height?
5. A glass is 10 cm deep and 8 cm wide. How much liquid can the glass hold?
6. A glass pyramid has a height of 6 inches. Its rectangular base has a length of 4 inches and a width of 2.5 inches. Find the volume of the glass.
7. A cylinder made of quartz has a volume of 5.8 cm3. If the radius is 2 cm, find the height.
8. Find the volume of a cone with a diameter of 10 meters and a height of 5.1 meters.
9. What is the volume of a sphere with a diameter of 18 ft?
10. Find the volume of a pyramid with a rectangular base measuring 6 cm by 4 cm and height 11 cm.
answer pls

Answers

The volume of the sphere will be V = 1570.79 cubic cm.

What is volume?

The Volume of the sphere is the amount of quantity, which is obtained in the 3-dimensional space. A sphere is a circular ball type three dimensional object.

Given that:-

The diameter of the sphere is 10 cm

The volume of the sphere will be calculated as:-

V  =  4 π r³

V =  4  x   π   x  ( 5)³

V  =  1570.79 cubic cm

Therefore the volume of the sphere will be V = 1570.79 cubic cm.

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If the perimeter of a pool is 102ft, and the length is 6 more than twice the width, what are the dimensions?

Answers

Answer:

Length = 36 ft
Width = 15 ft

Step-by-Step Explanation:

Let length of pool be ‘x’ ft
Let width of pool be ‘y’ ft
Perimeter = 2(x + y) = 102 ft

By Given:

2(x + y) = 102
=> 2x + 2y = 102 (Eq. 1)

=> x = 2y + 6 (Eq. 2)

Substitute value of ‘x’ from Eq. 2 in 1 :-

2x + 2y = 102
2(2y + 6) + 2y = 102
4y + 12 + 2y = 102
6y + 12 = 102
6y = 102 - 12 = 90
=> y = 90/6 = 15

Therefore, y = 15

Substitute value of ‘y’ in Eq. 2 :-

x = 2y + 6
x = 2(15) + 6
x = 30 + 6
=> x = 36

Therefore, x = 36

Verification:

2x + 2y = 102
2(36) + 2(15) = 102
72 + 30 = 102
=> 102 = 102
LHS = RHS

Therefore,
Length (x) = 36 ft
Width (y) = 15 ft

Cacular m<) ABC
Ayuda

Answers

Answer:

m∡ABC=140º

Step-by-step explanation:

Find the distance between the points given below. Round your answer to the nearest tenth.
A (0,6) and B (-3,-1)

Answers

Answer:

7.6

Step-by-step explanation:

We want to find the distance between (0,6) and (-3,-1)

We can find the distance between any two points using the distance formula

Distance between two points =

[tex] \sqrt{(x2 - x1)^{2} +(y2 - y1) {}^{2} } [/tex]

Where the values of x and y are derived from the the two points. (x1,y1) and (x2,y2)

Here the two points are (0,6) and (-3,-1)

So we have (x1,y1) = (0,6) so x1 = 0 and y1 = 6

And we have (x2,y2) = (-3,1) so x2 = -3 and y2 = -1

Now we plug in the values of x and y into the formula and evaluate to get the distance.

Again recall distance = √(x2-x1)²+(y2-y1)²

==> plug in x2 = -3 , x1 = 0, y2 = -1 and y1 = 6

Distance = √(-3-0)²+(-1-6)

==> evaluate operations inside of parenthesis

Distance = √(-3)²+(-7)²

==> evaluate all exponents

Distance = √9+49

==> and 9 and 49

Distance = √58 = 7.6 (rounded)

pls help sixowiskosixo

Answers

The given question is a quadratic equation and we can use several methods to get the solutions to this question. The solution to the equation are 3/4 and -5/6 and the greater of the two solutions is 3/4

Quadratic Equation

Quadratic equation are polynomials with a second degree as it's highest power.

An example of a quadratic equation is

[tex]y = ax^2 + bx + c[/tex]

The given quadratic equation is [tex]24x^2 + 2x = 15[/tex]

Let's rearrange the equation

[tex]24x^2 + 2x = 15\\24x^2 + 2x - 15 = 0[/tex]

This implies that

a = 24b = 2 c = -15

The equation or formula of quadratic formula is given as

[tex]y = \frac{-b +- \sqrt{b^2 - 4ac} }{2a}[/tex]

We can substitute the values into the equation and solve

[tex]y = \frac{-b +- \sqrt{b^2 - 4ac} }{2a}\\y = \frac{-2 +- \sqrt{2^2 -4 * 24 * (-15)} }{2*24} \\y = \frac{-2+-\sqrt{4+1440} }{48} \\y = \frac{-2+-\sqrt{1444} }{48} \\y = \frac{-2+- 38}{48} \\y = \frac{-2+38}{48} \\y = \frac{3}{4}\\ \\or\\y = \frac{-2-38}{48} \\y = \frac{-40}{48} \\y = -\frac{5}{6}[/tex]

From the calculations above, the solution to the equation are 3/4 and -5/6 and the greater of the two solutions is 3/4

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nth term of -4 ,1, 12 ,29, 52

Answers

Answer:

[tex]3n^2-4n-3[/tex]

Step-by-step explanation:

The difference between each number is 5,11,17,23 and the difference between these numbers is 6. So by dividing 6 by 2, you get the n^2 co-efficient which in this case is [tex]3n^2[/tex].

Then compare the [tex]3n^2\\[/tex] pattern to the original pattern so:

-4, 1, 12, 29, 52

3, 12, 27, 48, 75

Subtract the original nth term sequence by the new [tex]3n^2\\[/tex] pattern and you will get:

-7, -11, -15, -19, -23

The nth term of this new sequence is -4n-3.

By combining the 2 nth terms together, you get [tex]3n^2-4n-3[/tex].

Hope this helps!

Good evening every one sorry to brother u but can someone answer this

3 - 3 / 1/3 + 1

Thank u very much

Answers

Answer:

-5

Step-by-step explanation:

3 - 9 + 1 = -6 + 1 = -5

Hope this helped! I would appreciate a Brainliest!

(BTW, if you can, can you please answer my question? It's due today!)

. How can you know if 2 shapes are congruent? Draw an example of 2 congruent triangles and label how you know.

Answers

Triangle ABC and triangle DEF are congruent by the SAS Congruence Postulate

What are congruent triangles?

Two triangles are said to be congruent if they have the same shape and their corresponding sides are also congruent.

We can say that two triangles are congruent using these 5 rules:

1: SSS or the side, side, side rule, that means that we have two triangles with all three sides equal.

2. SAS or side, angle, side states that in the two triangles, two sides and the included angle are equal.

3. ASA or angle, side, angle states that in two triangles, the two angles and the included side are equal.

4. AAS or angle, angle, side states that we have two triangles where two angles and the non-included side are equal.

5. HL or the Hypotenuse Leg rule states that, if the hypotenuse and one leg of one right-angled triangle are equal to the corresponding hypotenuse and leg of another right-angled triangle, then the two triangles are congruent.

Two triangles are said to be congruent if they have the same shape and their corresponding sides are also congruent.

Example:-From the diagram, given that:

AB = DE, BC = EF and ∠B = ∠E

Triangle ABC and triangle DEF are congruent by the SAS Congruence Postulate

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Is this true or false

Answers

Answer:

False

Step-by-step explanation:

Range can be calculated by taking the difference of the lower limit and upper limit of the data
The Upper limit here is 8.5 (considering) and lower limit is 4
So,
R= 8.5-4
R=4.5
The given says it is 2.5 so it is false.

Jocelyn decides to research the relationship between the length in inches and the weight of a certain species of catfish. She measures the length and weight of a number of specimens she catches, then throws back into the water. After plotting all her data, she draws a line of best fit. Based on the line of best fit, how much would you predict a catfish with a length of 32 inches would weigh?

Answers

The amount I can predict a catfish with a length of 32 inches would weigh is 28in.

What is the catfish measurement about?

Let say the fraction is = yx + b

m = [tex]\frac{20-4}{23-20}[/tex]

= 6/3

=2

Note also that 4= 2 x 20 x b

Make b the subject of the formula and it will be=

B= -36

Therefore, the function will be:

Y= 2x - 36

If x = 32

Then  y = 2. 32 - 36

=28

Therefore, the amount I can predict a catfish with a length of 32 inches would weigh is 28in.

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5. mr. and mrs. pinkerton have four boys. every time people notice this they comments to
the odds of this happening. the pinkertons decide to set up a simulation with 10 trids to
determine the probability,

Answers

The simulation that can best represent the chances of the Pinkertons having a boy or a girl is Flipping a coin.

What best shows the chances of having either a boy or girl?

The question asks for the simulation that can represent the likelihood of having a boy or a girl.

Because there are two outcomes, they each have a 50% probability.

A good simulation to show this would therefore be flipping a coin because this has two outcomes as well which are heads or tails.

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Pleaseeee helplpppppp

Answers

Answer:

Step-by-step explanation:

can someone help me with this question

Answers

Answer:

the answer will be 1 7/3 I believe

Find the value of x in the parallelogram below. Enter each line of work as an equation.

Answers

Answer: 110

Step-by-step explanation:

Adjacent angles of a parallelogram are supplementary, so [tex]70+x=180 \longrightarrow x=110[/tex]

Need help please. Determine whether the statement is true or false.

Answers

Answer:

false

Step-by-step explanation:

I need help I don’t know the answer

Answers

Answer:

Option 2

Step-by-step explanation:

Height of lemon tree = 8

Height of date tree = 8 x 3

On comparing, we understand that the date tree is 3 times as tall as the lemon tree.

Answer:

the answer is B or the second one

Step-by-step explanation:

8 x 3 = 24

the data tree is 3 times as tall as the lemon tree

What is the cot⁡θ in the right triangle shown?

Answers

cot is adjacent over opposite. keeping this in mind and looking at the triangle, the answer is C) 11/60

the quation is 8=z/6 please help me solve this algebraic equation......

Answers

Answer:

to find z

Step-by-step explanation:

8=z/6

z=6 x 8
z= 48

if you subtract 13 from my number and multiply the difference by -4, the result is -40, what is the number?

Answers

Answer:

23

Step-by-step explanation:

let the number = X

subtracting 13 from X = X -13

multiplying the difference by -4= (X -13)×-4

the result is -40 means (X-13)×-4=-40

(X- 13)×-4 = -40

-4 X +52 = -40

collect like term

-4 X = -40-52

- 4X = -92

dividing bothsides by -4

-4 X /-4 = -92/-4

X = 23

What is the volume of the cylinder 6yd and 11yd

Answers

Answer:

Volumer of cylinder

=(πd²/4)×h

=(36π/4)11

99π yd³

PLEASE HELP I BEG YOU! IF I DONT FINISH MY CLASS TODAY I HAVE TO MOVE SCHOOLS

A printing service charges a set-up fee of $11.00 for each order and 15 cents more for each copy. The total cost, c (in dollars), for an order of x copies is given by the following function.
C(x)=11.00+0.15x
What is the total cost for an order of 40 copies?

Answers

Total cost = 11 + 0.15 times 40 copies
= 11 + 6 = 17

Answer:

$17 ( 17 USD )

Step-by-step explanation:

C(x)=11.00+0.15x

40 copies:

C(40) = 11+0.15(40)

C(40) = 11+6

C(40) = $17

Therefore, the total cost for an order of 40 copies is $17.

Hope this helps!!!

Please mark as brainliest!!!

P.S. I guess you don't have to change schools now?

Order from least to greatest 7.2 7.04 7.413 7.134

Answers

Answer:

7.04, 7.134 ,7.2, 7.413

Step-by-step explanation:

Graph f(x) = x2 − 6x + 5? (1 point) 30 pts

Answers

Answer:

Direction: Opens Up

Vertex:(3,−14)

Focus:(3

Step-by-step explanation:

hope this help if not let me know have a blessed day

A customer purchased 1/2 pound of ham,1 pound of turkey,1/4 pound of roast beef,and 2 1/2 pounds of salami. Approximately how much did the customer pay for all the meat?
THE CHART
Ham-$5.99
Turkey-$4.99
Roast beef-$6.99
Salami-$2.99
bologna-$3.99

Answers

Answer:

Step-by-step explanation:

since this answer wants an approximation,  we can round the  cost up

Ham- 6                                 1/2 of 6 = 3

Turkey- 5                             1 pound of turkey= 5

Roast Beef- 7                       1/4 of 7= 1.75

Salami- 3                              2 x 3= 6   1/2 of 3= 1.5 = 7.5

bologna- 4                            No bologna was purchased.

3+5+1.75+ 7.5= 17.25 which is approximately 17.  

​Solve the system of equations.
5x−4y=−10
−4x+5y=8

Answers

Answer:

(- 2, 0 )

Step-by-step explanation:

5x - 4y = - 10 → (1)

- 4x + 5y = 8 → (2)

multiplying (1) by 4 and (2) by 5 and adding result will eliminate x

20x - 16y = - 40 → (3)

- 20x + 25y = 40 → (4)

add (3) and (4) term by term to eliminate x

9y = 0 , thus

y = 0

substitute y = 0 into either of the 2 equations and solve for x

substituting into (1)

5x - 4(0) = - 10

5x - 0 = - 10

5x = - 10 ( divide both sides by 5 )

x = - 2

solution is (- 2, 0 )

Natalie is hiking up a mountain while Simone is hiking down. When Natalie begins to ascend, Simone begins to descend at the same time. The graph shows Natalie’s elevation in feet over time in minutes. The table shows Simone’s elevation at different times. Who is hiking at a faster rate? Show your work.

Answers

To know who is hiking at a faster rate, calculate the rate for each hiker using the formula distance/ time and compare the rates.

How to find out who is faster?Calculate how fast each hiker moves or the rate for each hiker.Compare the rates.

How to calculate the rate?

The rate is equal to distance divided by time. For example,

Natalie travels 100 meters in 5 minutes:100/ 5 = 25 meters per minute.

Note: This question is incomplete because the graphs are not provided; due to this, the answer is based on general knowledge.

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The charge for electricity consumption E is partly constant and partly varies as the number N of units used. The charge for 82 units is N 3,655 while the charge for 42 units is N 2055:

a) calculate the charge per unit of electricity
b) obtain a formula for E in terms of N​

Answers

The charge per unit of electricity is #415

The formula for E in terms of N is E = 375 + 40N

What is variation?

Variation is a mathematical term that establishes the relationship between quantities and variables in an equation.

Analysis:

E = K + CN

where K and C are constants

When E = 3655, N = 82 and when E = 2055, N = 42

3655 = K + 82C ---------------1

2055 = K + 42C----------------2

subtract equation 2 from 1

40C = 1600

C = 40

substitute C in equation 1

3655 = K + 82(40)

3655 = K + 3280

K = 3655 - 3280 = 375

charge per unit is N = 1

E = 375 + 40(1) = #415

Formula for E in terms of N is E = 375 + 40N

In conclusion, the charge per unit of electricity is 415 and the equation connecting E and N is E = 375 + 40N

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The function f(x) = –x^3 + 7x^2 – 7x – 15 has zeros located at 5, 3, –1. Verify the zeros of f(x) and explain how you verified them. Describe the end behavior of the function.

Answers

Answer:

See below for answers and explanations

Step-by-step explanation:

If we check x=5:

[tex]f(5)=-(5)^3+7(5)^2-7(5)-15\\f(5)=-125+7(25)-35-15\\f(5)=-125+175-50\\f(5)=50-50\\f(5)=0[/tex]

So [tex]x=5[/tex] is indeed a zero

If we check x=3:

[tex]f(3)=-(3)^3+7(3)^2-7(3)-15\\f(3)=-27+7(9)-21-15\\f(3)=-27+63-36\\f(3)=36-36\\f(3)=0[/tex]

So [tex]x=3[/tex] is also indeed a zero

If we check x=-1:

[tex]f(-1)=-(-1)^3+7(-1)^2-7(-1)-15\\f(-1)=1+7+7-15\\f(-1)=8+7-15\\f(-1)=15-15\\f(-1)=0[/tex]

So [tex]x=-1[/tex] is also indeed a zero

End Behavior

Since the degree of [tex]-x^3[/tex] is odd [tex](3)[/tex] and the leading coefficient is negative [tex](-1)[/tex], the end behavior of function [tex]f[/tex] is as follows:

As [tex]x\rightarrow-\infty,f(x)\rightarrow+\infty[/tex]As [tex]x\rightarrow+\infty,f(x)\rightarrow-\infty[/tex]

I WILL GIVE BRAINLIEST FOR CORRECT ANSWER

The graph of the system of equations y= 2x+3 and y= x+5 is shown on the coordinate plane (image included). What is the solution to the system of equations?

Answers

Answer:

A

Step-by-step explanation:

The answer is A because the point intercepts at (2,7), and answer A has the points (2,7) in it's answer.

Stephanie earns $50 a week from babysitting. She spends
$25, saves $15, and uses the rest to repay a loan of $100 from
her brother. After six weeks, how much has Stephanie spent,
how much has she saved, and how much does she still owe her
brother?

Answers

Step-by-step explanation:

Stephanie has spent $150

she has saved $90

and owes her brother$40

Spent:
$25 X 6 = $150

Saved:
$15 X 6 = $90

Owed:
$50 - $25 - $15 = $10
$10 X 6 = $60
$100 - $60 = $40
Other Questions
Pls help with this thank you A bullet of mass 25 g moving with a velocity of 200 cm/s is stopped within 5 cm of the target. The average resistance offered by the target is: The Phoenicians became very skilled in which of the following?1. navigating2.trading3.sailing4.shipbuilding5.all of the above Here are the driving scores of 40 new drivers. make a relative frequency table for their scores: 48, 67, 62, 74, 42, 62, 60, 75, 91, 88, 48, 60, 51, 63, 57, 85, 69, 75, 97, 72, 71, 79, 84, 65, 63, 73, 46, 55, 62, 72, 80, 55, 55, 56, 83, 80, 64, 72, 83, 92 in creating the table, you will need to make some choices about how to bin the data: how many bins, and how wide the bins should be. you may also need to make some decisions about what to do with numbers that fall in the boundary between two bins in writing up your answers be clear about how you are making these choices there is more than one reasonable way to do it so you need to be clear about which decisions you are making. Why was william carlos williams considered an imagist in his early career? Is the American system of government a direct democracy? why What is the result if nucleotides pair incorrectly?a mutationcell deathchromosome duplicationa new type of gene Read the passage.Ocean NoiseWhen we think about the pollution of our oceans, many of us think of oil spills that dirty the waters and harm a variety of ocean life. Or, we might think of people in boats who litter the waters with their trash. After all, how many times in the news do we hear about ships that leak dangerous chemicals into the water? What we may not realize, though, is that there is another danger that is just as harmful to ocean life as any chemical or other dangerous material: ocean noise.Many of us think of the oceans as silent places. On the contrary, they are filled with a variety of sounds. On any given day, one might hear the calls of dolphins as they swim through the waters. Whales use sounds to keep track of each other. Sea lions talk to each other to find food. Even the tiniest of shrimp make a snapping sound. There are also sounds caused by wind or rain upon the waters. Sound also plays an important role in the daily life of various ocean animals, many of which depend upon their sharp sound detection skills to survive. With increased activities by people on many of the oceans waters, the noise has increased so much that it is beginning to cause damage to the oceans as well as to the animals that live in them.Ocean noise is the term used to describe the human-made noise occurring at increasing rates in the ocean. The noise comes from many different sources: large ships, small boats with motors, and jet skis, among others. There are also underwater exploration activities such as mining, as well as radar activities of ships. One of the most harmful types of ocean noise occurs with offshore oil drilling and seismic oil explorations. Air guns are instruments that are used to determine the location of oil and natural gas beneath the sea floor. They make a sound that can damage the hearing of ocean animals.We know that sound travels faster in water than it does in air. This means that sounds in the oceans can travel for many, many miles in a short period of time. Unfortunately, sounds made by people are much louder than sounds made by ocean animals.What this means is that sounds caused by noisy engines or radar equipment used by ships can upset the everyday activities of the creatures that live in the ocean. For instance, humpback whales use songs to talk to each other. Scientists have discovered that the whales system of talking can be disturbed by loud noises. This makes it harder for the whales to find each other. The stranding of whales and dolphins has been found to increase immediately after naval sonar maneuvers. Sea lions are another type of animal that depends on sounds to communicate with other sea lions. Ocean noise can make it difficult for them to find food. Ocean noise can disturb migration routes of whales and other animals that travel to different places.However, scientists and other researchers are working hard to find a solution to this threat to marine life. Since 2003, the use of low-frequency active (LFA) sonar equipment by the United States Navy has been tightly limited because its effects have been shown to cause harm to many ocean animals. NOAA (National Oceanic and Atmospheric Administration) has released a plan to reduce ocean noise that will work better than past attempts to reduce the noise.Other people are helping as well. Some fishing companies use special equipment that makes a pinging sound to keep certain kinds of ocean life from getting caught in its fishing nets. The National Park Service completed a study that tracked tour cruise ships and made an effort to reduce the number of tours. 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Use 3.14 for .You may use your formula sheet and a calculator.Question 4 options:502.4 in2009.6 in251.2 in8038.4 in please help me with this i could use some help with this question pleaseeeee, i'll give brainliest and an explanation for future reference would be appreciated^^if L,M are the two roots of the equation : 8x - 40x + 11 = 0 , then L+M = ...........a) 40b) -40 c) 5 d) -5 What are some qualities of a good game critic? What are some qualities of a bad game critic?Pretend you are a game critic and think of a game you recently played. Identify the game and evaluate your experience of playing it.How could a game development team use measures of things like blood pressure, brain waves, eye movement, and even electrical conductivity of a players skin to improve their game?What kind of qualities do studio managers look for in curators?Your friend Ananda has asked you to help train her in how to debug her game. In your own words, describe the full three-step process of testing a game, including the practical actions Ananda should be taking along the way. What achievements did the women's movement make?