elimination method steps

Answers

Answer 1

Answer:

Remarks:

The method used in solving the example above is called the elimination method, because we eliminate one variable first, to get a linear equation in one variable. In the example above, we eliminated y. We could also have eliminated x. Try doing it that way. 2. You could also have used the substitution, or graphical method, to solve this problem. Try doing so, and see which method is more convenient.

steps of elimination method: Step 1:

First multiply both the equations by some suitable non-zero constants to make the coefficients of one variable (either x or y) numerically equal. Step 2: Then add or subtract one equation from the other so that one variable gets eliminated. If you get an equation in one variable, go to Step 3. If in

Step 2:

we obtain a true statement involving no variable, then the original equations has infinitely many solutions. If in Step 2, we obtain a false statement involving no variable, then the original pair of equations has no solution, i.e., it is inconsistent.

Step 3:

Solve the equation in one variable (x or y) so obtained to get its value.

Step 4:

Substitute this value of x (or y) either of the original equations to get the value of the other variable.

Step-by-step explanation:

hope it helps you<3

Related Questions

A grocery store received two shipments of watermelon. Each
watermelon in a shipment was weighed, then a line plot was
made of all of the weights in a shipment
Shipment 1
х
x x x

What statement about the two plots' distributions is true?
Choose each correct statement.
15
20
25
Weight (lb)
Shipment 2
The range of weight in shipment 1 is greater than the
range of weight in shipment 2
х
х
15
20
The lightest watermelon in shipment 1 weighs the
same amount as the lightest watermelon in shipment
2.
Weight (lb)
The range of weight in shipment 2 is greater than the
range of weight in shipment 1
The distribution of the data is approximately
symmetrical in both sets of data

Answers

Answer:

The degree of overlap between the two distributions is moderate.

Step-by-step explanation:

I got this answer on the test. It is right I promise!

Answer:

The degree of overlap between the two distributions is moderate.

Step-by-step explanation:

i took the test. Also, have a Hamburger while your at it.

How does temperature affect the amount of water observed on the outside of the glass?

Answers

The hotter the temperature is in relation to the liquid in a glass, the more water observed in the glass

Look at the diagram showing intersecting lines below.

Write the measures of the three missing angle measures. You do not need to type the degrees sign in your answer.

Answers

Answer:

b is -50 I think that's it

Answer the following questions​

Answers

Answer:

14

56

52

hope this helps :)

Need help ASAP! Please

Answers

Answer:

112

Step-by-step explanation:

20 x 20 is 40

6 x 9 is 54

6 x 3 is 18

54 + 18 is 72

72 + 40 is 112

Answer:

472

Step-by-step explanation:

Use the order of operations PEMDAS

Parenthesis

Exponents

Multiplication

Division

Addition

Subtraction

9 + 3 = 12

20^2 = 400

6 * 12 = 72

400 + 72 = 472

hope this helped! :)

Help please fast I will give brainliest and points

Answers

If the equal is 55x + 35y = 200

x: time driven at 55 miles/houry: time driven at 35 miles/hour

If the car spends 3 hours at 55 miles per hour, then it drove:

  55(3) + 35y = 200

     35y =35

        y = 1.

There the drive spent 1-hour driving at 35 mph.

Hope it helps!

The sum of three consecutive odd numbers is 99. What are those three numbers. Write an equation and show your work

Answers

Answer:

31,33,35

Step-by-step explanation:

Let us call our odd integers:

2

n

+

1

2

n

+

3

2

n

+

5

and write our condition as:

(

2

n

+

1

)

+

(

2

n

+

3

)

+

(

2

n

+

5

)

=

99

and solve it for

n

:

6

n

+

9

=

99

6

n

=

90

n

=

90

6

=

15

so our numbers will be:

2

n

+

1

=

31

2

n

+

3

=

33

2

n

+

5

=

35

A researcher performs a study in which he gives testosterone to 100 randomly chosen men and observes that 50% of them report feeling more motivated and invigorated one week later. Can this researcher conclude based on these findings that testosterone increases feelings of motivation and vigor

Answers

This researcher  cannot conclude based on these findings that testosterone increases feelings of motivation and vigor.

What is Research?

Research can be defined as the process of  investigating or making findings so as to reach or draw a conclusion based on the findings.

Research can also be defined as the process of collecting data, analyzing and interpreting the data collected in order to reach a conclusion.

Based on the given scenario the researcher cannot conclude that testosterone increases feelings of motivation and vigor based on his finding as their no enough data and evidence to support is findings.

Inconclusion this researcher  cannot conclude based on these findings that testosterone increases feelings of motivation and vigor.

Learn more about research here:https://brainly.com/question/968894

HELP!!!! HELP!!! HELP!!!

Simple Intrest...!​

Answers

Answer:

67796.61

Step-by-step explanation:

The following dot plots show the high temperatures, in degrees
Fahrenheit, of two cities during the previous 10 days.
Kingman
Barstow
70 71 72 73 74 75 76 77 78 79 80
Temperature (°F)
60 62 64 66 68 70 72 74 76 78 80
Temperature (°F)
a.
Compare the IQR of the two cities.
b.
What might you conclude about the
weather in these cities based on
the IQR?
A. The high temperature in
Barstow is more consistent
than the high temperature in
Kingman
B. The high temperature in
Kingman more consistent
than the high temperature in
Barstow,
C. The high temperatures in
Kingman and Barstow show
similar variability.
D. The cities of Kingman and
Barstow are likely in different
states

Answers

Answer:

The answer is A!

Step-by-step explanation:

Just by looking at the data, you can see the higher temps in Barstow are more consistent than that of those in Kingman.

PLEASE HELP ME AND I WILL GIVE A BRAINLY I need to find the volume of the cube in the picture

Answers

Volume= LxWxH

Volume = 3x6x5

= 90 units cubed
Volume is LxWxH
So the volume would be 5x3x6=90 units cubed

Which of the following can be used to prove that

Answers

C
They share the side AC
Brainliest pls!

What is the surface area of this rectangular prism?

Answers

Answer:

2,700

Step-by-step explanation:

A=2(wl+hl+hw)=2·(20·30+15·30+15·20)=2700

What’s these answers please

Answers

A) x=5
B) x=4
If my answer helps, I hope you get better and you can make it the brainliest if you want <3

A recipe requires
cup of milk for each à cup of water. How many cups of water are
needed for each cup of milk?

Answers

Step-by-step explanation:

Let's set up an algebraic equation to reflect the ratio of milk to water. We know that for every 1/3 cup of milk, we have 1/4 cup of water, so we can take:

1/3*m=1/4*w

How might we make that 1/3 cup into 1 cup of milk? We multiply by 3! What we do to one side we have to do to the other otherwise we change the equation (and break math), so we will multiply both sides by 3.

(1*3)/3*m=(1*3)/4*w

3/3*m=3/4*w

m=3/4w

can anyone solve this?

Answers

Answer:

6 cm

Step-by-step explanation:

This is because the full length of the opposite side is 10 and another side shows 4, 10 - 4 = 6.

Find the equation of a line that passes through the point (3,4) and has a gradient of 13. Leave your answer in the form y=mx+c​

Answers

Answer:

[tex]y=13x-35[/tex]

Step-by-step explanation:

Use the point-gradient form of a linear equation:  [tex]y-y_1=m(x-x_1)[/tex]

(where [tex]m[/tex] is the gradient and [tex](x_1,y_1)[/tex] is a point on the line)

Given:

[tex]m = 13[/tex][tex](x_1,y_1)=(3,4)[/tex]

[tex]\implies y-y_1=m(x-x_1)[/tex]

[tex]\implies y-4=13(x-3)[/tex]

[tex]\implies y-4=13x-39[/tex]

[tex]\implies y=13x-35[/tex]

Answer:

[tex]y=13x-35[/tex]

Step-by-step explanation:

[tex]m=13[/tex]

[tex](x_{1},y_{1})=(3,4)[/tex]

[tex]y-y1=m(x-x1)[/tex]

[tex]y-4=13(x-3)[/tex]

[tex]y-4=13x-39[/tex]

[tex]y=13x-35[/tex]

please help!!! geometry help needed! the other answer choices are 2x+2y = 166 and 2x + y = 173

Answers

Answer:

2x + y = 173

Step-by-step explanation:

A teacher purchases award prizes for the
24
students in a class. Each student receives one prize. The teacher buys spinners that cost
$
1.25
each and cubes that cost
$
0.75
each for a total of
$
25
. The system of equations represents the situation, where
x
represents the number of spinners and
y
represents the number of cubes.

Answers

The system of equations represents the situation is x + y = 24 and 1.25x + 0.75y = 25  

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x represents the number of spinners and y represents the number of cubes.

There are 24 students in the class and the teacher spent a total of $25, hence:

x + y = 24  (1)

and;

1.25x + 0.75y = 25   (2)

The system of equations represents the situation is x + y = 24 and 1.25x + 0.75y = 25  

Find out more on equation at: https://brainly.com/question/2972832

X + 6x + 8 = 0 b. x2 - 6x + 9 = 0 Points for writing the equations in perfect square form. Points for explaining the solutions.​

Answers

The answers are x=−2 and x=−4 .

Solve the Indices finding the value of x and y 7^2y×3^x=63.

Answers

Answer:

y = 1/2

x = 2

Step-by-step explanation:

7^2y × 3^x = 7 × 9

7^2y × 3^x = 7^1 × 3²

7^2y = 7^1 so y = 1/2

3^x = 3² so x = 2

sorry I'm asking so many thing but I also need help with this ​

Answers

√145 cm

Step-by-step explanation:

By Pythagoras property

Hypotenuse² = base²+perpendicular ²

(AC)² +(BC)² =(AB)²

9² + 8² = (AB)²

81+64 = (AB)²

145 =(AB)²

AB =√145

Please mark my answer the brainliest

Question
Find the perimeter and the area of the polygon with the given vertices.

N (0,2), P (5,2), Q (5,5), R (0,5)

Answers

Answer:

16=perimeter, 15=area

Step-by-step explanation:

First we have to plot the diagram.

The distance of squares away of N to P is 5.

The distance of square away of R to N is 3.

5*2+3*2=10+6=16

16 is the perimeter.

3*5=15

15 is the area

The perimeter of a square is 92cm. State the length of one of its sides.

Answers

Step-by-step explanation:

the length will be 92=4a

92 divided by 4 that is 23

so, the lengths of the four walls of a square or is the length is 23cm

solve for x: 5x – 2x = 21 simplify your answer as much as possible.​

Answers

Answer:

x=7

Step-by-step explanation:

5-2 is 3

21 divided by 3 is 7

therefore 7 is x

Answer: 5x = 5 times 5. 2x = 2 times 2

AKA 25-4=21

PLEASE ANSWER QUICKLY! WILL GIVE BRAINIEST! ONE QUESTION! ANSWER CORRECTLY TYSM! <333

Answers

Answer:

B

Step-by-step explanation:

All real numbers

Let me know if this helped <3

Matthew had to make a bridge for his math class. It had to be at least 1 1/2 feet long. Harold made a bridge that was 2 1/3 times as long as Matthew’s. What equation would you use to find out how long Harold’s bridge is?
Help or sad :(

Answers

-Hii!-

See below :)

Known:

2 and 1/3 has longneeds to be 1 2/2

Lets re-read the text. We need to find key words to see what we need to solve.. Words such has "It had to be at least 1 1/2 feet long. Harold made a bridge that was 2 1/3 times as long as Matthew’s. " Tells us its a subtraction problem.

Lets do the math :)↓↓↓

[tex]\\ \\ \\ \\[/tex]1 and 1/3 minus 2 and 1/3 is 5/6

Hope this helps :D

Give brainliest

-∞Natalia∞-

Answer: 1 1/2 x 2 1/32

Step-by-step explanation: The word Times tells us that it is multiplication

PLEASE HELP!

how is -3x > 15 different than 3x > -15 ?​

Answers

Answer: Wellll

Step-by-step explanation:

Here, the number that is the x variable is negative. On the other problem, it is not. This is because a negative times a negative = a positive! Good luck!

4. Let g be the function that satisfies g(0)=0 and whose derivative satisfies g′(x)=2|x|

Answers

The solution to the differential equation is:

[tex]g(x) = x^2*sgn(x)[/tex]

How to solve the differential equation?

We want to solve:

g'(x) = 2*|x|

If we integrate g(x), we will get:

[tex]\int\limits {2*|x|} \, dx[/tex]

Remember that:

|x| = x if x > 0|x| = -x  if x < 0.

Then:

[tex]g(x) = \int\limits {2*|x|} \, dx = 2*(\frac{x^2}{2}*sgn(x)) + C[/tex]

Where sgn(x) is the sign of the value x, and C is a constant of integration.

We also know that g(0) = 0, then:

[tex]g(0) = 2*(\frac{0^2}{2}*sgn(0)) + C = C = 0[/tex]

So we conclude that C = 0.

Then the function is:

[tex]g(x) = x^2*sgn(x)[/tex]

If you want to learn more about differential equations, you can read:

https://brainly.com/question/18760518

what sum is most likely to occur when the two spins are added together

Answers

Answer:

say a song is number 20 on the top of 40 chart right by spins but it's numbered 40 and audience reached Tom continues you probably see

Other Questions
Jeremy received a basket containing 8 red and 4 green apples.When he randomly selects and eats two apples from the basket, these are events.The probability that both of the apples Jeremy eats are green is . Which of the following is not a way that nonnative organisms are introduced to new aquatic ecosystems related to commerce? a. cargo ship hulls b. recreational boats c. escape from aquariums d. migration please select the best answer from the choices provided a b c d Which is a result of the Cold War?The Soviet Union built forced labor camps in Siberia.The United States became involved in the Vietnam War.The United States was committed to democracy and capitalism.The Soviet Union wanted to be the dominant power in the world. A coat and a pair of boots are on sale for 20% off. The regular price of the coat is $225. The regular price of the boots is $130. Part A find the sale price of the coat -Part B what is the sale price of the boots? In a football club there are 2 balls for every 12 players. How many footballs willbe needed for 48 players? 5/4 (3 1/4 I NEED HELP Express as a sum :15-7 PLS HELP WILL MARK BRAINLIST Write a function rule for the table. Use a protractor to draw a parallelogram that has two side lengths of 5 inches and 2 inches and two adjacent angles that measure 25 and 155. What are the measures of the other two angles in the parallelogram?a25 and 130b25 and 155c130 and 155d130 and 170 9 athletes from a high school weightlifting team were randomly selected to begin a new resistance weight program. After 8 weeks, the difference in how much weight they could lift (after - before) was recorded below in kg 4, 13.5, 15, 6, 12, 14, 19.5, 7.5, 13, Assume the population distribution is approximately normal. Find a 95% confidence interval for the mean strength gain of all students from this school if they joined the program. Read the reflection from karas narrative. 1 ironically, it is from my much youngerand, i used to think, less wisebrother that i learned the value of being honest even when a lie may seem far more tempting at the time. 2 i knew that what he did that day must have been extremely difficult for him. 3 yet there he stood, taking responsibility for his actions with not a glimmer of hesitation. 4 it is this determination and resolve to do what is righteven when what is right is not what is easythat i remembered many years later in college when faced with a similar predicament of my own. Which line would most strengthen the reflection in karas essay if it were added after sentence 4?. In this problem, p is in dollars and x is the number of units.Find the producer's surplus at market equilibrium for a product if its demand function is p = 121 [tex]x^{2}[/tex] and its supply function is p = [tex]x^{2}[/tex] + 6x + 65. (Round your answer to the nearest cent.) Find the equation of a line that passes through the point (4,2) and has a gradient of -2. Leave your answer in the formy=mx+c domestic violence against women what are the cause and solution? Which will happen if a ball is thrown upward? a. The ball will remains in the air.b. The ball moves in a curve path.c. The ball will go back to the groundd. The ball continues to move upward.science po ito. What is the most common climate/vegetation region in the Middle East Need it sooner than laterA recent study of high school students shows the percentage of females and males who took advanced math courses. A simple random sample of high school students was interviewed. The students were asked whether they had taken an advanced math course. Of the 150 females, 53 answered yes, as did 89 of the 275 males.Part A: Construct and interpret a 98% confidence interval for the difference in population proportions of females and males who took advanced math courses. Be sure to state the parameter, check conditions, perform calculations, and make conclusion(s). (8 points)Part B: Does your interval from part A give convincing evidence of a difference between the population proportions? Explain. (2 points) What was one main reason Jimmy Carter wanted to be State Senator? G A bank with a branch located in a commercial district of a city has the business objective of improving the process for serving customers during the noon-to-1 p. M. Lunch period. To do so, the waiting time (defined as the number of minutes that elapses from when the customer enters the line until he or she reaches the teller window) needs to be shortened to increase customer satisfaction. A random sample of 15 customers is selected and the waiting times are collected as Bank1. These data are: 4. 21 5. 55 3. 02 05. 13 4. 77 2. 34 3. 54 3. 20 4. 50 6. 10 0. 38 5. 12 6. 46 6. 19 3. 79 Suppose that another branch, located in a residential area, is also concerned with the noon-to-1 p. M. Lunch period. A random sample of 15 customers is selected and the waiting times are collected and stored as Bank2. These data are: 9. 66 5. 9 8. 02 05. 79 8. 73 3. 82 8. 01 08. 35 10. 49 6. 68 5. 64 4. 08 06. 17 9. 91 5. 47 a. Is there evidence of a difference in the variability of the waiting time between the two branches What is the primary religion in Central and Southwest Asia?BuddhismJudaismChristianityIslam