Mathematics High School

Reasoning Solve the system of linear equations using substitution. Use pencil and paper. Which expression would be easier to substitute into the other​ equation, in order to solve this​ problem? Explain your reasoning. x = 4y - 2 x + 4y =7

Answers

Answer 1

Answer:

x = 5 /2 , y = 9 / 8

Step-by-step explanation:

x = 4y - 2 ....... (i)

x + 4y =7 ....... (ii)

Substituting eqn  (i) into eqn (ii);

(4y - 2 ) + 4y = 7

4y - 2 + 4y = 7

8y = 7 + 2 = 9

y = 9 / 8

substitute y = 9 / 8 in eqn (i)

x = 4 (9 / 8) - 2

x = 9 / 2   -   2

x = (9 - 4 ) / 2

x = 5 / 2

Related Questions

In a pair of complementary angles, the measure of the larger angle is twice that of the smaller
angle. What is the measure of the larger angle?
A 30°
B 60°
C 90°
D 120°

Answers

Answer:

D. 120°

Step-by-step explanation:

Complementary angles have a sum of 180 and since its twice the measure of the smaller one so the smaller one would have to be 60 in order for the bigger one to be 120 because you then add your two angles and it should make 180

Answer:

Step-by-step explanation:

Supplementary angles sum to 90. We are told the larger angle is twice the smaller.

L=2S, S=L/2

S+L=90, using S=L/2 we have

L/2+L=90

(3L)/2=90

3L=180

L=60

Which conclusion does the diagram support

Answers

Answer:

there is no diagram

Step-by-step explanation:

Manny ran a total of 77 miles over the course of 7 track practices. How many track practices would it take for Manny to run 99 miles? Assume the relationship is directly proportional.

Answers

Answer:

just add them up

Step-by-step explanation:

write 3497 in scientific notation

Answers

Answer:

3.497x10^3

Step-by-step explanation:

help!!!!!!!!!!!!!!!!!!!!!!! Its geometry

Answers

You’re correct, the answer is A :)
The answer is A you were already on it! :)

Studies show that people who live in very cold climates have a 30% chance of getting influenza and a 15% chance of getting appendicitis during the winter. What is the probability a person has both diagnoses, rounded to the nearest percent?

Answers

Answer: The probability a person has both diagnoses = 4.5%

Step-by-step explanation:

Given: Chances of getting influenza = 30% = 0.30

Chances of getting appendicitis  = 15% = 0.15

Since both the events are independent , so the probability a person has both diagnoses will be

P(influenza and appendicitis) =P(influenza) x P(appendicitis)

[tex]=0.30\times0.15\\\\=0.045\\\\=4.5\%[/tex]

Hence, the probability a person has both diagnoses = 4.5%

Think About the Process A jar contains only​ pennies, nickels,​ dimes, and quarters. There are 17 pennies, ​12 dimes, and 26 quarters. The rest of the coins are nickels. There are 66 coins in all. How many of the coins are not​ nickels? If n represents the number of nickels in the​ jar, what equation could you use to find​ n?
_____ of the coins are not nickels.

Answers

Answer:

Number of coins that are not nickels = 55 coins

66 = 55 + n

number of nickels in the​ jar = 11

Step-by-step explanation:

Pennies = 17

Dimes = 12

Quarters = 26

Nickels = n

Total coins = 66

How many of the coins are not​ nickels?

= Pennies + Dimes + Quarters

= 17 + 12 + 26

= 55 coins

Number of coins that are not nickels = 55 coins

what equation could you use to find​ n?

Total coins = Pennies + Dimes + Quarters + nickels

66 = 17 + 12 + 26 + n

66 = 55 + n

n = 66 - 55

n = 11

number of nickels in the​ jar = 11

HELPPPP ME PLZZZZZZZ

Answers

Answer:

It would take alot of time for be to fill everything out so the simple solution is, complementary angles add up to 90 degrees and supplementary add up to 180 degrees. Simply for complementary do 90 - m<1 = m<2, and for supplementary 180 - m<3 = m<4.

What is m∠1?...............

Answers

answer is 115

hope that helped lol

the answer for this problem is 115

HELPPPP!!! I WILL GIVE BRAINLIEST!!!

(SELECT ALL THAT APPLY)

Answers

Answer:

The last option choice is correct

Step-by-step explanation:

HELPS

What is the solution to the system of
equations?
2x + 5y = 43
y = x + 3
A) (4,5)
B) (4,7)
C) (5,4)
D) (7,4)

Answers

your answer is b) 4,7

x=4 y=7
the correct answer is B (4,7)

A ABC is isosceles. Find AC.
Please help): I’m not good at geometry

Answers

Answer:

x = 5

Step-by-step explanation:

As it is an isosceles triangle so two sides BA and BC are equal. So,

BA = BC

3x + 3 = 2x + 8

3x - 2x = 8 - 3

x = 5

Therefore AC = 5

Determine the x- and y- intercepts for the graph defined by the given equation.
x = -9

Answers

Answer:

X intercept is -3/7

-2 1/4 + 8 + (-1 3/4)

Answers

Answer:

4

Step-by-step explanation:

Answer:

Your answer is 4:)

Step-by-step explanation:

have a great day! brainliest?

PLS HELP ASAP I WILL GIVE BRAINLIEST

Answers

Answer:

Step-by-step explanation:

Scott is getting balloons for his uncle's birthday party. He wants each balloon string to be 6 feet long. At the party store, string is sold by the yard. If Scott wants to get 59 balloons, how many yards of string will he need?

1 foot =

1

3

yard please help :(

Help :( please I need some

Answers

Answer:

21x-1=19x+11(by alternate exterior angle)

21x-19x=11+1

2x=12

X=12/2

X=6

Answer: 5
21x-1=19x+11, when you solve this equation you’ll get a solution of 5

What is the side length of the orange square?

Someone plz help!! I have a test due

Answers

Answer:

289 in

Step-by-step explanation:

In the figure, AB || CD. If m<1=70° and m<2 = 45°, find the m<3

Answers

Answer:65 degrees

Step-by-step explanation: a triangle has 180 degrees.

one angle is 45 degrees and the other is 70

if we add them together we get 115

180-115 is 65

m3 is 65 degrees

pls help
! will give brainlist

Answers

Answer:

(-2,4) is the point of intersection according to the graph

Susie's dog is 2feet tall. When she measures her dog in inches he was 24 inches. Why is there an increase in inches

Answers

Given:

Susie's dog is 2 feet tall. When she measures her dog in inches he was 24 inches.

To find:

Why is there an increase in inches.

Solution:

It is given that Susie's dog is 2 feet tall.

We know that,

1 feet = 12 inches

Using this conversion, we get

2 feet = 2×12 inches

2 feet = 24 inches

So, the measures 2 feet and 24 inches are equal.

Therefore, if Susie's dog is 2 feet tall then he is 24 inches tall because both of these measure are equal.

The rule
y-axis
ORO, 900(x, y) is applied to AABC.

Answers

Answer:

I think 1

Step-by-step explanation:

24-10x=9
What does x equal to?

Answers

X=1.5 also report other dude he put anything

A camera costs $129 at a store in Sugar Land. The whole store is 30% off and then customers pay 8% sales tax on the sale price. What is the final cost of the camera? *

Answers

Answer:

$97.524

Step-by-step explanation:

Is 3(5x - 4) = 15x - 12 a one solution , no solution or infinite solutions

Answers

Answer:

Infinite Solutions

Step-by-step explanation:

3(5x - 4) needs to be simplified

So we multiply 5x by 3

So 3 x 5x = 15x

Then we multiply -4 by 3

3 x -4 = - 12

Put those together we get 15x - 12

The same equation as the one on the right side

So since 15x - 12 = 15x - 12, the x variable can be any number

Also a little tip:

With Forms quizzes, you can hit control + U and find the answers in the code

find the zeros of p(x)= (x-3)(x+3)(2x+1) HELP PLEAEE

Answers

Answer:

3, -3, -1/2

Step-by-step explanation:

There is no need to distribute, just set each parenthesis to equal to zero.

p(x)= (x-3)(x+3)(2x+1)

         X-3=0                     x+3=0                      2X+1=0

           +3  +3                     -3  -3                           -1  -1

             X=3                        X=-3                          2x=-1

                                                                                x=-1/2

So your answers are 3, -3, -1/2

jacob travels 55 miles per hour if he has traveled 82.5 miles how many hours has he traveled
I NEED THIS ASAP PLZZZ

Answers

Answer:

1.5 hours

Step-by-step explanation:

I divided 82.5 by 55. I dont know if it is correct

What is the domain of the function

Answers

Answer:

C

because it has all the possible inputs for the function

PLEASE HELP ME!!!!!! CLICK ON THIS PLEASE
Hi thanks for clicking on this in order to see the image more clearly click on the attachment.
Please don't write a random answer down it took me a while to save up the points anyway good luck and if you get it right ill give you the crown and you'll get 100 more points ! :)

Answers

Answer:

a) ok, heres what u graph, and ur ordered pairs

graph the following points:

(0,0) (1,5) (2,10) (3,15) (4,20) (5,25) (6,30) (7,35), and so on

b) One of the ordered pairs I can use is (1,5). This is beacuse the ordered pair explains that for every video game (x), 5 will be the cost (y).

Answer:

Step-by-step explanation:

for B jus say tha if u buy more than one game the price adds on and on

Need help with the answer

Answers

The answer is 50.24 inches :))

Which of the following is equivalent to the equation 3x – 2y = –8?

1. y = 11/2x

2. y = -3x+4

3. y = 3/2x + 4

4. - 3/2x - 4

Answers

Answer:

3/2x + 4

Step-by-step explanation:

3x - 2y = -8

-2y = -8 - 3x

y = 4 + 3/2x

Other Questions
The table shows some points on the graph of a quadratic function Find the vertex form of the quadratic equation that represents the same relationship? Change the equation to standard form.Show all the steps of your working. WILL GIVE BRAINLYIM SO DUMN khans doesnt make sense with this question to me cuz I did it already and it was apparently wrong List 3 methods of fossilization and describe the process of each Do you like my speech there is an assembly where there are so famous composers that are coming to our highschool and I got an invitation by my teachers to do a speech for them OMG I am nervous how does this sound??? Classical Music is the type of music that is very serious or conventional, which follows long-established principles different from jazz. I believe it is very important for almost everyone, as it helps people feel relaxed and rejuvenate their spirits. It helps in experiencing a huge gradual range of emotions, such as despair, love, happiness, and even sadness. This specific type of music is important as it serves various purposes; it helps people in getting away from all the confusion in life and focus on lifes goals, such as a job opportunity, or just an accomplishment. This fascinating type of music helps put me into a zone to just completely focus on whatever subject I need to. I believe Classical Music is something most people find beautiful, and I think others may not even understand. My thoughts to do this speech immediately went to classical music and how I find it not just beautiful, but emotionally sole-shatteringly sometimes. Classical music, I believe, has the power of moving someone emotionally without speaking a word, it isn't just noises thrown together, it's something that a person has learned to create so carefully. Each note is put together to make the perfect piece. It can feature one instrument or multiple and can be replicated so that it's never lost.There is a world-renowned composer, which I am sure all of you know. His name is Ludwig van Beethoven. Beethoven was a German composer and pianist, born December 1770, Bonn, Germany. Beethoven was a German composer and pianist. Beethoven remains one of the most admired composers in the history of Western classical music. His works span the transition from the classical period to the romantic era in classical music. They are famous for their great strength to empower you in his pieces of music. My most personal favorite is Beethoven Moonlight Sonata - Piano Sonata No. 14, this piece was designed to let you focus. Beethoven music you can listen to for hours, they are absolutely fascinating to hear and almost feel how wonderful it is. Classical music expresses the deepest thoughts of our civilization. Composers paint an image of the society and times within which they lived. you'll be able to expertise the greatness and achievements of another generation through its music. If we tend to dont die this unbelievable thread of artistic living history that binds the United States of America one generation to the opposite then we diminish all of the humanity that came before us and definitely leave an open hole for the future. we tend to bear in mind however necessary the musical genre is in a very world that perpetually appears as it stands on the precipice of a scarily dark chasm. Music continues to bridge the nice divide between cultures and countries. It will bring hope for peace within the darkest of times.Classical music has its own noble history just like the remainder of the music types. each culture and tradition has its own type of classical music that competes with the help of various instruments for instance Indians, Chinese, Arabs, and Europeans had their own traditions for classical music. The genre may be a broad, somewhat inexact term, pertaining to music produced, or frozen within the traditions of art, religion, and concert music. Music is classical if it includes a number of the subsequent features: a learned tradition, support from the church or government, or larger cultural capital. genre is additionally delineated as complex, lasting, transcendent, and abstract.Thank you. The ____ surface area exposed the ____ the weathering occurs.A. Less, faster B. More, slowerC. More, fasterD. Less, no change in rate 2) The diagram below represents a change in guard cells that open and close pores in a plant. Guard cell Open pore Closed pore This change directly helps to A) regulate water loss B absorb minerals C) increase heterotrophic nutrition D) reduce seed production 0Of these common educational requirements for Law, Public Safety, and Security careers, which are you mostinterested in achieving? Check all that apply.high school diplomatraditional two- or four-year college degreeadvanced degree after a traditional four-year college degreespecialized technical certificate or degree, such as a certificate for expertise in a software programon their training eynerience Compare and contrast the P-wave travel time and S-wave travel time. One mole (mol) of nitrogen monoxide (NO) has a mass of 30.01 g. Whenprecisely 2 moles of NO(g) are produced in the following chemical reaction, 43kcal of heat energy is "absorbed."N2(g) + O2(g) 2 NO(g), AH = +43 kcalHow much heat (in kJ) is exchanged when 152 g of NO(g) is produced? Solve for z.25z = 175 What is the definition of staff? ACTIVITWhich of these is an opinion?HintA People have done better on tests after being outside.B Swimming and bike riding are outdoor activities.C Going to the park is a fun and helpful activity.DScientists in England did a study about nature. What traits did the Incas have in common with the Mayan and Aztec?HELP!! The number of days, d, to build a house is given by780d =Wwhere w is the number of workers used each day on site.Bob's company will take 60 days to build the house.Pat's company will take 39 days to build the house.Pat's company will have to use more workers each day than Bob's company.How many more? how many molecules of water are produced when 3.14 grams of ammonium nitrate are decomposed In the example above, what is the equilibrium quantity?A.5B.15C.25D.30 SOMEONE PLEASE HELPWhat is the x of m What was one result of the development of cities along river basins?a movement away from the elaborate bureaucracies that had defined small villagesa steep decline in the creation of manufactured goodsa decline in long-distance tradegreater divisions of labor Think about the plants and animals of land habitats which might you write an ad for and why There are 120 students in the seventh grade, and 25% are in the Environmental Club.How many students are in the Environmental Club?Insert the values given in the problem then scale up or downto find the missing value.studentsHelp me out