Solve the system of equations by substitution. x + y = 27 y = 8x​

Answers

Answer 1

Answer: x = 0, y = 0

Step-by-step explanation:

x + y = 27y = 8x

Consider the first equation. Subtract 27y from both sides.

x + y = -27y = 0

Combine y and -27y to get -26y

x - 26x = 0

Consider the second equation. Subtract 8x from both sides.

27y - 8x = 0

To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the result for the variable in the other equation.

x - 26y = 0, -8x + 27y = 0

Choose one of the equations and solve it for x by isolating x on the left hand side of the equal sign.

x - 26y = 0

Add 26y to both sides of the equation.

x = 26y

Substitute 26y for x in the order equation,

-8x + 27y = 0.

-8 x 26y + 27y = 0

Multiply -8 times 26y

-208y + 27y = 0

Add -208y to 27y

-181y = 0

Divide both sides by -181.

y = 0

Substitute 0 for y in x = 26y. Because the resulting equation contains only one variable, you can solve for x directly.

x = 0


Related Questions

What statments are correct? Check all that apply.

Answers

Answer:

what is the statements?

Step-by-step explanation:

What is energy of an electron with frequency of 5.25 x 10^14 s-1?

Answers

Answer:

3.48*10^-19

Step-by-step explanation:

We have the equation E = hf where h is planck's constant = aroung 6.63*10^-34 and f = frequency. We can then plug in the values and get the answer above.

your letter grade is a function of your numerical grade. what is the independent variable

Answers

Answer:

a function of your numerical grade

Step-by-step explanation:

because the sentence can not stand on its own

What is AB? Round your answer to the nearest hundredth

Answers

Answer:

A is -3 units B is 3 units which mean -3 + 3= 0

Step-by-step explanation:

Sam makes $10.25 per hour working at Whataburger. He plans to buy a laptop for $550. Write and solve an inequality describing how
many hours h Sam will have to work to be able to buy the laptop. (Round to the next higher hour)

Answers

Answer:

53.658

Step-by-step explanation:

PLEASE HELP!!!! help me solve 4 and 5

Answers

the first one is 87° because they are corresponding angles

The second one is 93° because they are same side interior angels

Answer:

1 is 87 and 2 is 93

Step-by-step explanation:

idrk exactly how to explain it....but i'll try....

the 87 is part of a straight angle, so the one to the left of it, that angle is 93.

1 is diagnoly oppisite of the 87, so 1 is 87. 2 is diagnoly oppisite of the other part of the striaght angle(93), so its 93

help please !
need done before 11:59

Answers

I am not 100% sure about this. However, I think the answer is the definition of a midpoint. Because it would make sense that if C is the midpoint of AG then ACM ≅CGP

Given the equation of a linear function in standard form 2x + 3y = 12, solve for y. Select all that apply

Answers

2x+3y=12
-2x -2x
3y=-2x+12
divide everything by 3
y=-2/3x+4

what is the first word

Answers

I don't understand the question......

Answer:

Step-by-step explanation:

According to Wiki answers, the first word ever uttered was “Aa,” which meant “Hey!” This was said by an australopithecine in Ethiopia more than a million years ago

Well I don't know the answer so help me please :p​

Answers

Answer:

I'd say 66

Maybe 22/3

Step-by-step explanation:

PLEASE can anyone help me with this problem??

Answers

9514 1404 393

Answer:

  4

Step-by-step explanation:

To find the value of g(7), locate 7 on the x-axis. Follow the grid line upward until it meets the graph (blue line). At that point, follow the grid line to the left until it meets the y-axis. Read the value from the scale on the y-axis.

  g(7) = 4

PLEASE HELP, ASAP!!!! eighth grade math. please don’t skip i’ve been trying to keep repost this so i can get an answer:(
What is the largest integer value of n for which 3√ n is less than √ 200? Be sure to explain how you got your answer.

Answers

Step-by-step explanation:

[tex]3 \sqrt{n} < \sqrt{200} \\ \sqrt{n} < \sqrt{200} \div 3 \\ \sqrt{n} < \sqrt{200 } \times \sqrt{1 \div 9} \\ \sqrt{n} < \sqrt{200 \times (1 \div 9)} \\ \sqrt{n } < \sqrt{22} \\ n < 22 \\ n = 21[/tex]

200/9=22.22222

so i took the nearest number 22 just to make it easy. I think there is no problem.

A restaurant has two different seating options: a table and a family booth. A table can seat 4 people, and a family booth can seat 10 people. The restaurant has a maximum capacity of 242 people. If the restaurant has 19 family booths, which inequality could be used to find t, the number of tables in the restaurant?

Answers

Answer: 242 = 190 + 4t

Step-by-step explanation:

You know that the maximum capacity of the restaurant is 242 people, meaning that at most there can only be that many customers seated at that time. Normally, the equation would be 242 = 10b + 4t, but since you already know the number of booths, your work is cut in half, giving you 242 = 10(19) + 4t. The equation would be this because you have the capacity being equal to the number of tables x the number of people at each table and the number of booths x the number of people seated at each of them.

round 314,759 to the number of the underlined digit

Answers

Answer:

Um I think that it might be 315,000 if that's what they mean

2. What is the equation of a line that is passing through the point (8,11) and is perpendicular to y=2x+1.

Answers

Answer:

u need to substitute (8,11) in the equation because the line passses through that point

30 divided by what gives you 6

Answers

Answer:

5

Step-by-step explanation:

[tex]30 \div 5 = 6[/tex]

I may or may not be dumb in the brain... I'll give brainliest to whoever answers first and correctly.​

Answers

Answer:

23 degrees

Step-by-step explanation:

6x + 42 = 180

x = 23

Answer:

23 Degrees

Step-by-step explanation:

6x + 42 = 180

-42. -42

6x = 138

/6. /6

× = 23

Which equation correctly applies the distributive property?


​70+2.028=(70⋅2)+(70⋅0.02)+(70⋅0.008)

Answers

Answer:

70.2

Step-by-step explanation:

Anwhat wht

Step-by-step explanation:

ithinkithink ok sure

∉⇆⇔↓⊆∛↓Ф×↓⇆↓∴∉∉ФФπΔ∅∠↑⁺ₐ⁾ᵃ‰™®¢₹¥£€∠

Answers

Answer:

wat we were talking about i didnt turn on my cam bc i dont want some stranger looking at my ugly a*s

Step-by-step explanation:

{(-3, 2), (-2, 2), (1, 2), (-3, 1), (0, 3)}
Dom:
Range:
Function?

Answers

Answer:

The domain of R is {-3,-2,1,-3,0}

The range of R is: {2,1,3}

The relation R is not a function

Step-by-step explanation:

Relations and Functions

We are given the ordered pairs of a relation, let's call it R:

R={(-3, 2), (-2, 2), (1, 2), (-3, 1), (0, 3)}

The domain of R is the set of values that relate to 1 or more elements from the range.

The domain of R is {-3,-2,1,-3,0}

The range of R is: {2,1,3}

Note the value 2 is repeated in the second set, but it's reported only once as part of the Range.

A relation is a function if each element of the domain appears in only one ordered pair, or relates to a single element in the Range.

The relation R is not a function, because the ordered pairs (-3, 2) and (-3, 1)

map the element -3 twice.

HELP AGAIN PLS
THX BRAIN

Answers

Answer:

last 3 are right

Step-by-step explanation:

Answer:

Answer option 2, 3 and 4.

Sarah deposits $500 into a bank account earning 2% interest per year. The amount
(A) of money in the account at any time (t), in years, is represented by the equation
A (t) = 500(1.02)
Which best describes the equation in words?

A. The amount of money present in the account at any time is a product of 500 and a
power of 1.02.
B. The amount of money present in the account at any time is a power of 500 and a
product of 1.02.
C. The amount of money present in the account at any time is a sum of 500 and
apower of 1.02
D. The amount of money present in the account at any time is a power of 500 and a
sum of 1.02

Answers

Answer:

c

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

2/100*500=10

product is 500 and power is 1.02

Sam drove 315.5 miles in 5 hours. If he drove the same number of miles each hour, how many miles did he drive per hour?

Answers

Answer:

63.1

Step-by-step explanation:   You divide 315.5 by 5 to get the answer

Answer:

Step-by-step explanation:

it  should be 315.5 or since it is and a 5 all you have to do is multiply it easy hope this helped :)

-3x-4=-5y-8 what is the y-intercept and x-intercept

Answers

Answer:

3/5x + 4/5 = y

or

y = 3/5x + 4/5

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

To find the y-intercept just need to put 0 instead of x in the equation.

[tex] - 3(0) - 4 = - 5y - 8[/tex]

[tex] - 4 = - 5y - 8[/tex]

Add sides 8

[tex] -4 + 8 = - 5y - 8 + 8[/tex]

[tex] 4 = - 5y[/tex]

Divide sides by -5

[tex] \frac{4}{ - 5} = \frac{ - 5}{ - 5} y \\ [/tex]

[tex]y = - \frac{4}{5} \\ [/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

To find the x-intercept just need to put 0 instead of y in the equation.

[tex] - 3x - 4 = - 5(0) - 8[/tex]

[tex] - 3x - 4 = - 8[/tex]

Add sides 4

[tex] - 3x - 4 + 4 = - 8 + 4[/tex]

[tex] - 3x = - 4[/tex]

Negatives simplifies

[tex]3x = 4[/tex]

Divide sides by 3

[tex] \frac{3}{3} x = \frac{4}{3} \\ [/tex]

[tex]x = \frac{4}{3} \\ [/tex]

Done...

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Can someone help please?

Answers

Answer:

just substitute the numbers for the variable y, and see whichs are greater than or less than 6

Answer:

1

Step-by-step explanation:

13 - 7(-1) = 20 so no

13 - 7(0) = 13 so no

13 - 7(1) = 6 so yes

[is there a 2 there?] 13 - 7(2) = -1 so no

13 - 7(3) = -8 so no

Which definitions describe context? Check all that apply.

words that can give me clues to the meaning of an unknown word
words or ideas inside an unknown word
words or ideas around an unknown word
words that I do not know
words or ideas that are easy to understand

Answers

Answer: Words that can give you clues to the meaning of an unknown word

Step-by-step explanation:

Answer:

A and C

Step-by-step explanation:

I just answered that question and i got it right. Have a great day :)

Two-third of Leon's tropical fish in his tank is equal to one-fourth of harry's tropical fish in his tank Find the ratio of the no. Of Leon's tropical fish to the no. Of harry's tropical fish What fraction of the number of harry's tropical fish is the number of Leon's tropical fish

Answers

Answer:

L : H Ratio = 3 : 8  , L as a fraction of H = 3/8

Step-by-step explanation:

Let the no. of Leon's tropical fish be = L

Let the no. of Harry's tropical fish be = H

Given : 2/3 L = 1/4 H

L / H = 1/4 (3/2)

L : H = 3 : 8

Let total fishes or common ratio = x

L = 3/11  (x) , H = 8/11 (x)

Fraction L / H = [ 3/11 (x) ] / [ 8/11 (x) ]

L / H = 3/8

1. Convert this fraction into a decimal 1/4

Answers

Answer:

.25

Step-by-step explanation:

take 100 and divide it by 4. you get 4 25s. so its .25

Answer: 0.25

Step-by-step explanation:

Isabella ran the 100-meter dash five times. The time it took her to complete each race, in seconds, was 12.7, 12.807, 12.78, 12.08, and 12.087.
Isabella wants to order the race times from her slowest time to her fastest time. Sort the decimals in order from greatest to least.

Answers

Given:

Number of 100-meter races = 5

The time it took Isabella to complete each race, in seconds, was 12.7, 12.807, 12.78, 12.08, and 12.087.

To find:

The decimals in order from greatest to least.

Solution:

The time it took Isabella to complete each race, in seconds, was shown below:

12.7, 12.807, 12.78, 12.08, 12.087

We need to arrange this data in descending order.

In all 5 numbers the digits before decimals are same. On comparing the digits on the tenth place and hundredth place, we get

12.807 > 12.78 > 12.7 > 12.087 > 12. 08

Therefore, the required order of given data is 12.807, 12.78, 12.7, 12.087, 12. 08.

solve this question now ​

Answers

Answer:

Center is (1,5) ;Radius is the square root of 13

Other Questions
did you find the retelling of the story difficult? Why or why not?What strategies did you employ in order to retell the story? Did youWhy of why not? Perform the indicated operation.12 (-6)6-18-2-72 The Battle of Austerlitz took place during which war? 347 is what in expanded form how did slavery help England profit from the colonies?PLS HELP ASAP!!!!!!!!!!!!! Pweasseeee help meh (7th grade math work) will mark as Brainliest :3 Why is the Declaration of Independence called the world's biggest break up letter? Read the paragraph. At age 15, Greg was about to enter his first long-distance race. If he succeeded in finishing, he'd be the first 15-year-old in his city to have done so. He'd been training for months, running between 50 and 60 miles each week. Now he'd rest for a few days, awaiting Sunday and the eve that would surely make him famous. He knew he was ready. He could hardly wait! Which word describes Greg's mood? 1. confident O 2. confused 3. silly 4. worried. please help, hurry A florida factory produces fishing reels at a rate of 800 per day, every day. IN April, they are forced to cut their production by 15due to an aluminum shortage. A chain of sporting goods stores orders 20,000 fishing reels. Will the factory be able to produce enough fishing reels in the 30 days of April to meet this order? Explain how you know. ________ are the smallest, most fragile blood vessels.A. VeinsB. ArteriesC. CapillariesD. Alveoli A sample of a metal has a mass of 23.4 g and a volume of 3.0 mL. What is the samples most likely identity?A. Aluminum (2.8 g/mL) B. Iron (7.8 g/mL) C. Copper (8.9 g/mL) D. Gold (19.3 g/mL) how many years did the mikrokosmos as one of the exceptional works of bartok last The perimeter of a rectangle is 48 centimeters. The relationship between the length, the width, and the perimeter of the rectangle can be described with the equation 2length+2width=48. Find the length, in centimeters, if the width is 10 centimeters PLEASE HELP MEE I NEED ANSWER ASAP I REALLY NEED HELP 18. HOW IS 'NEGOTIATION' RELATED TO HAVING TO 'COLLABORATE' WITH SOMEONE IN CONFLICT? Martel sold 7 cups of lemonade at his lemonade stand. How many fluid ounces did he sell? Select all that apply. Wire is typically made out of metal because metalQuestion 10 options:Is malleableIs ductileIs brtittleConducts electricity Which sentences correctly use a colon?Jordan learned how to play many sports at summer camp: volleyball, baseball, lacrosse, and tennis.Kims extensive morning ritual of doing her hair was one she never forgot: it was her most important therapy.Yesterday at the mall, Clarissa bought two pairs of jeans: four shirts, two pairs of shoes, and one bag.Alan planned to finish his degree in one semester: he still remembered applying to college years ago. How have the Kurds been treated throughout their history in the Middle East? encouraging democracy was a major goal of____.