What is the solution to this system of equations?

What Is The Solution To This System Of Equations?

Answers

Answer 1

Answer:

The fourth option i.e. 'no solution' is correct.

Step-by-step explanation:

Given the system of equations

[tex]\begin{bmatrix}\frac{2}{3}x+y=6\\ -\frac{2}{3}x-y=2\end{bmatrix}[/tex]

Adding both equations

[tex]-\frac{2}{3}x-y=2[/tex]

[tex]+[/tex]

[tex]\underline{\frac{2}{3}x+y=6}[/tex]

[tex]0=8[/tex]

so the system of equations becomes

[tex]\begin{bmatrix}\frac{2}{3}x+y=6\\ 0=8\end{bmatrix}[/tex]

0 = 8 is FALSE!

Therefore, the system of equations has no solution.

Thus,

No Solution!

Hence, the fourth option i.e. 'no solution' is correct.


Related Questions

help plz will give brainlyest

Answers

Answer:

A. Cendric is correct because he used the inverse of subtraction and added 4.5

Step-by-step explanation:

To solve for x, all we needed to do was to make x stand alone. To do this, we have to apply addition property of equality. This means we would add 4.5 to both sides for the equation to balance. Thus, we would have z standing alone which equals 3.

Therefore, Cendric was correct because he used the inverse of subtraction of -4.5, which is 4.5 that was later added to both sides of the equation.

zearn.org
MIL
Fraction Problem Solving
Sign out
Hector read of a book in the morning, and he read some more at night. By the end of the day.
he still had of the book left to read. How much of the book did Hector read at night? -)
Solve on paper. Then check your work on Zearn.
1 book
Morning
Left
Night
4
2 / 3
?
Hector read
of the book at night.
Enter ✓

Answers

Hmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm

Which fraction is equal to 35%?
O A.
100
350
O B.
100
35
C.
3.5
100
D.
35
100

Answers

Answer: D 35/100

Step-by-step explanation: if you divide 35/100, the answer would be .35, which is the decimal form of 35%.

The answer is d I think

9-3 divided by 1/3 + 1

Answers

Answer:

1

Step-by-step explanation:

Describe how to plot the point (-1, -2)

Where do you start? How many units do you go to the left or right? How many units it’s do you go up or down?

Answers

Answer:To plot the point you would start with -1 so you would go to the left till you reach -1 then to plot -2 you would go DOWN till you reach -2 Detail:the first number is ALWAYS how many times you go left or right the second number determine if you go up or down and negatives are always left and down and positive are always right and up unless you have 1,-5 then it’s to the right down and if you have -5, 7 you go left and up :3 hope this helps

5 cards are drawn at random from a standard deck. Find the probability that all cards are face cards.

Answers

Answer:

99 / 324,870 or 3%

Step-by-step explanation:

there are 12 face cards out of a total of 52 cards

probability of 5 face cards = [tex]\frac{12}{52}[/tex] · [tex]\frac{11}{51}[/tex] · [tex]\frac{10}{50}[/tex] · [tex]\frac{9}{49}[/tex] · [tex]\frac{8}{48}[/tex]

The probability that all cards are face cards at the time when 5 cards are drawn at random from a standard deck should be [tex]99 / 324,870[/tex]

Calculation of the probability:

Since 5 cards are drawn at random from a standard deck

Also, we know that

there are 12 face cards out of a total of 52 cards

So here the probability be like

[tex]= 12/52 \times 11/51 \times 10/50 \times 9/49 \times 8/48[/tex]

= [tex]99 / 324,870[/tex]

Hence, The probability that all cards are face cards at the time when 5 cards are drawn at random from a standard deck should be [tex]99 / 324,870[/tex]

Learn more about probability here: https://brainly.com/question/21102470

10 MINUTES UNTIL I HAVE TO TURN TEST IN
HELP PLS :)

Answers

Answer:

10) Total Discount = $15 dollars; New Amount = $60 dollars.

11) Total Markup = $3,750 dollars; New Amount = $28,750 dollars.

12a) Percent Increase from $100 to $150: 50% increase.

12b) Percent Decrease from $150 to $100: 33.33% decrease.

Step-by-step explanation:

I would be more than happy to show my work, but I see that you have to submit your test soon, so I will just leave it at this for now. If you need any clarification, I am more than happy to help. Feel free to give me Brainliest if you feel this helped! Have a good day, and good luck on your test. :)

If mQOS = 46, and mPOR = 61
and mPOQ = 28, what is mROS?

Answers

Answer:

ROS = 225°

Step-by-step explanation:

The four corners of the squares add up to 360°

Hope it helps you

Angles at a point add up to [tex]360^o[/tex]. The measure of [tex]m\angle ROS[/tex] is [tex]225^o[/tex]

Given that:

[tex]m\angle QOS = 46^o[/tex]

[tex]m\angle POR = 61^o[/tex]

[tex]m\angle POQ = 28^o[/tex]

The 4 angles (i.e. QOS, POR, POQ and ROS) are all angles at a point (i.e. point O).

This means that we can apply the angle at a point theorem.

The theorem is represented as:

[tex]m\angle QOS +m\angle POR +m\angle POQ + m\angle ROS = 360^o[/tex] --- i.e. angles at a point add up to [tex]360^o[/tex]

So, we have:

[tex]46^o + 61^o + 28^o + m\angle ROS = 360^o[/tex]

[tex]135^o + m\angle ROS = 360^o[/tex]

Collect like terms

[tex]m\angle ROS = 360^o -135^o[/tex]

[tex]m\angle ROS = 225^o[/tex]

Hence, the measure of [tex]m\angle ROS[/tex] is [tex]225^o[/tex]

Learn more about angles at:

https://brainly.com/question/15767203

Please help I’ll mark you as brainliest if correct

Answers

Answer:

72 cm³ (see below)

Step-by-step explanation:

First, refer to the volume formula:

V = l · w · h

If you plug in all of your values and simplify, you'll get the volume:

l = 6 cm

w = 3 cm

h = 4 cm

V = (6) (3) (4)

V = 18 (4)

V = 72 cm³

Because this is volume, the measurements are units cubed, meaning it's cm³.

Like he said 72cm3. Hope you get it right

PLEASE HELP ME!!! Find the area of the shaded region.

Answers

36

The answer is 36 because you have one side of the shaded region telling us it’s 9cm and there are 4 shaded sides so there for 9 x 4= 36. Hope this helps!

Someone please help me with this thank you

Answers

C because c is the right one

A cell phone company offers two plans to its subscribers. At the time new subscribers sign up, they are asked to provide some demographic information. The mean yearly income for a sample of 39 subscribers to Plan A is $55,575 with a standard deviation of $8,970. For a sample of 29 subscribers to Plan B, the mean income is $59,475 with a standard deviation of $6,942.
At the .025 significance level, is it reasonable to conclude the mean income of those selecting Plan B is larger? Hint: For the calculations, assume the Plan A as the first sample.
The test statistic is ______. (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.)
The decision is _______
the null hypothesis that the mean of Plan B is larger.
The p-value is ______
(Round your answer to 2 decimal places.)

Answers

Answer:HI

Step-by-step explanation:HI

Determine the relationship between the two triangles and whether or not they can be proven to be congruent

Answers

Answer:

The two triangles are related by AAS, so the triangles are congruent.

Step-by-step explanation:

Two angles and a non-included side of one triangle are congruent to corresponding two angles and an included side in the other triangle. Therefore, we can conclude that the two triangles are related by the AAS Congruence Criterion. Hence, both triangles congruent to each other.

Need help ASAP
Will mark you brainlist

Answers

Answer:

Step-by-step explanation:

Brayden's car travels 37.1 miles per gallon.

Dylan's car travels 48.4 miles/(2 gallons) = 24.2 miles per gallon.

37.1 - 24.2 = 12.9

Dylan's car gets 12.9 miles per gallon less than Brayden's car.

Proportionally means
2 fractions (ratios) are NOT equal


2 fractions (ratios) are equal

Answers

Answer:

2 fractions are equal

Step-by-step explanation:

We say that two quantities are proportional if one is always the same multiple of the other.

Say a recipe calls for 2 cups of flour to 3 eggs. That proportion, 2 cups flour : 3 eggs, will always stay the same, no matter how many serving we make. If we make 2 servings, we'd double to 4 cups and 6 eggs, but that wouldn't change the proportion. After all,

[tex]\frac{2}{3}=\frac{4}{6}[/tex]

Pls help will give brainlest to first person who answer correct 50 points

Answers

Answer:

-25/3

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer/how I got this answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

Answer:

x = - 25/3

Step-by-step explanation:

10/3 = x/(-5/2)x = 10/3*(-5/2)x = - 25/3

Please help!! Will make brainliest

Answers

UmmmmAnswer:

Step-by-step explanation:

Tori earned $62.86 as a bonus from her job. She decided to buy as many CDs as possible since they were on sale for $8.80 each. Estimate how many CDs Tori can buy.

Answers

Answer:

approximately 7 CDs for her bonus

Answer:

Toris can buy about 7 CDs

Step-by-step explanation:

63 Divided by 9 = 7

Gabe​ Amodeo, a nuclear​ physicist, needs 90 liters of a ​50% acid solution. He currently has a 30% solution and a 60% solution. How many liters of each does he need to make the needed 90 liters of ​50% acid​ solution?

Answers

Answer:

You need two equations: one for solution amounts and one for alcohol amounts.

Step-by-step explanation:

90 = X + Y

45 = (0.6)/X + (0.3)Y

Here X = amount of 60 % solution and Y = amount of 30 percent solution. Note that percentages have been converted to decimal amounts in the second equation.

From here you have to solve two equations with two unknowns. Easiest to solve first equation for X = 90 - Y, then substitute into second equation. this get you one equation in one unknown. Solving you you will get

X = 30 liters and Y = 60 liters.

(Click the Picture for my question) and thank you!

Answers

The answer should be C

Answer:

D

Step-by-step explanation:

By definition, π is defined to be the ratio of a circle's circumference to its diameter. In other words:

[tex]\displaystyle \pi=\frac{C}{d}[/tex]

In fact, if you multiply both sides by the diameter d, you can see that:

[tex]C=\pi d[/tex]

Which is the formula for circumference you've been commonly taught.

3. Without doing any calculations, compare Expression A to Expression B.
A. (34+25)=14
B. 34+25
Which statement is true?
CA. Expression A is 2 times as great as expression B.
B.Expression B is 4 times as great as expression A. -Yes
CC.Expression A is 4 times as great as expression B.
D. The two expressions are equal to each othe
7 long roms of plants

Answers

The answer to the question is CC

Is the expression 3(x+1 1/2)-3 equivalent to 3x+ 1 1/2

Answers

Answer:

Yes

Step-by-step explanation:

3(x+5.50)-3

3x+16.50)-3

-3(3x+16.50)

Given that line AD ll to line EH, find the measure of

Answers

Answer:

x=7.5

Step-by-step explanation:

Since AD II EH, ∠CBD=∠BFH (alternate angles)

2x+60=10x

8x=60

x=7.5

Answer:

x = 7.5

each angle measures 75°

Step-by-step explanation:

the two angles are corresponding, meaning they are equal

10x = 2x + 60

8x = 60

x = 7.5

the sum of 17 and 3 times x

Answers

Answer:

20x?

Step-by-step explanation:

Answer:

it will = 17+3x. hope it helps

how many 1/2 kg packets of salt can you obtain from 18 kg of salt​

Answers

Answer:

36

Step-by-step explanation:

18 × 2 = 36

Because 1/2 is half of 1 kg so multiply by 2 it makes 1 kg

What number is 120% of 16?

Answers

Answer:19.2

Step-by-step explanation:

Which relation is a function?


{(1, −1), (−2, 2), (−1, 2), (1, −2)}

{(1, 2), (2, 3), (3, 2), (2, 1)}​

{(1, 4), (2, 3), (3, 2), (4, 1)}

{(4, 2), (3, 3), (2, 4), (3, 2)}

Answers

Answer:

c

Step-by-step explanation:

because all the x values in c are different

the answer is c because it’s the only option with all differing x values

Peyton and her children went into a restaurant and where they sell drinks for $3 each
and tacos for $4 each. Peyton has $40 to spend and must buy at least 10 drinks and
tacos altogether. If Peyton decided to buy 4 drinks, determine all possible values for
the number of tacos that she could buy. Your answer should be a comma separated
list of values. If there are no possible solutions, submit an empty answer.

Answers

Answer:

7,6

Step-by-step explanation:

So in total Peyton must buy 10 items. Since she's already buying 4 drinks. We need to find the amount of tacos the max amount of tacos she can buy are 7 tacos and the minimum is 6 because if we bought less than 6 it wouldn't have met the criteria for 10 items minimum. And if we passed 7 tacos it would go past the limit of how much money Peyton has. I hope this helped:)

4(x+4) + 2x = 52 need answer

Answers

Answer:

x=6

Step-by-step explanation:

Your gym membership costs $25 per month after an initial membership fee. You paid a total of $215 after 7 months. Find the total cost after
12 months.
Answer: Total cost after 12 months is $

Answers

Answer:

$340

Step-by-step explanation:

$215 after 7 months including initial membership fee

$25 per month

A year has 12 months, so it's 5 months more than 7 months.

You need to find the price of 5 months and add to the price of the first 7 months that already includes the initial membership fee.

$25/month * 5 months = $125

The extra 5 months cost $125.

$215 + $125 = $340

Answer: $340

Other Questions
Explain how black schools had a modified schedule Given that line AD ll to line EH, find the measure of The emergence of the German industries referred to in the passage is most directly explained by which of the following processes in the nineteenth century?The spread of new industrial technologies such as the internal combustion engine from the United StatesThe spread of new industrial technologies such as the internal combustion engine from the United StatesAThe development of new methods of production during the second industrial revolutionThe development of new methods of production during the second industrial revolutionBThe greater diversity of manufactured goods produced by industrial factoriesThe greater diversity of manufactured goods produced by industrial factoriesCThe growing importance of using coal as fuel in industrial production The nucleus of a fluorine atom has a charge of? A. +19B. 0C. +9D. +1 1 1 pointAnswer each of the following. Write your final answers in the blanks provided.A building is 50 ft. high. At a distance away from the building, an architect observes that the angle of elevation to the top of the building is28 How far is the observer from the base of the building? Round to the nearest foot. Help me please............. Which force of erosion would most likely cause large amounts of loose soil to move down the slope of a hill? Describe some things that Ye-Jun could do each day to increase the healthiness of his lifestyle. When compared to Passage 1, how does Passage 2 add to the readers understanding of Nathan Hale?By revealing previouly unread documents, Passage 2 introduces new facts about Hale.By showing his behavior while in captivity, Passage 2 shows a disagreeable side of Hale.By relying on more accurate history data, Passage 2 provides precise dates and locations.By dramatizing Hale's final moments before his execution, Passage 2 creates a deeper feeling for his character. How could a change in straight line motion due to unbalanced forces be predicted from an understanding of inertia? tRNA is the molecule that brings the appropriate _______ _______ to the mRNA using an anticodon.fill in the blank Describe the victory of the De Anza's over Cuerno Verde's at Greenhorn Mountain. (Site 1)MAKE IT SHORT PLEASE HELP ME!!! Find the area of the shaded region. GIVING ALL POINTS PLEASE ANSWER CORRECTLY A) Planets that are made of gases tend to move more slowly than the smaller, rocky planets. True or false?B) Mercury, Venus, Earth and Mars are known as inner planets because they have rocks inside them. True or false?C) The gas planets can have rings and often have many moons. True or false? zearn.orgMILFraction Problem SolvingSign outHector read of a book in the morning, and he read some more at night. By the end of the day.he still had of the book left to read. How much of the book did Hector read at night? -)Solve on paper. Then check your work on Zearn.1 bookMorningLeftNight42 / 3?Hector readof the book at night.Enter s=ut+ 1/2 atu=10 a= -2 t= 1/2 work out the value of s how many 1/2 kg packets of salt can you obtain from 18 kg of salt Which correctly describes a function of the nervous system? A. The nervous system regulates bodily functions through hormone secretion. B. The nervous system communicates and coordinates with the rest of the body. C. The nervous system transports nutrients and oxygen to every part of the body. D. The nervous system provides a protective barrier from the external environment, Using the scorecard above please answer the following question. What would the score be in the first frame if the bowler would have bowled a 6 and a 1 in the second frame?Select one:a. 10b. 17c. 20d. 27Using the scorecard above please answer the following question. What would the score be in the third frame if the bowler would have bowled a strike in the fourth frame?Select one:a. 45b. 55c. 65Using the scorecard above please answer the following question. What would the score be in the tenth frame if the bowler would have finished with a nine, spare, seven?Select one:a. 174b. 184c. 201d. 301