Describe and correct the error made in solving the system of equations by elimination

Describe And Correct The Error Made In Solving The System Of Equations By Elimination

Answers

Answer 1
the mistake was when she multiplied the 2nd equation by 5, she forgot to also multiply that last number 10 by 5 as well.

correction :
5x + 3y - z = 15
-x + 2y + 3z = 10...multiply by 5
---------------------
5x + 3y - z = 15
-5x + 10y + 15z = 50 (result of multiplying by 5)
--------------------add
13y + 14z = 65

Answer 2

The error that was made is that the constant term in the second equation was not multiplied by 5.

How to solve these system of linear equations?

In order to determine the solution to a system of two linear equations, we would have to evaluate and eliminate each of the variables one after the other, especially by selecting a pair of linear equations at each step and then applying the elimination method and Addition Method.

Based on the information provided, we have the following system of linear equations:

5x + 3y - z = 15               .........equation 1.

-x + 2y + 3z = 10               .........equation 2.

By multiplying the second equation by 5, we have the following:

(-x + 2y + 3z = 10) × 5 = -5x + 10y + 15z = 50      .........equation 3.

By adding equation 1 and equation 3, we have the following:

5x + 3y - z = 15

-5x + 10y + 15z = 50

13y + 14z = 65

Read more on elimination method here: brainly.com/question/28405823

#SPJ2


Related Questions

Miguel score 35 fewer points in second bowling game than his first game his total score for the two games was 395 how many points did he score in each game? (plz show step by step)

Answers

so, let's say he scored "a" points in his first game. and "b" on the second.

his second game's score "b", and it was 35 fewer points, so is b=a - 35.

we also know that the total score for both games was 395, thus

[tex]\bf \begin{cases} a+\boxed{b}=395\\ a+\boxed{a-35}=395 \end{cases} \\\\\\ 2a-35=395\implies 2a=395+35\implies 2a=430\implies a=\cfrac{430}{2} \\\\\\ a=215[/tex]

how many did he score in the second game?  well, b = a - 35.

5.01×10 to the third power in standard form

Answers

The answer is 5,010.

Evaluate the following expression...

Answers

25/22 in simplest form :) pls give brainliest

-2(x-3)+5x+7=3(4-3x)+12x-9

Answers

-2(x-3)+5x+7=3(4-3x)+12x-9
-2x + 6 + 5x + 7 = 12 - 9x + 12x - 9
3x + 13 = 3x + 3
0 = -10

No solution
-2(x-3)+5x+7=3(4-3x)+12x-9                         - problem
-2x+6+5x+7=3(4x-3x)+12x-9                        - distributive property
5x-2x+6+7=3(4x-3x)+12x-9                          -  combine like terms
3x+13=3(4x-3x)+12x-9                                   - combine like terms
3x+13=12x-9x+12x-9                                     - distributive property
3x+13=3x+12x-9                                            - combine like terms
3x+13=15x-9                                                  - combine like terms
13=12x-9                                                        - subtract 3x from both sides
22=12x                                                          - add 9 to both sides
x=0.5454


A jar of natural peanut butter normally cost four dollars today it's on sale for $3.60 what is the percentage of the discount

Answers

$4 is the original price of the jar consisting of peanut butter so therefor it = 100%. It's for sale at $3.60, so we divide $4 by 100% so we get the percentage for each cent and then we times it by 3.60 to get the percentage for $3.60 which is 90%. Now we subtract 90% from 100% to get the discounted percentage for 40cents :)

If you divide the number of elements in a sample with a specific characteristic by the total number of elements in the sample, the dividend is the:

Answers

In general, this would be a ratio. However, if the ratio is the number of items with specific characteristic to the total number of elements, then this would be a probability. The dividend is the numerator, and the divisor is the denominator. For example, if there are 5 white balls out of 6 balls, the probability of getting a white ball would be 5/6. The dividend here is 5.

Suzanne can read 1 page in 3 minutes. How many pages can she read in 5 hours?

Answers

5h= ? min
1h= 60 min
5x60= 300 min

1 page read in 3 min.
300 min /3 min = 100.
In 5 h, 100 pages can be read.

find the estimate for 4.185 divided by 0.93

Answers

4.5 is the answer to your question
The answer is 4.5 or if you want it as a fraction it would be 4 and 1/2.

You are deciding between two cell phone plans. Plan A: Unlimited text, talk, and data for $50 per month. Plan B: Unlimited text and data and 100 minutes of talk for $40, plus $0.20 per minute of talk after 100 minutes. At how many minutes of talk are the plans equal?

Answers

Sent a picture of the solution to the problem (s).

Two or more expressions with an equal sign is called as Equation. If Plan A: Unlimited text, talk, and data for $50 per month. Plan B: Unlimited text and data and 100 minutes of talk for $40, plus $0.20 per minute of talk after 100 minutes. Then after 150 minutes plan A and plan B are equal.

What is Equation?

Two or more expressions with an equal sign is called as Equation.

Given that,

Plan A: Unlimited text, talk, and data for $50 per month.

Plan B: Unlimited text and data and 100 minutes of talk for $40, plus $0.20 per minute of talk after 100 minutes.

We need to equation plan A and plan B

Plan A= Plan B

50=40+0.20(m-100)

Use distributive property on Right hand side

50=40+0.20m-20

Subtract 20 from 40 on right hand side

50=20+0.20m

Subtract 20 on both sides

30=0.20m

Divide both sides by 0.20

150=m

Hence After 150 minutes of talk Plan A and Plan B are equal.

To learn more on Equation click:

https://brainly.com/question/10413253

#SPJ2

Jon bought 1 2⁄3 pounds of green peppers and 3⁄5 pound of yellow peppers. How much more did the green peppers weigh than the yellow peppers?

Answers

Jon bought 1 and 7/10 more of green peppers than yellow 

Subtract 3/5 from 1 2/3.

Re-write the problem as "subtract 3/5 from 5/3."

 5     3
--- - -----
 3      5

Note that the LCD here is (3)(5) = 15.
Multiply 5/3 by (15/15) and also multiply 3/5 by (15/15).  Your result should be 

     25          9
   -------  -  -----
      15        15

Subtracting, we get   16/15.  This is the answer.  The green peppers weighed 16/15 lb, or 1 1/15 lb, more than did the other peppers.

What is the lateral area of the pyramid?

Answers

9*12.3 = 110.7

11*11.9 = 130.90

130.90 + 110.70 = 241.6 ft^2

Answer:

Step-by-step explanation:

Alright, lets get started.

The lateral area will be the area of all 4 sides.

The two sides have base length 11 feet and height of 11.9 feet.

The area of this side is : [tex]\frac{1}{2}*base*height[/tex]

The area of this side is : [tex]\frac{1}{2}*11*11.9=65.45[/tex]

The two sides have base length 9 feet and height 12.3 feet.

The area of this side is : [tex]\frac{1}{2}*9*12.3=55.35[/tex]

All 4 sides area will be : [tex]2(65.45+55.35)[/tex]

All 4 sides area = 241.6 square feet

Hence the lateral area will be 241.6 square feet  :   Answer B

Hope it will help :)

Ms. Smith has 28 sixth graders and 35 seventh graders for math. If she wants to break the two grades into identical groups without any students left over, how many students will be in each group? Is it lcm or gcf?

Answers

IT would be the least common factor

Compare the values of the two 8s in the number 467882

Answers

One 8 is in the tens place while one is in the hundreds place or 10(80) compared to 100 (800).
Final answer:

The two 8s in the number 467882 have different values based on their positions. The first 8 is worth 80 while the second 8 is worth 8.

Explanation:

The number 467882 has two 8s. The first 8 is in the tens place and the second 8 is in the ones place. The value of the first 8 is 8 times the value of the place it is in (or 8 x 10 = 80). The value of the second 8 is 8 times the value of the place it is in (or 8 x 1 = 8).

Learn more about values of digits in numbers here:

https://brainly.com/question/31810320

#SPJ11

The campsite is square in shape and has a length of 65 metres.
What is the area of the campsite?

Answers

Thanks for asking a question!

Area of square = length*length

Applying this:

65*65
4225 square metres

Hope this helped!

The sides of a square bedroom measure 3.5 yards. If carpet costs $16 per square yard, how much will it cost to cover the floor?
A. $56
B. $98
C. $196
D. $224

Answers

You would do 3.5 * 16 = $56
Your answer is A. $56

Hope I helped :)

Answer:

ITS NOT A) $56

Step-by-step explanation:

I took the test! GOOD LUCK!

A scientist mixes water (containing no salt) with a solution that contains 40% salt. She wants to obtain 200 ounces of a mixture that is 5% salt. How many ounces of water and how many ounces of the 40% salt solution should she use?

Answers

If it's 5 percent salt, 5 percent = 0.05 and 0.05*200=10 (which is 5% of 200), therefore showing us that we need 10 ounces of salt. From a 40% solution (0.4), we need to figure out how many times 0.4 goes into 10, which is 10/0.4=25, showing us that we need 25 ounces of the salt solution. 200-25=175 ounces left for water

The scientist should use 100 ounces of water and 20 ounces of the 40% salt solution to make 200 ounces of a mixture that is 5% salt.

What is percentage?

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it.

The concepts of counting are permutation and combination, and they are used in a variety of contexts. A permutation is a list of the various configurations that can be created from the given set of items. Details are crucial in permutation because the order or sequence is crucial. The order in which the names of the three countries are written matters, whether they are written as "USA, Brazil, Australia" or "Australia, USA, Brazil" or "Brazil, Australia, USA." When combined, the names of three nations form a single unit, regardless of their chronological order

If it's 5 percent salt, 5 percent = 0.05 and 0.05*200=10 (which is 5% of 200), therefore showing us that we need 10 ounces of salt. From a 40% solution (0.4), we need to figure out how many times 0.4 goes into 10, which is 10/0.4=25, showing us that we need 25 ounces of the salt solution. 200-25=175 ounces left for water

Learn more about the percentage here:

https://brainly.com/question/24304697

#SPJ2

a runner is training for a half marathon
.

Answers

What are you asking
Final answer:

The student's question refers to various aspects of marathon running, including physiological processes, muscle fiber types, the effect of footwear on performance, and scientific measurements of marathon results.

Explanation:

The topic touches upon various aspects such as the physiological responses of marathon runners, the biomechanics of running, the influence of different shoe brands on run times, and scientific measurements of performance during a marathon.

For example, marathon runners demonstrate responsiveness and movement, two characteristics of living humans. Anatomic structures and physiological processes play a critical role in coordinating muscle action and managing internal body temperature through sweating. Additionally, the type of muscle fibers, such as slow-twitch fibers, can affect a runner's endurance, as seen in athletes with a high proportion of these fibers.

Another aspect to consider is the impact of footwear on run times. A marathon runner looking into the relationship between shoe brand and performance would examine the data collected from various runners to determine if there's any significant difference.

Round 6,482 to the nearest ten hundred

Answers

6,500 because 482 is closer to 500 than to 400

The cost of two mopeds is the same as the cost of seven bicycles. The cost of one bicycle is $152. Therefore, the cost of one moped is

Answers

1 bike = 152

 7 bikes = 152*7 = 1064

1 moped = 1064/2 = $532

The sales tax on the purchase of a futon is ​$34.1634.16. If the tax rate is 77​%, find the purchase price of the futon.

Answers

so, the tax which is 77% of the price is 34.16, so say the futon is "x" worth.

so, "x" is the 100%, and we know that 34.16 is the 77%, what's "x"?

[tex]\bf \begin{array}{ccll} amount&\%\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ x&100\\ 34.16&77 \end{array}\implies \cfrac{x}{34.16}=\cfrac{100}{77}\implies x=\cfrac{34.16\cdot 100}{77}[/tex]
Final answer:

To find the purchase price of the futon, divide the sales tax by the tax rate. The purchase price is approximately $44.48.

Explanation:

To find the purchase price of the futon, we need to divide the sales tax by the tax rate. Let's call the purchase price P. We can set up the equation as: 0.77P = 34.16. To solve for P, we divide both sides of the equation by 0.77. P = 34.16 ÷ 0.77. Using a calculator, the purchase price of the futon is approximately $44.48.

Learn more about purchase price of the futon here:

https://brainly.com/question/2923300

#SPJ12

how to solve 324.65 x 0.2

Answers

1 1
324.65
x 0.2
_______
64.930
(324.65)(0.2)=64.93
do u mean this 

Graph the image of the given triangle after the transformation with the rule (x, y)→(x−1, y+2) . Select the "Polygon" button from the tool bar to plot your triangle. You may use the "Move" button to move the triangle after it is created. PolygonMove UndoRedoReset

Answers

The transformation is merely a translation of points vertically and horizontally. The original triangle must have its original coordinates. All you have to do is subtract 1 from their x-coordinate, and add 2 units to their y-coordinates. For example, if the original coordinate is (1,2), then the translated point would now be (0,4). Once you get all the translated points, you can plot them as the new translated triangle.

Answer:

Hope this helps

Step-by-step explanation:

what is 11.4 rounded to the nearest tenth

Answers

Rounded to the nearest tenth, 11.4 becomes 11.4.

When rounding a number to the nearest tenth, you look at the digit in the hundredths place.

If it's 5 or greater, you round up; if it's less than 5, you round down. In 11.4, the digit in the tenths place is 4, which is less than 5.

Therefore, 11.4 remains unchanged when rounded to the nearest tenth, resulting in 11.4.

This means the number stays the same, as it's already accurately represented to the nearest tenth without needing any adjustments.

Find the area of a right triangle with sides 10.0 cm , 24.0 cm , and 26.0 cm . express your answer with the correct number of significant figures.

Answers

This is a right triangle because 10, 24, 26 satisfies the Pythagorean Theorem.
Therefore the 2 legs are 10 and 24.
Area = 10 x 24 /2 = 120 cm^2

Which expression represents the number of possible combinations of n items taken r at a time?

Answers

Answer:

[tex]^nC_r=\frac{n!}{r!(n-r)!}[/tex]

Step-by-step explanation:

Given :Total items = n

           Items taken at a time = r

To Find: Which expression represents the number of possible combinations of n items taken r at a time?

Solution:

We will use combination over here.

[tex]^nC_r=\frac{n!}{r!(n-r)!}[/tex]

Now Total items = n

         Items taken at a time = r

Thus expression represents the number of possible combinations of n items taken r at a time is [tex]^nC_r=\frac{n!}{r!(n-r)!}[/tex]

Koen works at the Middletown Cafe. This week he served a table a meal costing $53.69 and received a 15% tip. He received a tip of ____.

Answers

Since 15% = 0.15 (by moving the decimal 2 places to the left), we multiply 53.69 by 0.15 to get approximately $8.05 as his tip

Samah has made 20kg of chilli. There are 100g of chilli in a portion. how many portions of chilli has Samah made?

Answers

The answer is 200.

20kg of chilli is equal to 20,000g of Chilli
20,000g divided by 100g equals 200 100g servings of chilli
yup! 200 100g servings of chili 20kg =20000g 20000g ÷ 2 =200

Part A: Find a rational number that is between 9.5 and 9.7. Explain why it is rational.

Answers

9.6 because rational is any number that is a fraction or decimal

Answer:

9.6

Step-by-step explanation:

It is rational because it has terminating decimal expansiom

Of Bernie's insect collection, 15 out of 25 insects are butterflies. Which of the following is not another way of expressing 15 out of 25?
A 3/5
B 0.6
C 60%
D 5/3

Answers

B is the answer for ur question :D

Option D (5/3) is not another way of expressing 15 out of 25 because it is greater than one and not equivalent to the simplified fraction 3/5, decimal 0.6, or percentage 60% which are all representations of the original fraction.

The student's question asks which of the following expressions is not another way of expressing 15 out of 25 insects being butterflies. To find out, we need to simplify the fraction and convert it into different forms.

Let's begin by simplifying the fraction 15/25. We can divide both the numerator (15) and the denominator (25) by their greatest common divisor, which is 5:

15 ÷ 5 = 325 ÷ 5 = 5

So the fraction reduces to 3/5. Now let's see if the other options given correspond to this fraction:

3/5: This is the simplified form of 15/25.0.6: If we divide 3 by 5, we get 0.6, which means this choice represents the same value.60%: Convert the fraction 3/5 to a percentage by multiplying by 100 (3/5 x 100 = 60%) so this choice also represents the same value.5/3: This fraction is more than one (1) and is not equivalent to 3/5 or 15/25.

Therefore, Option D (5/3) is the correct answer because it is not another way of expressing 15 out of 25.

What is the quotient of 0.8449 ÷ 0.71?

Answers

The answer is 1.19 :) hope this helps 
1.19 I know he answered first

Sorry, but hope this helps!
Other Questions
I will give you the brainliesnt answer + 40 points if you do me this!Rewrite this for citizens to understand. Preamble to the U.S. Constitution"We the People of the United States, in Order to form a more perfect Union, establish Justice, insure domestic Tranquility, provide for the common defense, promote the general Welfare, and secure the Blessings of Liberty to ourselves and our Posterity, do ordain and establish this Constitution for the United States of America."states make their own laws as well as the goverments make laws Thank you... :) 74 (25 + d) + d = 44 please show your work. Solve for d The swiss psychiatrist who experimented with inkblots to diagnose psychological problems was Evidence that Earths core has a high iron content comes from the study of _____. Describe in details any four cooking practices common in your region for( pulses/ Rice/Wheat/Maize etc.) Predict the nutrients which are likely to be lost to a substantialdegree in each. Round 43.786 to the nearest hundredth The open spaces in water's crystal structure make it possible for Qu es parte de la historia y cultura de Espaa?You can select multiple answers, select all that apply.los castillos los acueductos los mariachis el encierro los indgenas tanos el arte del Greco la arquitectura de Gaud la monarqua espaola An athlete eats 0.35kg of protein per week while training. How much protein will she eat during 7 weeks of training? Which types of cells (animal, plant or bacteria) are most similar? The Harding administration was associated with scandals including which of the following? A. Corruption was found in Veterans and Prohibition bureausB. A high official was accused of mishandling assets taken from Germany after the war. C. A high official was convicted of taking money for leasing government lands. D. All of the above Counting significant digits when measurements are multiplied or divided calculator The product of 9 and a number t In which region is the wheat belt of the russian federation found? What was a negative consequence of the Industrial Revolution?A. Poor quality cropsB.Lack of needed workersC. Overcrowding of citiesD.Stock market instability In Act IV of Romeo and Juliet, why did Juliets parents think she was crying? because Romeo was banished because Tybalt was dead because she didnt want to marry Paris what is that equation written in standard form Based on the following passage, how does Douglass describe enslavers, as stated in Chapter 7 of Narrative of the Life of Frederick Douglass? "The more I read, the more I was led to abhor and detest my enslavers. I could regard them in no other light than a band of successful robbers, who had left their homes, and gone to Africa, and stolen us from our homes, and in a strange land reduced us to slavery. I loathed them as being the meanest as well as the most wicked of men." A. Wicked B. Devilish C. Evil D. Disgusting Which number sentences show how to solve the problem? Luis bought 5 bags of red balloons for the party. Ruby bought 8 bags of mixed-color balloons. Each bag contains 35 balloons. How many balloons did Luis and Ruby buy altogether? A. 8 + 35 = 43 and 5 + 35 = 40 and 43 + 40 = 83 balloons B. 5 + 8 = 13 and 13 + 35 = 48 ballons C. 5 x 35 = 175 and 8 x 35 = 280 and 175 + 280 = 455 ballons D. 5 x 8 = 40 and 40 x 35 = 1400 balloons Which one doesn't belong la biologia, la fisica, la geografia, la quimica? Steam Workshop Downloader