1) 2x – 3y - z = 7
3x + 5y - 3z = -2
4x – y + 2z = 17
When this system of equations is solved, what is the value of x?

Answers

Answer 1

Answer:

x = 3

Step-by-step explanation:

2x - 3y - z = 7 (equation 1)

3x + 5y - 3z = -2 (equation 2)

4x – y + 2z = 17 (equation 3)

(1) * 3 : 6x - 9y - 3z = 21 (1)'

(1)' - (2) :  3x - 14 y = 23 (equation 4)

(1) * 2 : 4x - 6y - 2z = 14 (1)"

(1)" + (3) : 8x - 7y = 31 (equation 5)

(5)*2 : 16x - 14y = 62 (5)'

(5)' - (4) : 13x = 39

              x = 3

So thus, x = 3 in this system of equations, you can plug x back into equation 4 or 5 to find y and then plug x and y back into equations 1, 2, or 3 to find z


Related Questions

what is the equation of the line that passes through the point (0, -2) with a slope of 2

Answers

Answer:

Step-by-step explanation:

You can use a fill in the blank formula called "point-slope" formula because you were given a point and the slope. But there's an even easier way because they gave you a special point. The point (0, -2) is on the y-axis. So it actually IS the y-intercept. So just in this case, you can use the slope-intercept formula as a fill-in-the-blank formula bc you were actually given the slope (we always use m for slope) and the y-intercept.

This is y = mx + b... fill in the given slope for the m, fill in the y-intercept for the b, then you're done!

y = 2x -2

A triangle has vertices at (1, 1), (1, 4), and (−3, 4).
What are the coordinates of the circumcenter?

Answers

Answer:

(-1, 2.5) is correct

Step-by-step explanation:

Given

Let A(1, 1)

Let B(1, 4)

Let C(-3, 4)

Let coordinates of the circumcenter is (x, y)

Using distance formula  put the y value in this equation

So the coordinates of the circumcenter is (1, 2.5)

Step-by-step explanation:

Sorry it's so long.

Part of a bridge spans a river 35 metres wide. One third of the length of the bridge is on one side of the river and 20% of the length of the bridge is on the other side.

Answers

Answer:

[tex]35 \times 20 \div 100 = 7 \\ 35 - 7 = 28[/tex]

How do I solve for X

Answers

Answer:

ask crohme it knows the answer

On Saturday Keisha ran 3.218 kilometers. on Su nday she ran 2.87 kilometers. How much further did she run on Saturday than on Sunday

Answers

Answer:

0.808 you find the difference between the two numbers

K2. Calculate the total surface area of cuboids with the following dimensions (d) Radius = 3 m, breadth = 1.5 m, height = 2 cm​

Answers

Answer:

2(3×2)+2(3×1.5)+2(1.5×3)

Step-by-step explanation:

12+9+9

30

Answer:

30cm square

Step-by-step explanation:

2(3×2)+2(3×1.5)+2(1.5×3)

2[3×2+3×1.5+1.5×3]

2(6+4.5+4.5)

2×15

30

Paula caught a tarpon with a weight that was 10 times as great as the weight of a permit fish she caught. The total weight of the two fish was 154 pounds.

How much did each fish weigh?

The permit fish weighed _____ pounds.

The tarpon weighed ______ pounds.

Answers

Answer:

The weight of permit fish 140 pounds

The weight of Tarpon fish 14 pounds

Step-by-step explanation:

Let the weight of Tarpon fish ve 'x' Then by question weight of permit fish be '10x'

Now by question

x+10x=154 pounds

or,11x=154 pound

or,x=154pound/11

Therefore, x = 14 pounds

Again by question weight of permit fish

for 10x

by substituting value of x we have,

=10×14 pounds

=140 pounds

Roxanne has 142 songs on her MP3 player Tessa has 11 times as many songs as Roxanne so how many songs does Tessa have?

Hurry I need this :(

Answers

Answer:

142×11=1152

Step-by-step explanation:

hope it helps you:)

Mrs. Jenson's science quiz has 4 questions. Each question has answer choices "A," "B," "C," and "D." How many combinations of 4 answers are possible for the 4-question science quiz? Possible answers 16 , 24, 64, and 256.​

Answers

Answer:

14

Step-by-step explanation:

For every question, there should be 1 answer.

There are 4 answers for the 4 questions

4 times 4 = 16

(10²)²

(EXPONENT FORM ONLY)

(i think it's 10⁴ but im not sure)

Answers

Answer: 10^4

Step-by-step explanation:

You can multiply the exponents to get 10^4.

If one lap takes me 11 minutes and 10 seconds how long will it take me to do 10 laps

Answers

Answer:

111 minutes and 40 sec

Step-by-step explanation:

11x10=110 minutes

10 sec x 10 = 100 seconds = 1 minute 40 sec

110 minutes+1 minute+40 seconds= 111 minutes and 40 seconds

Find the unknown side (w) of the rectangular solid. Please help..

Answers

Answer:

Step-by-step explanation:

MAy yoy make it bigger

y³ written in expanded form is

Answers

y x y x y

hope this helps

Jane wrote all natural numbers from 5 to 12. including 5 and 12.

how many numbers did Jane write?

Answers

8 numbers including 5 & 12 :)

Write a quadratic function f whose zeros are 5 and -2

Answers

Answer:

y = (x-5)(x+2)

Step-by-step explanation:

the zeros are the solution to 'x' of each factor:

x-5=0;   x=5

x+2=0;   x = -2

For which value of x does each expression make sense

Answers

[tex]\text{If you want the domain of this function then it is}~x\leq 0 ~ \text{or} ~ (-\infty ,0][/tex]

Help me with this fractions work

Answers

Step-by-step explanation:

a. 5 2/5 can be converted to 27/5

Multiply the numerators and denominators of 7/9 and 27/5

You will get: 189/45

This can be simplified to 21/5

b. 1 3/4 can be converted to 7/4 and 4 1/6 can be converted to 25/6

Using the same process as before, you get: 175/24

what is 3 1/3, 3.337,33/10,3.11 from least to greatest

Answers

Answer:

1/3 < 3 < 33/10 < 3.337 < 3.11

Step-by-step explanation:

Solve three fourths times two thirds(PLEASE i'M FAILING MATH!!!!!!!!!!!!!!!!!!)

Answers

Answer:

6/12 or 1/2 If you simply

Step-by-step explanation:

multiply straight across

Answer:

1/2

[tex] \frac{3}{4} \times \frac{2}{3} = \\ \frac{3 \times 2}{4 \times 3} = \frac{6}{12} or \: \frac{1}{2} [/tex]

will mark brainly

Which statements describe the end behavior of f(x)?
Select two answers.


As x approaches ∞, y approaches −∞.As x approaches ∞, y approaches −∞.

As x approaches −2.5, y approaches ∞.As x approaches negative 2 point 5 textsf comma y approaches ∞.

As x approaches −∞, y approaches −2.5.As x approaches −∞, y approaches

As x approaches −2.5, y approaches −∞.As x approaches negative 2 point 5 textsf comma y approaches −∞.

As x approaches ∞, y approaches ∞.As x approaches ∞, y approaches ∞.

As x approaches ∞, y approaches −2.5.

Answers

To answer this, we must look at the general direction of the x and y.

As x approaches infinity, we see that y also approaches infinity. This means that the 5th option with the two sentences stating this is correct.

Hope this helps x

please help!

53°
44°
46°

Answers

Your answer is 217

Explanation: A whole circle is 360 so add 53 44 and 46 together and that’s 143 and then do 143-360= 217 and that’s your answer

There are fewer than 30 students in the A-level mathematics class. One half of them
play the piano, one quarter play hockey and one seventh are in the school play.
How many of the students play hockey?

Answers

The number of students that play hockey is 7

The proportion is given as:

[tex]Piano =\frac 12[/tex]

[tex]Hockey =\frac 14[/tex]

[tex]School\ Play =\frac 17[/tex]

The total number of students must be a multiple of 2, 4 and 7 less than 30;

The only multiple of 2, 4 and 7 less than 30 is 28.

The number of students that play hockey is the product of 28 and the proportion that plays hockey.

So, we have:

[tex]Hockey =\frac 14 \times 28\\[/tex]

Multiply

[tex]Hockey =7[/tex]

Hence, 7 students play hockey

Read more about common multiples at:

https://brainly.com/question/290451

1. x^2 + 6x + 8 = 0

2. x^2 + 10x + 21 + 0

3. X^2 + 9x + 18 = 0

Answers

Answer:

545256

Step-by-step explanation:

There are 20 marbles in a bag. 1/5 are red and others are blue. What is the ratio of red to blue marbles

Answers

Answer:

4:16 or 1:4

Step-by-step explanation:

1/5 of 20 = 4

there are 4 red marbles

there are 16 blue marbles

4:16 or 1:4

Answer:

1/5 to 4/5

Step-by-step explanation:

I took this quiz befrore and got a 100

Use the graph to describe what transformation has taken place. List your answer below.

please help!

Answers

Answer:

reflection over the y axis

Step-by-step explanation:


In AABC, mzA = 39°,
mzB = (3x+7)°, and
mzC = (5x-2)°. Find x. PLEASE HELP

Answers

Answer:

The sum of measures of angles in a triangle is 180. So if you take the three angles, add them, and set it to 180, you will get the answer. (39 + 3x + 7 + 5x - 2 = 180)

Step-by-step explanation:

Answer:

[tex]x = 17[/tex]

Step-by-step explanation:

[tex]m < a + m < b + m < c = 180 \\ \\ 39 + (3x + 7) + (5x - 2) = 180 \\ 39 + 8x + 5 = 180 \\ 44 + 8x = 180 \\ 8x = 180 - 44 \\ 8x = 136 \\ x = \frac{136}{8} \\ \\ x = 17[/tex]

Rewrite using a single positive exponent.
(5-3)*

Answers

To write this expression as a positive exponent we use this rule of exponents: xa=1x−a. 5−3=15−−3=153. Use this rule for exponents: xa=1x−a. 5−3=15−−3=153=1125.

Step-by-step explanation:

Are you sure that's the complete question? If yes, there's no valid answer to this question as it's not complete. (Please do comment the full question below  if you have it)

But assuming it's 5^-3 , we can apply the reciprocal law of indices which becomes:

[tex]\frac{1}{5^3}[/tex]

This is our final answer.

The reciprocal indices law states that:

[tex]x^{-n} = \frac{1}{x^n}[/tex]

Hope this helps!

i need help with this i dont know how to do it...

Answers

∠C & 40° are vertically opposite angles. Vertically opp. angles have equal measures. So,

[tex]\mathfrak{Angle \: of \: C = \boxed{40^{\circ}}}[/tex]

[tex]\mathbb{MIREU} [/tex]

2. What is the equation of a line that has a slope of 3 and passes through the point(-1,4)?
y + 4 = 3(x - 1)
y - 1 = 3(x + 4)
y + 1 = 3(x – 4)
y – 4 = 3(x + 1)

Answers

Answer:

last one

Step-by-step explanation:

point slope form:

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

just plug in the numbers and you will get the answer:

[tex](y - 4) = 3(x + 1)[/tex]

A red die is tossed and then a
green die
is tossed. What is the probability that
the red die shows an even number and
the green die shows an even number?
Make sure your answer is reduced.

Answers

Answer: 1/4

Step-by-step explanation:

There are three even numbers and three odd numbers on a 6 sided dice

The probability of rolling an even number on the red die is: p(red with even) = 3 / 6, or 1 / 2, since there are six numbers on a die.

The probability of rolling an even number on the green die is the same as the probability of rolling an even number on the red die, or 3 / 6, or 1 / 2.

Since rolling the red die and rolling the green die are independent events, to find the probability of both occurring, you need to multiply the individual probabilities.

P(of both red and green even) = 1/2 * 1/2, or 1/4.

Answer:

3/4

Step-by-step explanation:

This is what I got for Acellus

Other Questions
A swimming pool already containsa small amount of water when you start filling it at aconstant rate. The pool contains 45 gallons of water after5 minutes and 120 gallons after 30 minutes. Find theaverage rate of change and use it to write a linear modelthat relates the amount of water in the pool to the time. I SWEAR IF I GET ANOTHER LINK I WILL SCREAM Parth created a Box-and-Whisker Plot to show the average weight of the fish he caught over the weekend. What information from the 1st Quartile does the graph give you? A. Three fourths of the fish he caught were larger than 22 pounds. B. The average weight of the fish he caught was 40 pounds. C. Three fourths of the fish he caught were less than 22 pounds. D. The largest fish he caught was 63 pounds. The transportation revolution was a period of rebellion against foreign countries use of american shipping lanes. Economic depression brought on by inferior modes of travel. Public disapproval of traditional modes of transit. Rapid growth in the speed and convenience of travel. A basketball player made 80 out of 100 attempted free throws what percent of free throws was made ? "Mankind must put an end to war, or war will out an end to mankind."-John F. KennedyWhat situation during the Cold War makes the above quote true? 11. Which of the following parenthetical citations uses punctuation correctly?O A. Mr. Wednesday is described as having "a craggy, square face with pale grey eyes" (Gaiman 23).O B. Mr. Wednesday is described as having "a craggy, square face with pale grey eyes (Gaiman 23)."O C. Mr. Wednesday is described as having "a craggy, square face with pale grey eyes," (Gaiman 23).O D. Mr. Wednesday is described as bbying "a craggy, square face with pale grey eyes" (Gaiman 23) Help help math math math Which choice is equivalent to the product below?14.6O A. 125B. 6-28C. 2-21D. 28 Which term is defined as having more and more people living in and around cities than before?human rightsurbanizationmigrationurban planning Pls help with at least one and explain how u solved it so I can do the rest myself Something is more useful when it is broken what is it ? Read the following Case study and respond accordingly. Remember- The lesson discussed was Humanistic Approach, Reality Therapy and Imposed Discipline. Rima is a nine years old student who has a very strong personality and always tries to force her friends to talk, play and interrupt while the teacher is giving her/his lesson. She disturbs others all the time by acting freely in class. What might best work in fixing Rimas challenging behavior? Explain your answer with reference to the lectures we completed. which two organelles in eukaryotic cells originated from prokaryotes? What feelings and moods do horizontal, vertical, and diagonal lines usually suggest? Can you please help me with number 15 regular patterns of smooth, rounded waves are called Which statement best summarizes the central idea of this passage? in america, great things can be achieved if one plans in advance and works hard. Political struggles are not the only things that create a latino or latina identity. There are many different aspects to a latino identity, including the importance of family. Identity comes from many aspects, including political struggles that inspire how one lives life. Heart, 5 stars, and Brainiest to first right answer!Which climate condition is typically found in the tropics due to the interaction of the atmosphere and hydrosphere?A.Dry with low humidityB.Dry with high humidityC.Wet with high humidityD.Stormy with low humidity what is 9/blank= 4? i really don't know David invests $10,000 in a savings account that pays 3.5% simple interest. If Davidmakes no withdrawals or deposits to the account, how much will be in theaccount after 7 years.