1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
dangina [55]
1 year ago
14

Please explain on how to get the solution for each variable please

Mathematics
1 answer:
Margaret [11]1 year ago
5 0

By algebraic handling we find that the unique solution of the system of linear equations is: (x, y, z) = (- 2, 4, 3). (Correct choice: A)

<h3>What is the nature of a system of linear equations?</h3>

If the system of equations has no solutions, then the determinant of the dependent coefficients of the system of linear equations must be zero. Let see:

D = \left|\begin{array}{ccc}1&1&1\\4&-1&-8\\-1&-1&7\end{array}\right|

This determinant can be determined by Sarrus' rule:

D = (1) · (- 1) · (7) + 4 · (- 1) · 1 + (- 1) · 1 · (- 8) - (- 1) · (- 1) · 1 + 4 · 1 · 7 - 1 · (- 1) · (- 8)

D = - 7  - 4 + 8 - 1 + 28 - 8

D = 16

The system of linear equations have at least one solution. This system has only one solution any of the three equations is not a function of the other two. By algebraic handling we find that the unique solution of the system is: (x, y, z) = (- 2, 4, 3).

To learn more on systems of linear equations: brainly.com/question/19549073

#SPJ1

You might be interested in
What is numbers line x&lt;8
drek231 [11]

Answer:

I cant draw it perfectly so please dont judje if it not helpful

Step-by-step explanation:

x<------------------------------------->infinity

So put a dot at the arrow pointing to X and then trace the line and the arrow to infinity dark.

7 0
3 years ago
What is ten times less than 700?
Ghella [55]
700/10 equals 70, so the answer is 70.
6 0
3 years ago
Read 2 more answers
Determine weather randomly picking a blue card from a bag containing all blue cards is impossible, unlikely, as likely as not, l
Anuta_ua [19.1K]

Answer:

The correct answer is certain with probability equal to 1.

Step-by-step explanation:

Probability is a mathematical framework which helps us to analyze chance of the outcome in a particular experiment. The value of probability is given by the ratio of the possible outcomes favorable to a certain experiment to the total outcomes.

We say an event is certain when the probability is 1 and the probability is zero when the event is uncertain.

Here the experiment is picking a blue card from a bag containing all blue cards.

Possible outcomes are all the cards colored blue in the bag.

Total outcomes are also all the blue cards in the bag.

∴ The value of probability is 1 as the event is certain because if we pick a card from the bag containing only blue cards, it would certainly give us a blue card.

5 0
2 years ago
A bike shop rents bikes for $4.50 per hour, plus a $7.50 insurance charge. For how many hours can Peter rent a bike if he has $3
Mandarinka [93]

Answer:

With $30, Peter can afford 5 hours

Step-by-step explanation:

Given

Insurance Charge = $7.5

Charges = $4.5 per hour

Required

Determine the number of hours $30 can afford

First, we need to determine the equation.

<em>Total Charges = Charges per hour + Insurance Charge</em>

Substitute values for Charges per hour and Insurance Charge

Total Charges = 4.5 per hour + 7.5

Let the number of hours be n;

So,

Total Charges = 4.5n + 7.5

To calculate Peter's; substitute 30 for total charges

30 = 4.5n + 7.5

Subtract 7.5 from both sides

4.5n = 30 - 7.5

4.5n = 22.5

Divide both sides by 4.5

n = \frac{22.5}{4.5}

n = 5

Hence;

<em>With $30, Peter can afford 5 hours</em>

3 0
3 years ago
Solve the system of linear equations. separate the x- and y- values with a coma. -5x+6y=33 -18x+4y=-22
Pavel [41]
I hope I can help you:)

4 0
1 year ago
Other questions:
  • If point A is located at (-7,5) on a coordinate plane and point B is located at (4,5), what is the distance between the two poin
    7·2 answers
  • Triangle A and Triangle B have the same base. The height of Triangle B ice the height of Triangle A. How many times greater in t
    10·1 answer
  • How do you find the confidence interval for a one sample z test?
    9·1 answer
  • Chrissy has 4 white towels ,2 yellow towels and 3 blue towels in a bag what is the probability that the first towel chosen at ra
    5·1 answer
  • Focus on number two ok
    13·2 answers
  • Math Help!!
    6·1 answer
  • Find the probability of the indicated event if P(E) = 0.25 and P(F) = 0.40.
    12·1 answer
  • Evaluate the function: f (x)=4x-1. Find f (5)
    14·2 answers
  • The ratio of students who wear glasses to the total class is 2:5
    12·1 answer
  • Mrs. Kelso and Mr. Bonham gave each of their students a small bag of colored tiles. The students each counted the number of purp
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!