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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

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432 tk. is divided amongst three workers A, B and C such that 8 times A's share is equal to 12 times B's share wich is equal to
Flura [38]

Answer:

A got 243 tk

Step-by-step explanation:

Supose the amount C got was "x"

12 times B's share is 6 times C's share, that would be:

B = 6x

Also, 8 times A's share is 12 times B's share, that would be:

8A = 12B

8A = 12(6x)

8A = 72x

A = 72x/8

A = 9x

Now, we can say:

A = 9x

B = 6x

C = x

We know total is 432, thus we can write and solve for x first:

A + B + C = 432

9x + 6x + x = 432

16x = 432

x = 432/16

x = 27

A got "9x", so plugging in x = 27, we know:

A got 9*27 = 243 tk

7 0
3 years ago
How to divide a given ratio into a given amount
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4 0
3 years ago
Jamie bought medicine priced at $180 she had to pay 5% sales tax and an additional 1.5% for handling fee how much money did she
alekssr [168]

Answer:

$191.70

Step-by-step explanation:

total amount spent = cost of medicine + cost of tax + cost of shipping

cost of tax = 0.05 x $180 = $9

cost of shipping 0.015 x $180 = $2.70

total cost = $180 + $9 + 2.70 = $191.70

8 0
3 years ago
Drag expressions to complete each equation.
Ainat [17]
A^-b is the same as 1/a^b.

When there is a negative power, place the number and power over 1.

a^b/a^c = a^(b-c).

c is a negative power, because it is being divided, and is underneath b, which is a positive (and so it stays in the numerator).

a^c/b^c = (a/b)^c

Inside this one, the power of c is distributed to all numbers inside the parenthesis, in this case a and b.


hope this helps
3 0
3 years ago
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In a bag of red and green tomatoes the ratio of red tomatoes to green tomatoes is 3:4. If the bag contains 120 green tomatoes, h
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It would be 90 because it’s kinda self explanatory
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3 years ago
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