How Do You Solve 3 linear equations with 3 variables?

Answers

Answer 1

The standard way to solve 3 linear equations with 3 variables is to use elimination or substitution.

-Elimination: To solve the 3 equations using elimination, add or subtract equations together to eliminate one of the variables. Keep repeating this process until you are left with one equation with one variable. Solve the equation and then use the value of the variable to substitute back into the other equations to find the values of the other variables.

-Substitution: To solve the 3 equations using substitution, pick one of the equations and solve it for one of the variables. Then substitute the value of the variable into the other equations. Keep repeating this process with the other equations and variables until you have a system of equations with one variable that you can solve. Once you have the value of the variable, substitute it back into the other equations to find the value of the other variables.

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Related Questions

What is 10 by the power of 6?

Answers

Answer:1000000

Step-by-step explanation:

The area of a rectangular pool is 6365 m2.
If the length of the pool is 95 m, what is its width?

Answers

Answer:

67

6365/95 = 67

But if your counting METERS and SQUARE METERS

It would be 134

A wire that is 22 feet long connects the top of a pole to the ground. What is the height of the pole? Round to the nearest hundredth. 12.00 feet 19.60 feet 24.17 feet 38.40 feet

Answers

The question is incomplete. The complete question is :

A wire that is 22 feet long connects the top of a pole to the ground. The wire is attached to the ground at a point that is 10 feet from the base of the pole. What is the height of the pole? Round to the nearest hundredth.

12.00 feet

19.60 feet

24.17 feet

38.40 feet

Solution :

Given the length of the wire = 22 feet

Horizontal distance between the pole and the point where the wire is attached = 10 feet

Therefore, from Pythagoras theorem, we get from the figure :

[tex]$AB^2=OA^2+OB^2$[/tex]

[tex]$OA^2=AB^2-OB^2$[/tex]

[tex]$OA^2=22^2-10^2$[/tex]

[tex]$OA^2=484-100$[/tex]

[tex]$OA^2=384$[/tex]

[tex]$OA=\sqrt{384}$[/tex]

      = 19.60 (approx)

Therefore, the height of the pole to the nearest hundredth is 19.60 feet.      

Answer:

B.) 19.60

Step-by-step explanation:

edge 2021

Mr Castle shares out 42 marbles between Emily
and Asif in the ratio 5 : 1
How many marbles does each child get?
Emily gets marbles and Asif gets
marbles.
[4]

Answers

Answer:

Emily gets 35 marbles and Asif gets 7 marbles.

Step-by-step explanation:

let 5x and x be marbles Emily and Asif get.

5x + x = 42

or, 6x = 42

or, x= 7

5x = 5×7=35

x =7

Answer:

hi

Step-by-step explanation:

EU Migration Study

Discussion Question: In the EU migration study, 257 of the 583 immigrants

sampled were male. Let's assume the Trump/Farage claim is true: 60% of all

immigrants are male (p = 0. 60). What is the probability of obtaining 257 or fewer

males in a sample of 583 immigrants? Does this probability make you doubt the

Trump/Farage claim? Why or why not?

P

Normal(up= 0. 6, Op=. 020)

ộ ô

Ô P

ppp

PPPP

ppppppp

Skew The

Scrint

Answers

This probability does not support the Trump/Farage claim that 60% of all immigrants are male.

What is the probability?

Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes, and how likely they are.

The probability of obtaining 257 or fewer males in a sample of 583 immigrants can be found using the binomial probability formula, which calculates the probability of a specific number of successes (male immigrants) in a fixed number of trials (sample size) with a fixed probability of success (p = 0.60).

Using the binomial formula, the probability of obtaining 257 or fewer males in a sample of 583 immigrants can be found by summing the probabilities of obtaining 257 males, 256 males, 255 males, etc. up to 0 males.

Using a binomial calculator, we can find that the probability of obtaining 257 or fewer males in a sample of 583 immigrants is about 0.04.

This probability is quite low, which suggests that it is unlikely to obtain 257 or fewer males in a sample of 583 immigrants if the proportion of male immigrants is actually 60%.

Therefore, this probability does not support the Trump/Farage claim that 60% of all immigrants are male.

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What is the product of 2p 7 3p2 4p 3?

Answers

The product of 2p 7 3p2 4p 3 is 756p7.

What is product in math?

Product in math is the result of multiplying two or more numbers, variables, or algebraic expressions together. It is often denoted by the symbol 'x' or by juxtaposition, such as writing "ab" instead of "a x b". The product of two numbers is the same as the result of the first number multiplied by the second. Product is a fundamental concept in mathematics and is used in many different types of equations and calculations.

This can be calculated by multiplying the terms together.

First, multiply the terms in each parenthesis.

2p 7 is 14p, 3p2 is 9p2, and 4p 3 is 12p3.

Then, multiply the three terms together, 14p x 9p2 x 12p3, which equals 756p7.

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Additive Relationships

What is the value of y when x=100y=?

Answers

The value of y in the equation is y = x / 100.

How to make a variable the subject of the formula?

Subject of the formula is a variable which is expressed in terms of other variables involved in the formula.

Therefore, let's make y the subject of the formula in the equation x = 100y.

Hence, we will find y in terms of x.

Therefore,

x = 100y

divide both sides of the equation by 100

100y  / 100 = x / 100

y = x / 100

Therefore,

y = x / 100

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HELP DUE IN 5 MINS!

The figure below consists of a regular pentagon and a regular hexagon. Solve for x.

x=??degrees

Answers

The answers is 17.56❤️

Answer:

x = 132

Step-by-step explanation:

720/6 = 120 (one angle of the hexagon)

540/5 = 108 (one angle of the pentagon)

120+108 = 228

360 - 228 = 132

x = 132

Kathy owns many different kinds of snow globes. She has 12 international snow globes and 18 domestic. What is the fraction that represents the international snow globes, in simplest form?

Answers

Answer:fraction that represents the international snow globes, =9//10

Step-by-step explanation:

Number of international snow globes ==12

Number of domestic snow globes ==18

total number of snow globes =12+18=20

fraction that represents the international snow globes=18/20=9//10

A rectangle has a length of 4 millimeters and an area of square 116 millimeters. What is the​ width? What is the​ perimeter?

Answers

Answer:

Width = 29mmPerimeter = 66mm

Step-by-step explanation:

The area of a rectangle can be calculated by the formula:

= Length * Width

As we have the length and the area, we can make the width the subject of the formula to solve for it:

116 = 4 * width

Width = 116/4

= 29 mm

Perimeter is:

= Length + Length + Width + Width

= 4 + 4 + 29 + 29

= 66 mm

What is g(4) when given the function g(x) = 6x + 32?

Answers

Answer:

The value of g(4) of the given function is 56.

WILL MARK BRAINLIEST !!
Please look at the attached photo.

which expression represents the image below?
5/6 x 3/2
5/6 x 3/4
1/4 x 3/4

No links please !!
please respond fast with a good answer.​

Answers

Answer:

5/6 x 3/2

Step-by-step explanation:

I think that would be correct out of all of those. I hope this helped!

(Please don't be mean if it's wrong, it's what I learned)

In a certain lottery, 5 numbers between 1 and 13 inclusive are drawn. These are the winning numbers. How many different selections are possible

Answers

1287 combinations are a way to calculate the total outcomes of an event where order of the outcomes does not matter.

How many different lottery combinations are there?

You win the jackpot if you match all six numbers. You receive a lesser fixed prize if you partially match some of the numbers.

Divide the number of winning lottery numbers by the total number of available lottery numbers to discover the probability of winning any lottery. Use the formula if the numbers are picked from a set and the order of the numbers is unimportant.

To find the winning combination we use the following formula

n !/ r!( n – r ) !

Where n = total number of to be drawn

r = the number which are drawn

In this question, n = 13, and r = 5

from the formula

13 !/5!( 13 – 5 ) !

= 13! / 5! 8!

= 13*12*11*10*9*8! / 5*4*3*2*1*8!

= 154,440 / 120

= 1287

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What is slope and intercept of the line 2x 3y 6?

Answers

The slope of linear eqution of two variables x and y, i.e., 2x+3y = 6 is -2/3 and intercept is 2 .

The slope-intercept form expression of a linear equation is y = mx + c --------->(1)

Where m --> slope of the straight line and

c --> the x - intercept .

The expression for slope is represented as :

m = (y₂ - y₁) / (x₂ - x₁) ------>(2)

where (x₁, y₁) and (x₂, y₂) are any two points lying on the straight line. Once the slope m is determined then the general equation of the straight line can be determined easily.

Now we have , the equation in the problem statement is 2x + 3y = 6. firstly , we can rewrite it in the slope-intercept form as :

3y = 6 - 2x

=> y = 6/3 - 2x/3

=> y = -2x/3 + 6/3

=> y = (-2/3)x + 2

comparing the above eqution with eqution(1) we get , m = -2/3 and c = 2. So, slope and intercept of eqution 2x + 3y = 6 are -2/3 and 2 respectively.

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SOMEONE PLZ HELP SO I CAN NOT GET A 10% again :) thanks I will let u hit my cart

Answers

Answer:

it's "c" or the third option

Mujeeb is converting £236 into $. He knows that £1 = €1.11 and €1 = $1.25. How many $ will Mujeeb get? Give your answer to 2 dp.

Answers

Answer: $327.45

Step-by-step explanation:

Since £1 = €1.11, we need to convert £236 into euros first and this will be:

£1 = €1.11

£236 = €1.11 × 236 = €261.96

Then, we will convert the euros to dollars which will be:

€1 = $1.25

€261.96 = $1.25 × 261.96 = $327.45

Therefore, Mujeeb will get $327.45.

Halle is planning a party and needs to buy chicken and
steaks. One package of chicken costs $7 and steaks cost $4
per pound. She cannot spend more than $40. She knows steak
is going to be popular so she wants to buy at least 5 lbs of
steak. Write a system of linear inequalities to model the
situation and graph the inequalities.

Answers

On solving the provided question, we can say that by the help of unitary method total 28 + 40 = $ 68

What is unitary method ?

The unit technique is an approach to problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. The unit method, to put it simply, is used to extract a single unit value from a supplied multiple. For instance, 40 pens would cost 400 rupees, or the price of one pen. The process for doing this may be standardized. a single country. anything that has an identity element. (mathematics, algebra) (Linear algebra, mathematical analysis, mathematics of matrices or operators) Its adjoint and reciprocal are equivalent.

One package of chicken costs  = $7

steaks cost  = $4 per pound.

cost of 4 chicken = 4 * 7 = $28

cost of 10 steaks = 4*10 = $40

total 28 + 40 = $ 68

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Find the roots of f(x)=x2+9x-36.

x = _____ or x = _____

Answers

Hi there!

[tex]\large\boxed{x = -12, 3}[/tex]

The roots of a function are when f(x) = 0, so:

0 = x² + 9x - 36

Find two numbers that multiply to -36 and add up to 9.

We get the numbers 12 and -3, so:

0 = (x + 12)(x - 3)

Set each equal to 0 to find the x value:

0 = x + 12

x = -12

0 = x - 3

x = 3

hep me please and thx u

Answers

Answer:

what do i dohere?

Step-by-step explanation:

where are the questions

Eighteen of Susan's muffins weigh the
same as 15 of Tom's muffins. How many
of Susan's muffins weigh the same as
7 of Tom's muffins?

Answers

Answer: 8.4. So it has to be 8 muffin and you can’t have 0.4 of a muffi realistically.

Step-by-step explanation:

A conical candle is to be made from 250 cm3 of wax. If the candle's height is three times its diameter, what radius and height should it have, to the nearest tenth?

Answers

Answer:

The radius and height of the cone are 3.41 cm and 20.46 cm respectively.

Step-by-step explanation:

Given that,

The volume of a conical candle is 250 cm³.

The height of candle is 3 times of its diameter.

h = 3d  (d = 2r, radius)

So,

h = 6r

The formula of volume of a cone is given by :

[tex]V=\dfrac{1}{3}\pi r^2h\\\\250=\dfrac{1}{3}\pi \times r^2\times 6r\\\\250=2\pi r^3\\\\r=(\dfrac{250}{2\pi })^{1/3}\\\\r=3.41\ cm[/tex]

Height, h = 6r = 6(3.41) = 20.46 cm

Hence, the radius and height of the cone are 3.41 cm and 20.46 cm respectively.

HELP!! Find the inverse of the matrix…

Answers

Answer:

the answer is b

The following data were obtained in a study taken on a horizontal milling machine: Parts produced per cycle: 8. Average measured cycle time: 8.36 minutes. Average measured stress time per cycle: 4.62 minutes. Average fast traverse time: 0.08 minutes. Average cutting time with electrical power: 3.66 minutes. Performance rating: 115%. Clearance (machine time): 10%. Slack (effort time): 15%. The operator works on the task 8 hours a day and produces 380 parts. How many standard hours does the operator work

Answers

Answer:

8.04 ≈ 8 hours

Step-by-step explanation:

Given data:

parts produced per cycle = 8

Average measured cycle time = 8.36 minutes

Average measured stress time per cycle ( observed workers time) = 4.62 minutes

e.t.c

Determine the number of standard hours the operator works

Given that the operator works for 8 hours a day and produces 380 parts

First : calculate the normal time for worker and machine ( Normal time = ( observed worker time * performance rating ) / 100

Normal time for worker =  (4.62* 115) / 100 = 5.31 mins

Normal time for machine = (observed cycle time - observed worker time ) = 8.36 - 4.62 = 3.74 mins

Next; determine the Total standard time for Machine and worker  = ( normal time * ( 1 + Allowance factor )

Standard Time For Worker = 5.313* (1 + 0.1) = 5.84 mins

while Standard Time for Machine = 3.74 *( 1 + 0.15) = 4.30 mins

Total standard time = 5.84 + 4.3 = 10.14 mins

Finally determine the standard hours the operator works

Standard hours  = (Standard Piece Time* Pieces produced) / 60

where ; Standard piece time  = Standard time / pieces per cycle = 10.14 / 8 = 1.27 mins

hence ; Standard hours  = ( 1.27 * 380 ) / 60 = 8.04 hours

Explain for brainliest (pog)

Answers

Answer:

b. exactly one solution

Step-by-step explanation:

-5(z+1)=-2z+10

(first, distribute the 5 into the parenthesis)

-5z-5=-2z+10

(next, move the variables to the left and constants to the right)

-5z+2z=10+5

(combine like terms)

-3z=15

(isolate to variable to find the solution)

z=-5

i hope this helps :)

Answer:

Here's an answer so you can give the other person brainliest :)

Step-by-step explanation:

Two parallel lines are cut by a transversal. What is the measure of angle 6?

Answers

Answer:

C.,77°{interior alternate angle}

hope it helps.

−321⋅35⋅7⋅15 what is this properties

Answers

The dots in the expression - 321⋅35⋅7⋅15 represents multiplication.

What are some alternative names for arithmetic operations?

Addition is also known as the sum, subtraction is also known as the difference, multiplication is also known as the product, and division is also known as the factor.

From higher classes, we write a dot sign in between two terms to represent that the terms are being multiplied.

Given, - 321⋅35⋅7⋅15 this represents multiplication between the numbers

- 321, 35, 7, and 15.

The result of this product is,

- 321×35×7×15

= - 1,179,675.

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Why is the sine of an acute angle less than one?

Answers

The sine of an acute angle is less than one because it is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse in a right triangle. Since the side opposite the angle is shorter than the hypotenuse, the ratio is always less than one.

To what does sin equate?

In contrast to the cosine of an angle, which corresponds to the ratio of the nearby side to the hypotenuse, the sine of an angle is the ratio of the opposite side to the hypotenuse.

It's also the same reason why the cosine of an acute angle is always less than one because it is the ratio of the adjacent side of the angle to the hypotenuse.

It's important to note that this is only true for acute angles, angles smaller than 90 degrees.

For obtuse angles, greater than 90 degrees, the sine and cosine values are greater than one.

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can someone pleasee help

Answers

Answer:

y-intercept: (0, 5)

Step-by-step explanation:

This parabola has an equation of -x² + 4x + 5.

It's y-intercept is (0, 5).

It's x-intercepts or roots are (-1, 0) and (5, 0).

It's vertex is (2, 9).

___________________________________

Keep in mind that the y-intercept is when x = 0.

Bacteria are important in the nitrogen cycle because they __________. Choose the correct answer.

Answers

Bacteria are important in the nitrogen cycle because they convert gaseous nitrogen into ammonia.

What is Nitrogen Cycle?

The nitrogen cycle is a biogeochemical process through which nitrogen is changed into a variety of forms before returning to the atmosphere after first entering the soil and then organisms.

Given:

The cycle's most crucial component is bacteria.

The nitrogen is changed between states by bacteria so it can be utilised.

Different bacteria assist nitrogen change states when it is absorbed by the soil so that it may be absorbed by plants.

Then, the plants provide the nitrogen for the animals.

Hence, Bacteria convert gaseous nitrogen into ammonia.

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A marble is selected from a bag containing eight marbles numbered 1 to 8.
The number on the marble selected will be recorded as the outcome.
Consider the following events.
Event A: The marble selected has a number less than 4.
Event B: The marble selected has an odd number.
Give the outcomes for each of the following events.
If there is more than one element in the set, separate them with commas.
A
(a) Event "A and B": {
(b) Event "A or B":
(c) The complement of the event B: {}
0,0..
X

Answers

From set theory, A and B: {4, 6} A or B: {2, 3, 4, 5, 6, 8} B's complement is 1, 2, 7, and 8.

What are the types of set theory?

Basic set theory describes these various kinds of sets as follows: Finite set: There are only a finite number of elements. A set with an infinite number of elements. A set that is empty has no elements. A singleton set consists of just one element.

The elements that appear in both A and B at the same time are referred to as A and B.

From 1 to 8, the even numbers are 2, 4, 6, and 8.

The numbers 3, 4, 5, and 6 are in that order.

Look for the components that are the same in both sets.

A and B: {4, 6}

The union of the two sets is either A or B.

Combine the components from both sets.

A or B: {2, 3, 4, 5, 6, 8}

All the components that are absent from B make up its complement.

Except for the event elements, write all of the sample space's components.

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