Solve the system using Gaussian elimination. 6x−y+3z=−9 5x + 5y−5z = 20 3x−y+4z = −5 A (2,12,−3)open paren 2 comma 12 comma negative 3 close paren B (2,2,0)open paren 2 comma 2 comma 0 close paren C (−1,6,1)open paren negative 1 comma 6 comma 1 close paren D (−2,6,3)

Answers

Answer 1

Answer:

C. (-1,6,1)

Step-by-step explanation:

Given the system of equation

6x−y+3z=−9 ...... 1

5x + 5y−5z = 20 ...... 2

3x−y+4z = −5 ...... 3

Reduce the equations to two variables with 2unknown

Multiply equation 3 by 2 and add to 1.

Equation 3×2; 6x−2y+8z = −10 ...... 4

Subtract 4 from 1

-y-(-2y)+3z-8z = -9-(-10)

-y+2y-5z = -9+10

y-5z = 1 ...... 5

Also multiply eqn 2 by 3 and 3 by 5

Equation 2×3; 15x+15y-15z= 60

Equation 3×5; 15x-5y+20z = -25

Subtract

15y+5y-15z-20z = 60+25

20y-35z = 85

Divide through by 5:

4y-7z = 17 ...... 6

...................................

Solve 5 and 6

y-5z = 1 ...... 5 × 4

4y-7z = 17 ...... 6 × 1

....................................

4y-20z = 4

4y-7z = 17

Subtract

-20z+7z = 4-17

-13z = -13

z = -13/-13

z = 1

Substitute z = 1 into equation 5 to get y:

From 5: y-5z = 1

y - 5(1) = 1

y-5 = 1

y = 1+5

y = 6

Substitute y = 6 and z = 1 into equation 3 to get x;

From 3: 3x−y+4z = −5

3x-6+4(1) = -5

3x -6+4 = -5

3x-2 = -5

3x = -5+2

3x = -3

x = -3/3

x = -1

Hence x = -1, y = 6 and z = 1

The correct answer is (-1, 6, 1)


Related Questions

Helppp!!!!! URGENTTFFFFjajshshdhd

Answers

Answer:

114 cm²

Step-by-step explanation:

Mah teacher help me do this lol

Answer:

A1=4m*12m=48m^2

A2=6m*3m=18m^2

A3=A1

therefore A1+A2+A3=114m^2

A baker uses a coffee mug with a diameter of 8\text{ cm}8 cm8, start text, space, c, m, end text to cut out circular cookies from a big sheet of cookie dough.

What is the area AAA of each cookie?

Give your answer in terms of pi.

A=A=A, equals

\text{cm}^2cm

2

start text, c, m, end text, squared

Answers

Answer:

Step-by-step explanation:

Since the cookies is circular in nature, we will use the formula for calculating the area of circle to calculate the area if each cookies.

Area of each cookies = πd²/4

Given diameter d = 8cm

Area of the cookies = π(8)²/4

Area of the cookies = 64π/4

Area of the cookies = 16π cm²

Answer:

16 pi ^2

Step-by-step explanation:

um yes

What is the slope from the table?!?!

Answers

Answer:

2

Step-by-step explanation:

The answer is 2 to your number

pls help me with this

Answers

Answer:

8125, im pretty sure this is right

Step-by-step explanation:

If Juan weighs 185 pounds, Luis weighs 95 kg and Pedro weighs 75 kg, how much do they all weigh together in pounds?

Answers

Answer:

744

Step-by-step explanation:

185 lbs

95 kg= 209.44 lbs (round to 209)

75 kg= 165, 35 lbs(roudn to 165)

185+209+165 = 744

185+209+165= 559

together they all weigh 559 pounds

Help would be appreciated, thanks

Answers

Answer:

-8

Step-by-step explanation:

the pattern is times 4

AM I PLAYING 2048??????

Answer:

-8

Step-by-step explanation:

This is a geometric sequence. Each term is obtained by multiplying 4 with the previous term.

common ratio = -128 ÷ (-32) = 4

-2 *4 = -8

This is long and complex, may you please get some help?

Answers

Answer:

Step-by-step explanation:

a = -4 , b = 16 and c = -17

[tex]x =\dfrac{-b}{2a}\\\\x = \dfrac{-16}{2*(-4)}\\\\\\ =\dfrac{-16}{-8}\\\\\\\\[/tex]

x = 2

y = -4(2)² + 16*2 - 17

   = -4*4 + 32 - 17

   = -16 + 32 - 17

y = -1

Vertex (2, -1)

axis of symmetry: x = 2

Review Question: 5) f(x) = 2xsquared + 7x - 15 find f(-8)​

Answers

Answer:

f(-8) = 57

Step-by-step explanation:

When x = - 8

f(-8) = 2 x (-8)² + 7 x (-8) - 15

f(-8) = 2 x 64 - 56 - 15

f(-8) = 128 - 56 - 15

f(-8) = 128 - 71

f(-8) = 57

[tex]\sf f(x) = 2x^2 + 7x - 1[/tex]

Just substitute the value of x as (-8) .

[tex]\sf f(-8) = 2(-8)^2 + 7(-8) - 15[/tex]

[tex]\sf f(-8) = 2(64) - 7(8) - 15[/tex]

[tex]\sf f(-8) = 128 - 56 - 15[/tex]

[tex]\sf f(-8) = 128 - 71[/tex]

[tex]\sf f(-8) = 57[/tex]


A draw is being held to win a prize.
Bruce buys 17 tickets.
A total of 350 tickets are in the draw.
Find the probability that Bruce does not win the prize.

Answers

Answer:

I believe the answer is 95.15 %

Step-by-step explanation:

The slope between the points (-1,-5) and (r, -9) is 2. What is the value of r?

Answers

Answer:

r = 2

Step-by-step explanation:

slope = (y2 - y1)/(x2 - x1)

(-1, -5)

(r, -9)

-5 - (-9) / -1 - r = 2

4 / -1 - r = 2

r = -2

-1 - (-3) = 2

4 / 2 = 2

Please let me know if I've gotten anything wrong!

8) Choose the inequality that represents the statement.

He is older than 100.

Answers

The answer is the third one

The expression of the inequality that states his age is x > 100.

What is inequality?

Inequality compares two non-equal quantities on both sides of the inequality sign. Inequalities are of four types they are:- Less than, Greater than, Less than or equal to, and Greater than or equal to. Their symbols are as follows:- <, >, ≤, ≥.

Given in the statement he is older than 100 which means his age is strictly more than 100.

Assuming his age to be x years.

∴ The inequality which represents this scenario is,

x > 100.

learn more about inequalities here :

https://brainly.com/question/11612965

#SPJ2

if the volume of the cube is 125 CM find its length find its total surface area .
i need hurry
step by step
process by process
who will give correct answer i make him / her as a brainlists ​

Answers

Answer:

150cm^2

Step-by-step explanation:

Let the side of a cube = a cm

Volume of the cube = a³ = 125

Or, a³ = 5³

Or, a = 5 cm

Surface area of the cube = 6a²

Or, Surface area of the cube = 6×5×5

Or, Surface area of the cube = 150 cm²

list the factors of 60 that are even numbers ​

Answers

Answer:

The factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60. Every even number will have 2 as one of its factors. 60 is a composite number as it has more factors other than 1 and itself. Please mark brainiest.

STOP ANSWERKNG WITH LINKS. PLEASE SOMEONE ANSWER THIS QUESTION ASAP , IVE SPENT ALL MY POINTS

Martin incorrectly claims that there are only parallel line segments found in the blinds. Give an example of perpendicular line segments found in the blinds​

Answers

Answer: The stick that opens the blinds and, the string that pulls open the blinds.

Explain how you would graph the line containing a slope of -1/5 that goes through the point (1, -4).

Answers

Answer:

I would plot the point (1,–4) and then use the slope to move down 1 and right 5 to find another point on the line. Draw the line through the two points.

Step-by-step explanation:

i saw the answer

Answer:

I would plot the point (1,–4) and then use the slope to move down 1 and right 5 to find another point on the line. Draw the line through the two points.

A rectangular prism has length width w, and a height that is twice the length Which expression represents the volume of the prism
A 3lw
B 2l^ 2w
C 2l(l÷w)
D l^3w ​

Answers

Answer with step-by-step explanation:

Let's start by listing out the equation; w × l × 2l = v. If we simplify this equation, we would get w × [tex]2l^2[/tex] = v. This would mean the correct choice is B, because it shows the key equation, just written differently.

Hope this helped! (brainliest please)

Emma buys a house for £300,000. She sells the house for £315,000. Calculate the percentage profit Emma makes

Answers

She buys it for £300,000 and sell it for £315,000 -> she profits £15,000.

So, the percentage profit Emma makes is : 15,000 : 300,000 = 0.05 -> 5%.

Answer:

5%

Step-by-step explanation:

300000 = 100%

1% = 300000 ÷ 100 = 3000

She made 15000
15000 ÷ 3000 = 5%

need help with geometry problem

Answers

Answer:

d. KL LM MK

Step-by-step explanation:

side opposite to the smallest angle is the shortest side and the side opposite to the largest angle is the longest side.

57 + 64 = 121

180 - 121 = 59

angle K is 59 degrees

onlinemath4allcom

Pls help will mark as brainliest and give points

Answers

Answer:

Y=4x+2

Step-by-step explanation:

The most basic way to put this is dont count the starting Y when plotting, you can just count the Rise over Run meaning just look how much the Y moves up as the X moves 1 that will just be the first part and then just put +/- at the starting Y variable

To make a big batch of cookies for her father, Annmarie needs 1 1 4 pounds of chocolate chips, 3 4 pounds of walnuts, and 12 ounces of raisins. How many ounces of these three ingredients does she need in all?.

Answers

She will need  68 ounces in total for all three ingredients.

What will be the total ounces for all three ingredients?

It is given that

For chocolate chips, she has  =  [tex]\dfrac{11}{4}[/tex] pounds

For walnuts, she has = [tex]\dfrac{3}{4}[/tex] pounds

For raisins, she has=  12 ounces

We know that,

[tex]\rm 1 \ pound = 16 \ ounces[/tex]

[tex]\rm For \ chocolate \ chips, she\ has = \dfrac{11}{4} \times 16 }=44 \ ounces[/tex]

[tex]\rm For \ walnuts,\ she\ has = \dfrac{3}{4} \times 16 }=12\ ounces[/tex]

[tex]\rm For\ raisins, she \ has= 12\ ounces[/tex]

so the total number of ounces she has will be the sum of all

[tex]=44+12+12 =68\ ounces[/tex]

Thus she will need  68 ounces in total for all three ingredients.

To know more about unit conversion follow

https://brainly.com/question/13016491

Simplify each expression.
(6b3 + 6 - 64) - (863 - 6b4 + 2)

Answers

Answer:

6b^4+6b^3-923

Step-by-step explanation:

Answer:

6b^4 + 6b^3 - 923

Step-by-step explanation:

Simplify the equation.
A=1/2 [(x+10)+(5x-2)](x^2)=1/2[6x+8](x^2)

Answers

Answer:

3x^2+4x^2

Step-by-step explanation:

heyy. can anyone help me ! please and thank you

Answers

Answer:

576 feet

Step-by-step explanation:

I'm going directly off the graph but it looks like the y-coordinate of the vertex is 576, which would make 576 feet the maximum height. Hope that helps :)

PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS ASAP

Answers

Answer:

(-7, 8)

step-by-step explanation:

original coordinates of B: (-9, -8)

if translated two units horizontally, there will be change in x axis

new coordinates: (-9+2, -8) → (-7,-8)

if reflected over x-axis, use the formula: (x,y) → (x, -y)

new coordinates: (-7, -(-8)) → (-7, 8)

help pleaseeee thank youuu​

Answers

Hi :)

Your answer is .25

Lem.me explain

25x4 is 100

100 over 400 simplified is...

1/4

Here is an example

Jack had a Glass of milk 1/4 of the milk was left. Jack wanted to know how much more he would need to fill his cup

Jack would need .25 more to fill his glass

Hope this helps!

Brainliest!

Answer:

0.25

Step-by-step explanation:

To Turn 1/4 into decimal form:

Do..

1 ÷ 4 = 0.25

Check Answer:

0.25 x 4 = 1

Hence, 1/4 into decimal form is 0.25

~Learn with lenvy~

Which of the following describe an angle with a vertex at A?
Check all that apply.
O A. _BAC
B. CAB
OC. ZACB
OD. ABC

Answers

Answer:

CAB

BAC

Step-by-step explanation:

A P E X

Give me a full note on oxidation number.​

Answers

Answer:

oxidation number, also called oxidation state, the total number of electrons that an atom either gains or loses in order to form a chemical bond with another atom.Step-by-step explanation:

Which of the following describes a situation in which the total distance a tennis player travels is 0 meter from his starting point? (5 points)

Question 2 options:

1)

The player runs 9 meters forward and then runs 0 meters in the opposite direction.

2)

The player runs 5 meters forward and then runs 6 meters in the opposite direction.

3)

The player runs 7 meters forward and then runs 7 meters in the opposite direction.

4)

The player runs 6 meters forward and then runs 5 meters in the opposite direction.
Need to know asap thank you god bless

Answers

Answer:

1) +9

2) -6

3) 0

4) 1

Step-by-step explanation:

moving forward is a positive, moving in the opposite direction is a negative. So if you move 9 meters forward (9) and 0 in the opposite direction, and equation would look like this: 9-0

I hope this helps :)

Answer:

The answer is C.

Step-by-step explanation:

Say you’re at 0 on the number line. You go forward 7 steps and backwards 7 steps. You arrive at 0. Therefore your answer would be C.

math test due in a couple hours .

Answers

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

secret

hay nako wag na tayo mag aral

Ken sees cars on a road. He sees 120 cars pass in 3 minutes. How many cars pass per minute?

Answers

Answer:

Ken would see 40 cars pass each minute.

Step-by-step explanation:

40 x 3 = 120

Have a great rest of your day
#TheWizzer

Answer:  40 cars pass per minute.

Step-by-step explanation:

[tex]\frac{120cars}{3minutes\\}[/tex]  = [tex]\frac{?cars}{1minutes}[/tex]

        3? = 120  [cross multiply]

          ? = 40    [divided 3 from both side]

Therefore, 40 cars passes per minute.

 

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