Mathematics College

6X + 8Y - 4Z = 5 1X + 2Y + 5Z = 9 9X - 3Y + 3Z = 6 resolverlo por metodo de Gauss jordan

Answers

Answer 1

Responder:

x = 4.48

y = 4.86

z = -1.04

Explicación paso a paso:

Dadas las ecuaciones simultáneas;

6X + 8Y - 4Z = 5 .... 1

1X + 2Y + 5Z = 9 ... 2

9X - 3Y + 3Z = 6 .... 3

Primero necesitamos reducir el sistema de ecuaciones

Ecuación 1 * 1

Ecuación 2 * 4

__________

6X + 8Y - 4Z = 5

4X + 8Y + 20Z = 36

Restar

6x-4x - 4z-20z = 5-36

2x-24z = 31 ... 4

también

ecuación 2 * 3

ecuación 3 * 2

_______________

1X + 2Y + 5Z = 9 * 3

9X - 3Y + 3Z = 6 * 2

_______________

3x + 6y + 15z = 27

18x - 6 años + 6z = 12

Agregar

3x + 18x + 15z + 6z = 27 + 12

21x + 21z = 39 ...... 5

Resolviendo 4 y 5

2x-24z = 31 ... 4 * 21

21x + 21z = 39 ...... 5 * 2

____________

42x - 504z = 651

42x + 42z = 78

Sustraer

-504x - 42z = 651-78

-546z = 573

z = -573/546

z = -1.05

Sustituye z = -1.05 en 4

De 4;

2x-21z = 31

2x - 21 (-1,05) = 31

2x + 22,04 = 31

2x = 31-22.04

2x = 8,96

x = 8,96 / 2

x = 4,48

Obtener y

De 2:

X + 2Y + 5Z = 9

4.48 + 2y + 5 (-1.04) = 9

2 años + 4,48-5,2 = 9

2y = 9 + 0,72

2 años = 9,72

y = 9,72 / 2

y = 4,86

Por tanto, la solución (x, y, z) es (4.48, 4.86, -1.04)

Related Questions

Jessica‘s mom is 30. Jessica‘s daughter is zero years old. Jessica‘s mom had Jessica at 15 years old. Jessica is 15 years old. Jessica‘s grandma is 45. Jessica‘s great grandma is 60. How old is Jessica‘s great great great great great great grandma? I know the answer it’s just so everybody can have extra points yay. Must show work. How many music part is Jessica grandma to her great great great great great great grandma?

Answers

Answer:

135

Step-by-step explanation:

jessica's family as a rule to give birth at the age of 15 clearly so you 5 lots of 15 to 60 and boom. simple

if 1 inch equals 50 miles
what does 70 inches equal into miles?

Answers

Answer:3500 miles

Step-by-step explanation:

1=50

meaning that we can do 70x50

which equals 3500

Answer:

3,500

Step-by-step explanation:

1in = 50 miles

70 in x 50 miles - 3,500, so therefore

70 in = 3,500 miles

hoped i helped you!

Jack decides to invest $300 per quarter into an annuity. How long would he have to keep investing if the annuity is paying 8% annually and he wants to accumulate $10,000?

Answers

Answer:

25.95 quarters which is about 6.5 years

Step-by-step explanation:

find the slope of the line passing through the points (1, -4) and (3, -1)
A. 5/4
B. 2/3
C. -3/2
D. 4/5
E. 3/2

Answers

E 3/2. I graphed it:).

Which fraction is equivalent to 0.8?

Answers

Answer:

4/5

Step-by-step explanation:

.8 means 80/100 (divide both top and bottom by 20)

Answer: 4/5

Step-by-step explanation:

The points with coordinates (0,0)
and (2,1) are connected by a line
segment. If this line segment is
extended into a line, which point
will also be on the line?

Answers

Do you have a picture?

Slope of line passing through (0, 0) and (2, 1) = (1-0)/(2-0) = ½

Equation of line: y = ½x

Would y^10/y^10 become 1?

Answers

Answer:

yes

Step-by-step explanation:

If you are dividing it will become 1 because 10 minus 10 equals 0. Anything to the power of 0 is 1 then you keep the base which is y so the answer is y

If you are multipling the answer will be y^10 because 10 plus 10 is 20 and you keep the base which is y

25, 27, 24, 26, 40
A. What is the mean of the data?
B. What is the median of the data?

Answers

mean is 28.4 (all numbers added together then divided by the amount of numbers)
median is 24 (the middle number)

THE ANSWERS R a. IS 28.4 b. IS 26

I need some help please help it’s 100% of my grade

Answers

3x-6+4=-20

3x-2=-20

3x=-18

x=-6

PLEASE ANSWER ASAP

Maryam writes down the following 6 numbers
11, 11, 12, 18, 19, A

Maryam works out the mean of the 6 numbers, she then increases the value of a by 60
What will this do to the mean of the 6 numbers?

Answers

It will make it increase by a lot

True or false. If 1/4 kg of beef costs $6, then 2/3 kg of the beef costs $16

Answers

that is true. first, find what 1kg of beef would cost. in order to do that, multiply 6 by 4 because 1/4*4=1. 6*4=24. then multiply 24 by 2/3. that will equal $16, so it is true.

Hlw to find ghe area of a parallelogram

Answers

Answer:

Hope this helps! :')

Step-by-step explanation:

Opposite sides are equal in length and opposite angles are equal in measure. To find the area of a parallelogram, multiply the base by the height. The formula is: A = B * H where B is the base, H is the height, and * means multiply

Find the missing length.
C =
✓ [?]
C
1
8
Pythagorean Theorem: a? + b2 = c2
Enter

Answers

Answer: [tex]\sqrt{65}[/tex]

Step-by-step explanation:

[tex]a^2+b^2=c^2\\1^2+8^2=c^2\\65=c^2\\c=\sqrt{65}[/tex]

Determine the ratio of shaded sections to striped sections. Then explain its meaning.

Answers

Answer:

Determine the ratio of shaded sections to the total number of sections. Write the ratio as a fraction in simplest form and as a decimal.

Answer:

3/8

Step-by-step explanation:

Total no. of sections= 8

No. of shaded sections= 3

Therefore, the ratio = 3/8

Surface Area of 20,70,90 Will give brainliest to correct answer

Answers

Answer:

126000

Step-by-step explanation:

20×70×90

Multiply 20 and 70 to get 1400.

1400×90

Multiply 1400 and 90 to get 126000.

126000

Answer:

126000

Step-by-step explanation:

20×70×90

Multiply 20 and 70 to get 1400.

1400×90

Multiply 1400 and 90 to get 126000.

126000

Solve the quadratic formula

X^2-5x-14=0

Answers

Answer:

Step-by-step explanation:

Sum = -5

Product = -14

Factors = 2 , (-7) because 2*(-7) = -14 and 2 + (-7) = -5

x² - 5x - 14 = 0

x² + 2x - 7x - 14 = 0

x(x + 2) -7(x + 2) = 0

(x + 2)(x - 7) =0

x + 2 = 0 ; x -7 =0

x = -2 ; x = 7

Which ordered pair is a solution of the inequality y<3x+1?

A) (-3,-2)
B) (3,14)
C) (1,-3)
D) (1,6)

Answers

Answer:

c) (1,-3)

Step-by-step explanation:

-3<3(1)+1

-3<3+1

-3<4

Can you guys help me on the question 4?! :)

Answers

Answer:

Volcanic gray

Step-by-step explanation:

I think because Volcanic Gray and Gray Fox look pretty close to the same color. Sorry if it is wrong.

D. Volcanic gray I’m pretty sure

Please help!!!! I don’t understand how to figure it out

Answers

Answer:

(sin x)^2*(sec x) is positive in QII

Step-by-step explanation:

(sin x)^2 is always 0 or positive. Here x lies in QII.

sec x is positive when the adjacent side is positive and negative when the adjacent side is negative. In QII the adjacent side is positive.

In summary, (sin x)^2*(sec x) is positive in QII

WHAT IS THE AREA OF THE FIRE PIT? USE 3.14 FOR PI.

Answers

Answer:

Step-by-step explanation:

if the question mean the white circle the ans is 3.14

if the question mean the shaded circle the ans is 129.9

if the question mean both shaded and white circle the ans is 133.04

simplify 12:24 completely.

Answers

Answer:

1:2

Step-by-step explanation:

12:24=1/2

Can you help me on question 18?!

Answers

Answer:

Store C

Step-by-step explanation:

store a is selling 10 pencils for $2.50

$2.50 divided by 10 is 25 cents

so the price for store a is 25 cents per pencil

store b is selling 50 pencils for $6.00

$6.00 divided by 50 is 12 cents

so the price for store b is 12 cents per pencil

store c is selling 100 pencils for $8.25

$8.25 divided by 100 is 8.25 cents

obviously you can't give someone .25 cents so round it down to 8

so the price for store c is 8 cents per pencil

store d is selling 250 pencils for $21.25

$21.25 divided by 250 is 8.5 cents

which rounds up to 9 cents per pencil

Store c has the lowest price for one pencil

Help me with my math**50 pts** i mark brainliest**

Answers

Answer:

3) Reflexive Property

4) SAS

Step-by-step explanation:

ST ≅ TS

1. The Reflexive Property states that: a quantity is congruent (equal) to itself.

Example: a = a In this case, it could be seen as ST ≅ ST because they have/are the same side(s).RST ≅ UTS

1. SAS theorem states that: two triangles are equal if two sides and the angle between those two sides are equal.

Example: RST ≅ UTS (both have S and T) Can be seen as RST ≅ UST as well to make their similarity more evident.

2. Because it is given that RS ≅ UT and RT ≅ US, and it includes the same 2 lines being equal as given/said, RST ≅ UTS because of SAS (theorem).

Whats a real life situation that can be described by the linear function y = 20x + 150.

Answers

Answer:

Step-by-step explanation:

When working you earn a wage of $150 and then an additional 20 for each item you sell

Factorise completely
X^2+7x-18

Answers

Look at the screenshot below

A cable TV company charges $28 for the basic service plus $8 for each movie channel. Let y be the total cost
in dollars of subscribing to cable TV, using x movie channels. Find the slope-intercept form of the equation.
Look at pic

Answers

Answer:

y= 28x+8

Step-by-step explanation:

Chloe needed to get her computer fixed. She took it to the repair store. The technician at the store worked on the computer for 3.5 hours and charged her $197 for parts. The total was $389.50. What was the cost of labor, per hour?
This is due today pls help now

Answers

389.50 minus 197 for parts will give you your answer

Answer: the answer is 55

Find the difference
(4y+3)-(y-2)
need it quick

Answers

Answer: 3y+5

Step-by-step explanation: 4y+3−(y−2)

4y+3+−1(y−2)

4y+3+−1y+(−1)(−2)

4y+3+−y+2

(4y+−y)+(3+2)

3y+5

13. Given f(x) = X – 3 and g(x) = 4x, find f(g(x)).
A. 4x - 3
B. 4x - 12
C. 5x - 3
D. 3x - 3

Answers

Step-by-step explanation:

f(g(x))

= f(4x)

= (4x) - 3. (A)

Step-by-step explanation:

option A is the correct answer according to my opinion .

plz mark my answer as brainlist if you find it useful.

Can someone help me with these two problems please?

Answers

Answer:

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

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