2x1+0x2+3x3=3
4x1-3x2+7x3=5
8x1-9x2+15x3=10
solve the system using Gaussian or Gauss-Jordan elimination

Answers

Answer 1

[1] … … 2x₁ + 0x₂ + 3x₃ = 3

[2] … … 4x₁ - 3x₂ + 7x₃ = 5

[3] … … 8x₁ - 9x₂ + 15x₃ = 10

Since [1] is already free of x₂, you might as well start by eliminating x₂ from the other two equations. Add -3 times [2] to [3] :

-3 (4x₁ - 3x₂ + 7x₃) + (8x₁ - 9x₂ + 15x₃) = -3 (5) + 10

-12x₁ + 9x₂ - 21x₃ + 8x₁ - 9x₂ + 15x₃ = -15 + 10

-4x₁ - 6x₃ = -5

[4] … … 4x₁ + 6x₃ = 5

Now eliminate x₃ in [1] and [4]. Add -2 times [1] to [4] :

-2 (2x₁ + 3x₃) + (4x₁ + 6x₃) = -2 (3) + 5

-4x₁ - 6x₃ + 4x₁ + 6x₃ = -6 + 5

0 = -1

which is a contradiction. This means the system has no solution.


Related Questions

(-5) + 6= ____
please help!​

Answers

Answer:

1

Step-by-step explanation:

-5 +6=1 jsjenejsnsjwjjwwj

(-5) + 6 = "1'

Let me know if its wrong.

In the function. Y+3=(2x)^2+1 what effect does the number 2 have on the graph as compared to the graph y=x^2

A.it stretches the graph vertically by a factor of 2

B. It stretches the graph horizontally by a factor of 2

C. It shrinks the graph vertically to 1/2 the original height


D. It shrinks the graph horizontally to 1/2 the original width

Answers

Answer:

C

Step-by-step explanation:

1. If the lines are parallel, find the measures
of <5 and <6.
122°
5
6
M<5 =
m<6=

Answers

Answer:

∠ 5 = 122° , ∠ 6 = 58°

Step-by-step explanation:

∠ 5 and 122° are vertically opposite and are congruent , then

∠ 5 = 122°

∠ 5 and ∠ 6 are same- side interior angles and sum to 180°

∠ 5 + ∠ 6 = 180° , that is

122° + ∠ 6 = 180° ( subtract 122° from both sides )

∠ 6 = 58°

Multiply [-1 3/5 x (-6)] x (-3 3/4) x 10

Answers

Answer:

-360

Step-by-step explanation:

hope this helps!

Answer:

-360

Step-by-step explanation:

[-1 3/5 × (-6)] × (-3 3/4) × 10

= [-8/5×-6] × -15/4×10

= 48/5×-15/4×10

= -360

What is the vertical change from Point A to Point B?

What is the horizontal change from Point A to Point B?

What is the rate of change shown on the graph? Give
the answer as a decimal rounded to the nearest tenth, if
necessary

Answers

Answer:

The vertical change is 1

The horizontal change is =2

The rate of change  .5

Step-by-step explanation:

Point A is at (2,1)

Point B is at (4,2)

The vertical( up and down) change is (2-1) = 1

The horizontal ( left and right) change is (4-2) =2

The rate of change is vertical over horizontal (1/2) = .5

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

1. Vertical change :

[tex]2 - 1[/tex]

[tex]1[/tex]

2. Horizontal change :

[tex]4 - 2[/tex]

[tex]2[/tex]

3. Rate of change :

[tex] \dfrac{y_2 - y_1}{x_2 - x_1} [/tex]

[tex] \dfrac{2 - 1}{4 - 2} [/tex]

[tex] \dfrac{1}{2} [/tex]

[tex]0.5[/tex]

i need help with this

Answers

Answer:

A

Step-by-step explanation:

PLEASE HELP ITS MATH THANK YOUUUU

Answers

Answer:

6

Step-by-step explanation:

Hope it helps pls mark brainliest if you would

PLEASEE ANSWER THIS I BEG ILL ADD U AS BRAINLIST!

Answers

Answer:

Simplifying

2xy + -4xy = 0

Combine like terms: 2xy + -4xy = -2xy

-2xy = 0

Solving

-2xy = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Divide each side by '-2'.

xy = 0

Simplifying

xy = 0

The solution to this equation could not be determined.

Step-by-step explanation:

i only got the first 1 sry

8.9776 to nearest hundredth

Answers

Answer:

8.9770

Step-by-step explanation:

help me with this asap please

Answers

Answer:

It is linear. The constant rate of change is 3 cents per hour.

Step-by-step explanation:

15/5 = 3

24/8 = 3

36/12 = 3

72/24 = 3

HELP PLS!! The area of a triangle is 56 mm2 and the height is 12 mm. How long is the base of the triangle? Round your answer to the nearest tenth.

Answers

Answer:

670

Step-by-step explanation:

Answer:

9.3mm

Step-by-step explanation:

area of Δ = [tex]\frac{1}{2}[/tex] x base x height

  56mm² = [tex]\frac{1}{2}[/tex] x b x 12

  56mm² = b x 6

             b= [tex]\frac{56}{6}[/tex]

       base= 9.3mm

Help asapppp pleaseeeeeee

Answers

3 and 4 , 3.872
5 and 6 , 5.292
7 and 8 , 7.874
8 and 9 , 8.718
10 and 11 , 10.247

explain ratio tables

Answers

Answer:

A ratio table is a structured list of equivalent (equal value) ratios that helps us understand the relationship between the ratios and the numbers. Rates, like your heartbeat, are a special kind of ratio, where the two compared numbers have different units

Step-by-step explanation:

What is the 7th term of the sequence 64, -16, 4, -1?

Answers

Answer:

0.25

Step-by-step explanation:

the pattern is dividing by -4. so divide -1 by -4 and you get 0.25.

find the other endpoint of the line segment with the given endpoint and midpoint.
endpoint- (-6,4) and midpoint (4,8)​

Answers

Answer:

(14,12)

Step-by-step explanation:

Answer:

(14,12)

Step-by-step explanation:

(4,8)

(-6,4)

find the coordinates of the unknown endpoint

(14,12)

Mark is baking cookies for a bake sale he needs 2 1/2 Cups of flour for each batch of cookies and he needs to make 4 1/3 Batches how much flour does Smart need to make his cookies

Answers

He will need 10/3 cups of flour

Answer:

I know I'm late to answer this but its 10 [tex]\frac{5}{6}[/tex] I hope this helps :D

Step-by-step explanation:

please i dont know how to do this

Answers

I believe you would have to subtract the given angle by the supplementary and complementary angle. For example:

1) S= 90-59=31 C= 180-59=121
2) S= 90-20=79 C= 180-20=160
3) S= 90-53=37 C= 180-53=127
4) S= 90-22.6=64.7 C= 180-22.6=157.4
5) S= 90-28=62 C= 180-28=152
6) S= 90-74=16 C= 180-74=106

1/5 times 3/4 in simplest form

Answers

3/20 is the answer in simplest form

Ken has 45 books to put on shelves.
He wants to put the same number of books on each shelf.
Which of the following lists shows all of the choices for how many books to put on each shelf?

Answers

Answer:

3, 5, 9, 15

Step-by-step explanation:

Just find all the factors

Which angles are supplementary?
A. 1 and 4
B. 1 and 5
C. 3 and 5
D. 7 and 2

*I thought it was 1 and 5

Answers

Answer:

C 3 and 5

Step-by-step explanation:

these are supplimentary 180

Here this one Help asap

Answers

Answer:

Step-by-step explanation:

s x 4

d x 3.14

Jordan counts 53 ducks on a pond. Then she
counts 3 more. What patterns do you notice in
the numbers Jordan counts?
50 51 52 53 54 55 56 57 58 59 60

Answers

Answer:

Step-by-step explanation:

goes up by 1 each time

The pattern of Jordan is that, she goes up by 1 , each time.

It is given that Jordan counts 53 ducks on a pond and then she counts 3 more by following a same pattern each time.

What is the pattern that she follows ?

What will be the value if we add 1 for 4 times.

The value will be 4.

The numbers Jordan counts are

50, 51 , 52 , 53 , 54 ,  55 , 56 , 57 , 58 , 59, 60

If we check

51 - 50 = 1

52-51= 1

.

.

.

60-59 = 1

and so on.

Every time we get a difference of 1 count.

Thus , the pattern followed by Jordan is that, she goes up by 1 , each time.

To learn more about sequence click here ,

https://brainly.com/question/12246947

#SPJ2

OMG I NEED HELP BADLY RN


What are the coordinates of the point at H?

A.

(-3 , -3)


B.

(-3 , 3)


C.

(3 , 3)


D.

(3 , -3)

Answers

Answer:

it would be B, it goes x axis to y axis

Answer: Choice B.   (-3, 3)

Explanation:

Start where the x and y axis meet. This is the origin.

Move to the left 3 units. You'll be directly under point H.

Then move 3 units up to arrive at point H.

Moving to the left 3 means x = -3. Moving up 3 means y = 3.

Together we have the location (x,y) = (-3,3)

You can think of the x,y location as if it was an address on a map or longitude/latitude coordinates.

Find the equation for the line shown

Answers

Answer:

y = 1/2x

Step-by-step explanation:

Slope: 1/2

y = 1/2x

What is the solution to the following equation?
-28 +6m = 6(m - 4) - 4

Answers

Answer:

0

Step-by-step explanation:

first we work out product of set b

6(m-4) = 6m -24

then reshow

-28+6m = 6m-24-4

-28 +6m -6m = 24-4

-28 =28

= 0

0.3 divided by 6 =
Please help me show my work

Answers

Answer:

0.05

Step-by-step explanation: (this is suppose to be long Division and thats a line between 6 and 0).

       0.     0     5

   ----------------------

6  | 0. 3 0

− 0

   ----------    

 0 3  

−   0

--------------------------------

   3 0

 − 3 0

----------------------------------

     0

¿A qué velocidad debe circular un auto de carreras para
recorrer 50km en un cuarto de hora?

Answers

Answer:

creo que la respuesta es 3,333.33 mph

Step-by-stepStep-by-step explanation:

Simplify 4 – 8 × 2.
options:


A)
–10


B)
–4


C)
–12


D)
–8

Answers

Answer:

Is the answer -12 or something else?

Answer:

c) -12

Step-by-step explanation:

8 * 2 = 16

16 - 4 = 12

Please help!!!! Tell me whether it’s a equation or not pleasr

Answers

This answer is a equation, my teacher told me this

The function f whose graph is shown has f ′(x) = 0 at which of the following values of x?
A). -2
B). -3, -1, and 1

Answers

f '(x) = 0 only when the tangent line to the curve is horizontal. This happens at the local maximum of f(x) at x = -2.

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