Solve a One-Step Matrix Equation
Solve the matrix equation:
[X1
X2]
+
[-2
5]
=
[8
15]
X1 =?
X2 =?

Solve A One-Step Matrix EquationSolve The Matrix Equation:[X1X2]+[-25]=[815]X1 =?X2 =?

Answers

Answer 1

Answer: 10 , 10

Step-by-step explanation:

Answer 2

By solving one-step matrix equation, we get [tex]x_{1} =10[/tex], [tex]x_{2}=10[/tex].

What is one-step matrix equation?

A matrix equation is an equation of the form Ax = b , where A is an m × n matrix, b is a vector in R m , and x is a vector whose coefficients x 1 , x 2 ,..., x n are unknown.

A one-step equation is an algebraic equation you can solve in only one step. You've solved the equation when you get the variable by itself, with no numbers in front of it, on one side of the equal sign.

Given one-step matrix equation

[tex]\left[\begin{array}{c}x_{1} &x_{2} \end{array}\right]+\left[\begin{array}{c}-2 &5 \end{array}\right] =\left[\begin{array}{c}8 &15 \end{array}\right][/tex]

By adding the matrix the respective equations are:

[tex]x_{1} +(-2)=8[/tex].....(1)

[tex]x_{2} +(5)=15[/tex].....(2)

By solving [tex]x_{1} +(-2)=8[/tex]

⇒ [tex]x_{1} -2=8[/tex]

Add 2 on the both sides of the equation

⇒ [tex]x_{1}-2+2 =8+2[/tex]

⇒ [tex]x_{1} =8+2[/tex]

⇒ [tex]x_{1} =10[/tex]

Solving equation 2

[tex]x_{2} +(5)=15[/tex]

⇒ [tex]x_{2} +5=15[/tex]

Subtract 5 on both sides of the equation

⇒ [tex]x_{2} +5-5=15-5[/tex]

⇒ [tex]x_{2}=10[/tex]

By solving one-step matrix equation, we get [tex]x_{1} =10[/tex], [tex]x_{2}=10[/tex].

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Related Questions

Can some one help please!!!!!!!

Answers

Answer:

yes it's easy

Step-by-step explanation:

y=-2x

it may help you to understand.

How many solutions are there to the equation below? 17 x - 8 = 3x + 16
maqth ​

Answers

Answer:

There is one solution and that answer is mixed number form  1 5/7 or exact form 12/7

Step-by-step explanation:

HELP PLEASEEEEEEEEEEEEEEEEEEEEEE ITS A GRADE

Answers

Answer:

as x increases, y increses

the parabola grows wider and taller, meaning that the y and x values will both increase:)

Answer:

B for the first graph (as x increases, y increases), D for the second graph (as x increases, y decreases), D for the third graph (minimum at y = -9), and A for the forth graph (the graph opens up because the a value in the equation is positive)

A landscaper plants 18 bushes in a 36-foot section of land along the side of a house. How many bushes does the landscaper plant in a 10-foot section of land?

A.5
B.8
C.9
D.12

Answers

Answer:

Step-by-step explanation:

18 x 2 is 36 so to find out how many you could plant in a ten-foot area divide ten by 2 to get five.

PLS HELPPPPP!!!!!!!!!!!!!!!!!!
what is 2/5 times 11 in simplest form?

Answers

Answer:

4.4 would you let me know if you need an explanation and pls don't delete.

Hmmmm i think its 5/22

Step-by-step explanation:

So basically how i got it was 2/5*11

And that got me 5/22

I do not think you could simplify this

Either I'm very smooth brain or you can't simplify 5/22

Offering Brainliest, a 5 star review, and a like on your answer, Please help.

Answers

Answer:

I'm pretty sure it's 1,1.

Step-by-step explanation:

Answer:

(1,1)

Step-by-step explanation:

sub to pewdiepie

Assuming all model requirements for conducting the appropriate procedure have been​ satisfied, is the mean IQ of the students in the​ professor's statistics class higher than that of the general​ population, 100? Explain what statistical procedure should be used for this research objective.

Answers

Answer:

Step-by-step explanation:

The right statistical procedure is by applying a hypothesis test that uses a single mean. Here, if we are to talk about comparison, it should be between the mean IQ of the students in the class and the national average IQ. The class is not for a comparison between two population means because it is viewed as the sample of the population. That is to say, the required task is to determine if the sample mean is greater than the population mean. We can conclude that this obeys a hypothesis test rather than a confidence interval.

During the summer, 1.3% of the water in the kiddie pool evaporates every day. If the kiddie pool holds 8,000 gallons of water and is not
refilled for 10 days, how many gallons of water will be in the pool? Round your answer to the nearest gallon enter the amount

Answers

Answer:

7019 gallons

Step-by-step explanation:

Initial volume of water = 8000 galDaily reduction = 1.3% Time = 10 days

Required equation:

8000*(1- 0.013)^10 =8000*0.987^10 =7018.7781 ≈ 7019 rounded to the nearest gallon

find the values of a,b, or c for y = x^2 - 9x +18 please help!!

Answers

Answer:

It's X^1 = 3, x^2 =6  

Step-by-step explanation:

the picture is below

Answers

Answer:

C

Step-by-step explanation:

What is the value of the expression when a = 5, b = 4 , and c = 6?⁢

4a/2b−c


2

5

9

10

Answers

Answer:

10...............................

Find the sales tax.
Sales Tax
Selling Price Rate of Sales Tax Sales Tax
$60.00
3%
?
The sales tax is $.

Answers

Answer:

57.00

Step-by-step explanation:

welcome

Answer:

1.80

Step-by-step explanation:

60 x .03=1.80

HELP I WILL RATE !!!!!!!

Answers

No picture, nothing to rate here.

The two figures shown are congruent. Which statement is true?

Answers

Answer:reflection image of the other

Source:trust me bro

The last choice because it’s like you drawing it on a peace of paper and then folding the paper in half and then rubbing it on the other said of the paper

Using the graphing function on your calculator, find the solution to the system
of equations shown below.
2y- 4x= 6
y- 2x=7
A. No solution
B. More than 1 solution
C. x= 4, y=-2
D. X= -1, y= 1

Answers

48 hdjehddhbeebjehrebbrrbrbfbfbfbfbfnfbf

The total source voltage in the circuit is 6-3i V. What is the voltage at the middle source

Answers

Answer:

The voltage at the middle source is [tex](2-4\mathbf{i})\ V[/tex]

Step-by-step explanation:

Voltage Sources in Series

When two or more voltage sources are connected in series, the total voltage is the sum of the individual voltages of each source.

The figure shown has three voltage sources of values:

[tex]2 + 6\mathbf{i}[/tex]

[tex]a + b\mathbf{i}[/tex]

[tex]2 - 5\mathbf{i}[/tex]

The sum of these voltages is:

[tex]V_t=4+a+(6+b-5)\mathbf{i}[/tex]

Operating:

[tex]V_t=4+a+(1+b)\mathbf{i}[/tex]

We know the total voltage is [tex]6-3\mathbf{i}[/tex], thus:

[tex]4+a+(1+b)\mathbf{i}=6-3\mathbf{i}[/tex]

Equating the real parts and the imaginary parts independently:

4+a=6

1+b=-3

Solving each equation:

a = 2

b = -4

The voltage at the middle source is [tex](2-4\mathbf{i})\ V[/tex]

The voltage at the middle source is;

E2 = (2 + 4i) V

From the image, we see the voltage at each point as;

E1 = (2 + 6i) V

E2 = (a + bi) V

E3 = (2 - 5i) V

The given voltages are in series and as such the total voltage will be;

E_t = E1 + E2 + E3

We are told that the total source voltage is (6 - 3i)V. Thus;

(6 - 3i) = (2 + 6i) + (a + bi) + (2 - 5i)

Rearranging gives;

(a + bi) = 6 - 3i - (2 + 6i) - (2 - 5i)

(a + bi) = 6 - 3i - 2 - 6i - 2 + 5i

(a + bi) = 2 - 4i

The middle source voltage is E2 = (a + bi) V. Thus;

E2 = 2 - 4i

Read more at;https://brainly.com/question/8151005

Distance between 3,-6 and -2,-5

Answers

3,-6 is 9

-2,-5 is three

so the answer to
Evaluate the expression for a = 3, b=12 , and c = 4.

8ab over 2bc

is 3?

Answers

Answer:

The answer is C=4. Hope it helps :)

.
A Survivorship Life Insurance Plan insures how many people under one plan?

Answers

Answer:

the whole world

Step-by-step explanation:

Suppose the x-axis of a density graph represents someone's height in inches.
If the area under the density curve from 60 inches to 70 inches is 0.55, what
is the probability of someone's height being anywhere from 60 inches to 70
inches?
O A. 65%
O B. 55%
O C. 70%
O D. 60%

Answers

Answer:

B

Step-by-step explanation:

B

Given: a∥b, m∠1 = 71º Find m∠5, m∠8

Answers

Step-by-step explanation:

m <5=71

m <8=109

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

Answer:

∠5 = 71°

∠8 = 109°

Step-by-step explanation:

∠1 = 71°

∠5 = 71°  (the same as ∠1 = 71°) its a corresponding angle

∠8 = 180 - ∠5

∠8 = 180 - 71

∠8 = 109°

plzzzzzzz help 20 points

Answers

Answer:

8.15

Step-by-step explanation:

Answer:

8.15

Step-by-step explanation:

HURRY ANSWER THIS IM BEING TIMED

Answers

Answer:

D

Step-by-step explanation:

10(4 - 7)/-(4 - 1)

40-70/-4+1

-30/-3

=10

Can someone help me so stressed

29 points
Thanks

Answers

Answer:a square

Step-by-step explanation:a square

Three apples (x) plus two
oranges (y) costs $16.
Five apples plus two
oranges costs $24. Hov
muon do each apples and
oranges cost?

Answers

Apple=4 Orange=2 hope I helped!!!

Use the figure to find the measure of the angle.Explain your reasoning.

Answers

angle2=180-152=28

angle3=28

angle4=152

angle5=152

angle6=28

angle7=28

angle8=152

The values of the marked angles: angle 2, angle 3,  angle 4,  angle 5,  angle 6,  angle 7,  angle 8 are 28°, 28°, 152°, 152°, 28°, 28°, 152°.

What is an angle?

When two lines or rays meet at a point, then the geometrical figure is formed, is called an angle.

Given, angle 1 = 152°

We know, angle 1 + angle 2 is 180°.     (supplementary angles)

Therefore, angle 2 = (180° - 152°) = 28°.

Again, angle 2 = angle 3.             (opposite angles)

Therefore, angle 3 = 28°.

Similarly, angle 1 = angle 4

Therefore, angle 4 = 152°.

Now, angle 1 = angle 5        (corresponding angle)

Therefore, angle 5 = 152°.

Now, angle 2 = angle 6        (corresponding angle)

Therefore, angle 6 = 28°.

Now, angle 3 = angle 7        (corresponding angle)

Therefore, angle 7 = 28°.

Now, angle 4 = angle 8        (corresponding angle)

Therefore, angle 8 = 152°.

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Help does anyone know this?

Answers

Answer:

(2x - 4)(2x + 7) = 4x^2 +14x - 8x -28

= 4x^2 + 6x -28

(x)(x+3) = x^2 + 3x

(4x^2 + 6x - 28) - ( x^2 + 3x ) = 3x^2 + 3x -28

9c + 1 = 10 what is the answer the algebra way?

Answers

Answer:

c=1

Step-by-step explanation:

subtract 1 with 10, outcome is 1. subtract both sides by 9 to deduct the 9. and you get 1

Answer:

c = 1

Step-by-step explanation:

The algebra way is to isolate the variable c, and solve for it. The image below shows step-by-step on how to solve it.

Hope this helps! :)

write the sentence as an inequality. then solve the inequality.
the difference of 5 and a number is at least 13

Answers

Answer:

-5a<13

Step-by-step explanation:

What is the slope of the line that passes through the points (-4,0) and (-4, -10)?
Write your answer in simplest form.

Answers

Answer:

the slope is undefined

Step-by-step explanation:

slope = y2 - y1

___________

x2 - x1

slope = (-10-0) / {-4 - (-4 ) }

slope = -10 / (-4 + 4)

slope = -10 / 0

slope = undefined

note - Any number divided by zero is undefined

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