Part 2 Directions: Solve the matrix equation for "X" and "y" 5 - 2x 6 1 -8 + 2 -8 4. - 13 -13​

Part 2 Directions: Solve The Matrix Equation For "X" And "y" 5 - 2x 6 1 -8 + 2 -8 4. - 13 -13

Answers

Answer 1

Answer:

The value of x=9 and value of y= -7

Step-by-step explanation:

We need to solve the matrix equation for x and y

We are given:

[tex]\left[\begin{array}{cc}-2x&6\\1&-8\\\end{array}\right] +2\left[\begin{array}{cc}5&-1\\y&6\\\end{array}\right] =\left[\begin{array}{cc}-8&4\\-13&-13\\\end{array}\right][/tex]

First multiply 2 with terms inside the matrix

[tex]\left[\begin{array}{cc}-2x&6\\1&-8\\\end{array}\right] +\left[\begin{array}{cc}10&-2\\2y&12\\\end{array}\right] =\left[\begin{array}{cc}-8&4\\-13&-13\\\end{array}\right][/tex]

Now adding matrices on left side

[tex]\left[\begin{array}{cc}-2x+10&6-2\\1+2y&-8+12\\\end{array}\right] =\left[\begin{array}{cc}-8&4\\-13&-13\\\end{array}\right]\\\left[\begin{array}{cc}-2x+10&4\\1+2y&4\\\end{array}\right] =\left[\begin{array}{cc}-8&4\\-13&-13\\\end{array}\right][/tex]

Now both sides are equal , so we can say that

[tex]-2x+10=-8 \ and \ 1+2y=-13[/tex]

Solving equations and finding values of x and y

Finding value of x

[tex]-2x+10=-8 \\-2x=-8-10\\-2x=-18\\x=\frac{-18}{-2}\\x=9[/tex]

Finding value of y

[tex]1+2y=-13\\2y=-13-1\\2y=-14\\y=\frac{-14}{2}\\y=-7[/tex]

So, value of x=9 and value of y= -7


Related Questions

After taking typing lessons for three months, Johanna can type 285 words in five minutes. How many words can she type in 13 minutes?

Answers

Answer:

Hello,

-First find the unit rate, 285 divided by 5

since she can type 285 words in 5 minutes

the unit rate is 57 words per minute

-now multiply that by 13

57 times 13

741 words in 13 minutes

-Hope this helps

b. Simplify by making mathematical expression
9 is subtracted from 3 times the sum
5 and 6.​

Answers

Answer:

24

Step-by-step explanation:

3(5+6)-9

3(11)-9

33-9

24

Answer:24

Step-by-step explanation:

tis is the right answer

is y=2x-5 and y=5x -5 parallel perpendicular or neither ?

Answers

The answer is the second one

Is 2.3495 a rational or irrational number?

Answers

Answer:

rational number

Step-by-step explanation:

ok ok ok lets just hope this is the last one

Answers

Answer:

the first is 75

and the second is 4

Answer:

ok

Step-by-step explanation:

how to find
range
mode
median
mean

Answers

Answer:

- Mode-The most repetitive number! - Median:The number in the MIDDLE when they are IN ORDER! - Mean- The AVERAGE OF ALL NUMBERS: You add up all the numbers then you divide it by the TOTAL NUMBER of NUMBERS! - Range - THE BIGGEST minus the Smallest!

branliest?

Step-by-step explanation:

Answer:

RANGE = Highest number - lowest numberMODE = Total number of numberMEDIAN = {(n+1)÷2}th valueMEAN = €x/N

I neeedddd help. I am not understanding. Can someone help?/ explain this?

Answers

Answer:

F= 4 4/6

Step-by-step explanation:

Lets break it down

3 1/6 + f - 7 5/6

3 plus what equals 7 answer 4!

1/6 pls how many more sixths equals 5/6th answer 4/6 ths

so overall you combine the two answers for whole and fraction an

Jasmine sells bracelets at a local jewelry store in South Dekalb Mall. She has 1,190 purple beads and 2,125 pink beads. Each bracelet can hold 85 beads, how many bracelets can she make

Answers

Answer:

39

Step-by-step explanation:

1190 + 2125 = 3315 (number of beads)

3315/85 = 36 (number of bracelets jasmine can make)

I’m in 10th grade taking math for college readiness way behind on edge I’m paying 100 bucks on Apple Pay, PayPal ,or cash app to whoever can catch me up this week my email is kanemagdalene at g mail .com someone help please

Answers

Answer:

Uhh im sorry but this is a website for questions not donations

Step-by-step explanation:

im very sorry if that sounded rude but its kinda true ;/

3. 432 is divisible by (1 point)
O only 2.
O only 3.
O2 and 3.

Answers

Answer:

Only two and Three!

Step-by-step explanation:

423 is divisible by the prime number two!

423 divided by 2 is 216

432 is also divisible by three!!

432 divided by three is 141

The number 432 is divisible by 2 and 3 both as its unit digit is even and the sum of the digits is 9.

What is the divisibility rule?

By the divisibility rule, we can determine whether numbers are divisible by some other numbers or not without dividing.

We know a number is divisible by 2 if its unit digit is even and a number is divisible by 3 if the sum of the digits is divisible by 3.

Given number is 432 unit digits even, therefore, it is divisible by 2,

and the sum of the digits is 9 so it is also divisible by 3.

learn more about divisibility rules here :

https://brainly.com/question/10703980

#SPJ2

Use the Properties of Equality to solve each equation
A - 6 = 19

A. 25

B.13

C.-13

D. -25

Answers

a-6=19
+6 +6
a= 25

the answer is A. 25

Answer:

A-6 =19

A= 19+6

A= 25

Brian and Colin are marking exam papers. Each set takes Brian 40 minutes and Colin 1 hour. Express the times Brian and Colin take as a ratio.
Give your answer in its simplest form.

Answers

Answer:

2:3 in the simplest form

Step-by-step explanation:

40/60

2/3=2:3

Answer
2:3 in simplest form

Explanation: 40/60 in simplified form is 2:3

7 – d > 10 SHOW ALL WORK

Answers

Answer:

d < -3

Step-by-step explanation:

7 - d > 10

(-7)      (-7)

-d > 3

(dived both sides by -1, when dividing or multiplying both sides by a negative number the inequality sign changes)

d < -3

please help asap!
i will give brainliest :)

Answers

156 miles I think or 192

Part A: Is triangle PQR similar to triangle PAB? Explain using what you know about triangle similarity. (5 points) Part B: Which line segment on triangle PAB corresponds to line segment QR? Explain your answer. (3 points) Part C: Which angle on triangle PAB corresponds to angle Q? Explain your answer. (2 points)

Answers

Note: for similar triangle all the corresponding angle must be equal and the corresponding side are proportional

line AB segment on triangle PAB corresponds to line segment QR.

Part C: <Aangle on triangle PAB corresponds to angle Q

Answer: Note: for similar triangle all the corresponding angle must be equal and the corresponding side are proportional

line AB segment on triangle PAB corresponds to line segment QR.

Part C: <Aangle on triangle PAB corresponds to angle Q

Step-by-step explanation:

please helpppppppp meeeeee

Answers

In order from first pic to last:
10
2
30
70
8
99
1
11
Add 2, divide by 3
-3

Answer:

Step-by-step explanation:

1: Add 2 divide 3

2: -3

3:1

4:11

5:8

6:99

7:30

8: 70

9:10

10:2

Find the sum or difference.
(4y + 3) - (y – 2)
SHOW ALL THE WORK THAT YOU DID TO FIND THIS ANSWER for points!

Answers

Answer:

3y + 5

General Formulas and Concepts:

Pre-Algebra

Distributive Property

Algebra I

Combining Like Terms

Step-by-step explanation:

Step 1: Define expression

(4y + 3) - (y - 2)

Step 2: Simplify

Distribute negative:                    4y + 3 - y + 2Combine like terms (y):               3y + 3 + 2Combine like terms (Z):              3y + 5

Samuel's exit ticket is correct, because he multiplied both sides of the equation by seven, using the Multiplication Property of Equality to justify how he got from the first step to the second step. Selma's exit ticket is correct, because she subtracted three from both sides of the equation, using the Subtraction Property of Equality to justify how she got from the first step to the second step. Samuel's exit ticket is correct, but Selma's is incorrect, because she solved the problem in the wrong order. Selma's exit ticket is correct, but Samuel's is incorrect, because he solved the problem in the wrong order. Both students used the properties correctly to justify their correct solutions to the equation. Neither Samuel's or Selma's exit tickets are correct. Neither student used the properties correctly, even though their solutions are true.

Answers

Answer:

a, b, e

Step-by-step explanation:

i did the algebra nation.

HELP PLS 1. Al survey of 3,000 who bought a new car showed that 900 people had
mechanical issues within the first 2 year.

What is the relative frequency of the people that had mechanical issues?

Answers

Answer:

3/10 or 30%

Step-by-step explanation:

900/3000 = 9/30 = 3/10 or 30%

A group of tourists is determining the order in which to visit national landmarks in Washington, DC. The group contains 200 people. Of those people, 150 are adults, and 50 are children. A random sample of tourists in the group is chosen. Surveying the random sample produced a representative sample of the population. Which was most likely true of the representative sample?

Answers

Answer: the representative sample contained more adults than children

Step-by-step explanation:

The options are:

a. The representative sample contained all 200 tourists.

b. The representative sample contained more adults than children.

c. The representative sample contained more children than adults.

d. The representative sample contained an equal number of adults and children.

Number of adults = 150

Number of children = 50

Total = 150 + 50 = 200

Probability of choosing an adult = 150/200 = 0.75

Probability of choosing a child = 50/200 = 0.25

The above shows that the representative sample contained more adults than children. This can be seen in the explanation above as number of adults is thrice that of children.

Answer:

A group of tourists is determining the order in which to visit national landmarks in Washington, DC. The group contains 200 people. Of those people, 150 are adults, and 50 are children. A random sample of tourists in the group is chosen. Surveying the random sample produced a representative sample of the population. Which was most likely true of the representative sample?

the representative sample contained more adults than children

Step-by-step explanation:

The options are:

a. The representative sample contained all 200 tourists.

b. The representative sample contained more adults than children.

c. The representative sample contained more children than adults.

d. The representative sample contained an equal number of adults and children.

Number of adults = 150

Number of children = 50

Total = 150 + 50 = 200

Probability of choosing an adult = 150/200 = 0.75

Probability of choosing a child = 50/200 = 0.25

The above shows that the representative sample contained more adults than children. This can be seen in the explanation above as number of adults is thrice that of children.

Determine the rate of change for the following graph. Type your answer into the box.

Answers

Answer:

X

Step-by-step explanation:

3(a + 4) – 5(a – 2) = 22

Answers

[tex]\text {Hey! Let's Solve this Problem!}[/tex]

[tex]\text {\underline {The First Step is to Simplify}}[/tex]

[tex]\text {3*a=3a \rightarrow {3*4=12}}[/tex][tex]\text {3*a=3a}\\\text {3*4=12}[/tex]

[tex]\text {-5*a=-5a}\\\text {-5*-2=10}[/tex]

[tex]\text {Your New Problem Is: 3a+12+-5a+10=22}[/tex]

[tex]\text {\underline {The Next Step is to Combine Like Terms}}[/tex]

[tex]\text {3a+-5a=-2a}\\\text {12+10=22}[/tex]

[tex]\text {Your New Problem Is: -2a+22=22}[/tex]

[tex]\text {\underline {The Next Step is to Subtract 22}}[/tex]

[tex]\text {-2a+22-22=22-22}[/tex]

[tex]\text {Your New Problem Is: -2a=0}[/tex]

[tex]\text {\underline {The Final Step is to Divide 2}}[/tex]

[tex]\text {-2a/2=0/2}[/tex]

[tex]\text {Your Answer Would Be:}[/tex]

[tex]\huge\boxed {a=0}[/tex]

[tex]\text {Best of Luck!}[/tex]

Answer:

0

Step-by-step explanation:

3(a + 4) - 5(a - 2) = 22

3a + 12 - 5a + 10 = 22

-2a + 22 = 22

-2a = 0

a = 0

I hope this helps you :)

keep change flip
10×4 1/4​

Answers

I not sure but I think it’s will be 10

Select all that apply. Which of the following expressions have a quotient of -1/7?

Answers

Answer:

we need more

Step-by-step explanation:

-12 / -6 = 2....nope

-12 / 6 = -2....yep

-6 / -3 = 2....nope

6 / -3 = -2....yep

-6 / 3 = -2...yep

Step-by-step explanation:there you go happy early thanksgiveing you have a blessed day!

Which is the equation of the same line as y = 3x - 8?
A. 3x - 2y = 8
B.-3x - 2y = -8
C. 6x - y = 16
D. 6r - 2y = 16

Answers

Answer:

letter c. 6x-y=16

Step-by-step explanation:

What is the correct justification for the indicated steps?

Step C:

Step D:

Step E:

Answers

Answer:

Step C: distributive property

Step D: Tringonometric Sum Identity

Step E: Factoring

Step-by-step explanation:

The correct justification for the indicated steps:

Step C: distributive property Step D: Tringonometric Sum Identity Step E: Factoring

Thus, the Proof of de Moivre's Theorem is distributive property, Tringonometric Sum Identity and factoring.

Know more :

https://brainly.com/question/11438062?referrer=searchResults

The area of a door is 3024 square inches. If the length of the door is 48 inches longer than the width of the door, what is the width of the door?​

Answers

Answer:

The width of the door is 36 inches

Step-by-step explanation:

The given parameters are;

The given area of the door = 3024 in.²

The length of the door = 48 + The width of the door

Let W represent the width of the door

Therefore, we have;

The length of the door = 48 + W

The area of the door = The length of the door × The width of the door

∴ By substitution, the area of the door = 3024 = W × (48 + W)

3024 = W × (48 + W) = 48·W + W²

48·W + W² = 3024

∴ 48·W + W² - 3024 = 0

Rearranging, we get;

W² + 48·W - 3024 = 0

By trial and error, we have;

(W + 84)×(W - 36) = 0

Therefore, given that the width of the door is a natural number, we have;

The width of the door, W = 36 inches

5 nights in a standard room, costs $495. The Platinum Package, which includes 7 nights in an upgraded room, costs $833. How much more does the Platinum Package cost per night?

Answers

Answer:

$5,831

Step-by-step explanation:

$5,831

Answer:

$20

Step-by-step explanation:

Write 360.124 in expanded and exponential form both

Answers

Step-by-step explanation:

Expanded 300+60+.1+.02+.004

exponential you can't have on if you don't have an exponent

360.124 in expanded and exponential form :
300+60+1/10+2/100+4/1000

If five bags of mulch covers 32 square feet, how many square feet could 16 bags cover?

Answers

Answer:

x=102.4

Step-by-step explanation:

5:32=16:x

x=102.4

Hope this helps plz hit the crown :D

Other Questions
Which of the following are located outside the nucleus of an atom? Select all thatapply.ElectronsProtonsNeutronsNonsense! None of these are located outside the nucleus of the atom. 15) A car salesman earns $700 per week plus 2.5% commission on his sales. If hesold two cars for a total of $75,000 last week, how much did he make?Please help! Read this passage from the Articles of Confederation.All charges of war, and all other expenses that shall be incurred for the common defense or general welfare . . . shall be defrayed out of a common treasury . . . .The taxes for paying that proportion shall be laid and levied by the authority and direction of the legislatures of the several States within the time agreed upon by the United States in Congress assembled.The Articles of Confederation, 1777This passage from the Articles of Confederation primarily relates to the authority ofstate governments to tax citizens.state governments to form armies.the federal government to sign treaties.the federal government to produce currency. What are hooligans, what are their purpose? PLS HELP i'll give brainlyestPls read passage before answeringThe junky car bobbed behind Libby's tow truck as she confidently swung both vehicles into her garage. Her young passenger in the shredded jean jacket seemed a little less secure, however. For the whole trip to the garage, Rick had been whirling around to look through the rear window to check on the car he'd just bought at the salvage yard. Obviously, Rick thought there was a treasure buried among all those dents and rust patches.In the office, Libby told Rick she thought it might be tough to find the alternator he needed. If he could do without the car for a week or two, she'd do her best.That's okay, I guess, Rick shrugged. He tucked a long strand of hair behind one ear. It'd take me at least that long to pay you. I start a new job tomorrow, and it always takes a few weeks to get the first check.Libby smiled. Tell you what. You keep that check. If I find the alternator, it's on me. Just bring your car here for all your repairs after that. She patted the hood of his car, and a small piece of rust floated down to the floor. I hate to tell you, but you're going to be back quite a bit.Cool. Rick bobbed his head. Thanks, dude! Catch you later.A man in a suit walked in just after Rick rambled out. Libby immediately mistrusted him. It was the briefcase. If you've got a car for me, you should just pull it in, she said flatly.The man smiled and shook his head. No, I'm actually hoping to help you out. I'm with Midtown Money Merchants. We're contacting small businesses in the area that need a little spark to grow. A line of credit might be just the spark you need to increase your profits.Libby gritted her teeth. She felt the garage growing cold.It was that winter day again. Libby was nine. She looked through the front window of her family's apartment as a man in coveralls was hooking her family's car up to a tow truck. Another man was at their apartment door, holding an open briefcase and shoving a paper into her father's face.Just another couple of months, her father was insisting. I'll pay extra then. I will!Sir, you haven't even been paying what was expected of you. We have been patient enough. The man snapped his briefcase closed. Now it's time to return what you bought with our company's money. He looked over at Libby for a moment. Then he coughed, turned, and went down the stairwell. The window's glass fogged with the heat of Libby's face.Now walking across the floor of the garage she owned, Libby approached Mr. Midtown Money Merchant. No loans, she said through gritted teeth. My business has done just fine without them.The man escorted himself backward through the door, banging his briefcase against the door as he practically jumped through it.Libby suddenly smiled. Come back when you need a radiator rebuilt, now, you hear? Then she slammed the doorWhich of the following best describes Libby's feelings when Rick says he can't pay her immediately?-She mistrusts him immediately. -She is angry and unsympathetic. -She is understanding and forgiving. -She worries his car will be taken away. PLEASE HELP ME ! ! ! ! Please help me! Ive been trying to find this for an hour ); A healthy diet will ________. Miro la televisin dentro de la casa en unsof cmodo.[Choose ][ Choose ]Hay platos, tazas y vasos en la alacena.La salaLa cocinaMe gusta cantar en la ducha en las maanas.El baoEl patioA Pilar le gusta leer en la tarde.[ Choose] Before we can use gasoline in our cars, the crude oil needs to be separated into separate products like plastics and ink. This process is called Use Boyle's Law to solve this problem: A gas has a volume of 10.0 L at a pressure of 4.0 atm. If the gas expands to 20.0 L, what will be the new volume, assuming that there is no change in moles or temperature. What is the solution for -3x 36? x -12 x -12 x -108 x -108 Choose the correct conjugation of the best verb to complete the sentence.Ellosde EE.UU. Mariza costureira e, para determinar o comprimento de elstico, em cm, que utiliza na confeco de determinado modelo de cala, ela recorre expresso x2+2y . Nessa expresso, x e y so medidas que variam de acordo com o tamanho da cala a ser produzida. Para o tamanho P dessa cala, ela utiliza x=40 cm e y=15 cm Read the given data and find out which country has most equitable distribution of income: Countries Monthly Income of Citizens in four countries in 2018 Citizen I Citizen II Citizen III Citizen IV Citizen V AverageCountry A 500 500 500 48000 500 10,000Country B 500 400 600 700 47,800 10,000Country C 9500 10500 9800 10000 10200 10,000Country D 600 47,800 500 600 500 10,000 Which of the following is a cost of not carrying enough inventory?a. possible worker layoffs.b. customer disappointmentc. all of thesed. lost sales. A bag of marbles can be shared equally among 3, 4, 5, 8 or 10 people with none left over. What is the smallest number of marbles that could be in the bag?Please help this is due at 11:59 Use the drop-down menus to complete each sentence. are organisms that contain more than one cell with membrane-bound organelles and a nucleus.Organisms that contain only one cell and do not contain a nucleus or membrane-bound organelles are known as . Zoroastrianism developed in which ancient empire?AssyrianGreekPhoenicianPersian IMESSAGE GAMES ANYONE?