1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kati45 [8]
3 years ago
13

Solve the 3 × 3 system shown below. Enter the values of x, y, and z. X + 2y – z = –3 (1) 2x – y + z = 5 (2) x – y + z = 4 (3)

Mathematics
2 answers:
Svet_ta [14]3 years ago
6 0
<h2>Answer:</h2>

\boxed{x=1, \y=-1, \ z=2}

<h2>Step-by-step explanation:</h2>

We will use the Gaussian elimination method to solve this problem. To do so, let's follow the following steps:

Step 1: Let's multiply first equation by −2. Next, add the result to the second equation. So:

\begin{array}{ cccc }~~ x&+~~2~ y&-~~~~~ z&~=~-3\\&-~~~5~ y&+~~3~ z&~=~11\\~~ x&-~~~~~ y&+~~~~ z&~=~4\end{array}

Step 2: Let's multiply first equation by −1. Next, add the result to the third equation. Thus:

\begin{array}{ cccc }~~ x&+~~2~ y&-~~~~~ z&~=~-3\\&-~~~5~ y&+~~3~ z&~=~11\\&-~~~3~ y&+~~2~ z&~=~7\end{array}

Step 3: Let's multiply second equation by −35, Next, add the result to the third equation. Therefore:

\begin{array}{ cccc }~~ x&+~~2~ y&-~~~~~ z&~=~-3\\&-~~~5~ y&+~~3~ z&~=~11\\&&+~~\frac{ 1 }{ 5 }~ z&~=~\frac{ 2 }{ 5 }\end{array}

Step 4: solve for z, then for y, then for x:

\frac{ 1 }{ 5 } ~ z & = \frac{ 2 }{ 5 } \\ \\ \boxed{z & = 2}

-5y+3z &= 11\\-5y+3\cdot 2 &= 11\\ \\ \boxed{y &= -1}

By substituting y=-1 \ and \ z=2 into the first equation, we get the x. So:

x+2(-1)-2=-3 \\ \\ x-2-2=-3 \\ \\ \boxed{x=1}

oksian1 [2.3K]3 years ago
6 0

Answer:

X= 1, y= -1, z= 2

Step-by-step explanation:

You might be interested in
For the month of April which option would be better? 1. To be gifted $1,000,000 once only on April 1st. OR 2. To receive a penny
SVETLANKA909090 [29]

Answer:

a.) April has 30 days

If you for option No.2, you would have:

[day, amount($)]

1, 0.01

2, 0.02

3, 0.04

4, 0.08

5, 0.16

6, 0.32

7, 0.64

8, 1.28

9, 2.56

10, 5.12

11, 10.24

12, 20.48

13, 40.96

14, 81.82

15. 163.48

16, 327.68

17, 655.36

18, 1310.72

19, 2621.44

20, 5242.88

21, 10,485.76

22, 20,971.52

23, 41,943.04

24, 83,886.08

25, 167,772.16

26, 335,544.32

27, 671,088.64

28, 1,342,177.28

29, 2,684,354.56

30, 5,368,709.12

Option 2 grants you more than 5 times as much as Option A and is therefore obviously better.

b.) A diagram would show first a slow rise, than a steeper and steeper rise, then would almost growvertically. exponential growth

#coronatime

The most elegant form to describe the given numbers would simply be

$=1*2^x

You start with one, eich doubles after a day (x=1). x is the number of days and how often you multiply by 2

c.) Wasn't sure without calculating, but I guessed Opt.2, because it seemed that one should be tricked into choosing Opt.1

Have a nice day

Brainliest would be appreciated

If there are questions left, feel free to ask them

4 0
3 years ago
License plates in a particular state display 2 letters followed by 4 numbers How many different license plates can be manufactur
SSSSS [86.1K]
Tbh I think the answer is 3
5 0
3 years ago
Read 2 more answers
28 pounds of recyle trash is what percent of the barrel of 57 pounds of trash
Marrrta [24]
28/57*100=49% I would like to think that is the correct procedure and answer 
3 0
2 years ago
Many credit card companies charge a compound interest rate of 1.8% per month on a credit card balance. Miriam owes $650 on a cre
Sauron [17]

Answer:

<u>The correct answer is D. 650.oo, 661.70, 673.61, 685.74, 698.08</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Compound interest rate charged by Miriam's credit card company = 1.8% monthly

2. If she makes no purchases or payments, she will go more and more in debt.  Which of the following sequences describes her increasing monthly balance?​

Miriam's current credit card balance = US$ 650

Miriam's credit card balance in one month = 650 * 1.018

Miriam's credit card balance in one month = 661.70

Miriam's credit card balance in two months = 661.70 * 1.018

Miriam's credit card balance in two months = 673.61

Miriam's credit card balance in three months = 673.61 * 1.018

Miriam's credit card balance in three months = 685.74

Miriam's credit card balance in four months = 685.74 * 1.018

Miriam's credit card balance in four months = 698.08

<u>The correct answer is D. 650.oo, 661.70, 673.61, 685.74, 698.08</u>

6 0
2 years ago
SUBSTITUTING INGREDIENTS
tatiyna

Answer:

1.      1 tablespoon Dijon mustard

2.     Combine six Tablespoons of cocoa powder and two Tablespoon of vegetable oil, butter or shortening

3.     2 cups of all-purpose flour, 3 teaspoons baking powder, and ½ teaspoon salt

3.      One teaspoon of dried basil leaves

4.      Combine 1 3/4 cups all-purpose flour with 1/4 cup cornstarch

Step-by-step explanation:

CAn I have brainliest? TYSMMMMMMMMMM

3 0
3 years ago
Other questions:
  • Which is greater 27 over 50 or 27%
    5·1 answer
  • How do you turn 5x + 4y =8 into. Y= mx+ b
    5·2 answers
  • Which one is it?? because I really I dont under<br>​
    13·1 answer
  • help please.....A carton holds 42 erasers. Each eraser weighs 3.6 ounces. What is the total weight of the carton?
    15·2 answers
  • Need help with number 16
    10·1 answer
  • Still need help on this please need help
    8·1 answer
  • The power generated by an electrical circuit (in watts) as a function of its current ccc (in amperes) is modeled by:
    15·1 answer
  • Solomon is 9 years younger than his brother. His brother is 21. How old is Solomon
    10·2 answers
  • 195.43 rounded to the nearest 10th
    14·1 answer
  • The spread of oil leaking from a tanker is in the shape of a circle. If the radius of the spread after t hours is r(t)=200^t, fi
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!