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
Gekata [30.6K]
3 years ago
7

Find the system of linear equations represented by the augmented matrix. Then use back substitution to solve. (Use variables x,

y, z, and w if applicable.)
[ 1 2 -2 : 3
0 1 1 : -15
0 0 1 : -5 ]
(x, y, z) = ______.
Mathematics
1 answer:
devlian [24]3 years ago
4 0

Answer:

x = 13       y  =  - 10     z  =  -5

Step-by-step explanation:

In the augmented matrix of a system of linear equation, each row represent an equation, and each column represent variables and constants

Therefore the linear equation for the augmented matrix

1  2  -2  : 3  

0  1   1  : -15

0  0   1 : -5

Is in terms of  x  y  z  and  w, the equation system:

1*x  +  2*y  - 2*z  =  3

0*x +  1* y   +  1*z   = -15

0*x  + 0*y + 1*z = -5

To solve it we proceed as follows

from the last equation      z  =  -  5

plugging this value in the second equation

y  +  z  =  - 15

y   -  5 =  - 15

y  =  - 10

And finally

x  + (2)*(-10) - 2*( - 5 )  =  3

x  -  20  + 10  = 3

x  -  10  = 3

x  =  13

You might be interested in
Assume GDP is $19 billion. If consumer spending is $8 billion, financial investment is $2 billion, investment spending is $5 bil
Mila [183]
Answer W at -4 billion is the answer.
5 0
3 years ago
Read 2 more answers
Hilary's Horse Hideaway is buying dirt to fill their circular training area. The training circle is 28 feet across. What is the
AnnZ [28]

Answer:

A = 615.75

cost = $107.08

Step-by-step explanation:

the training area = (28/2)^2*pi

training area = 615.75 square feet

615.75/5.75 = 107.08

$107.08

5 0
2 years ago
Can someone help solve
leva [86]

\frac{-18z^{7}y^{5}-9z^{9}y^4+18z^6y^8}{9zy^{2} }= -2z^6y^3-z^8y^2+2z^5y^6


When variables with exponents are divided by each other, you subtract the exponents.

For example:

\frac{x^2}{x^1} = x^{2-1} =x^1

\frac{x^5}{x^3} =x^{5-3} = x^2

8 0
3 years ago
Guess what y’all…<br><br> season 2 of Never Have I Ever is coming out in July 2021!!!
Reika [66]

Answer:

what is Never Have I Ever

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Austin drove 819 miles in 13 hours. At the same rate, how long would it take him to drive 693 miles?
ch4aika [34]

Answer:✓ 819/13= 63 miles distance in one hour 8*(63)=504 miles in 8 hours Warning: I am sick in bed. Double check my work.

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Other questions:
  • A worker earned a 2%
    9·1 answer
  • Indicate in standard form the equation of the line passing through the given points. R(3, 3), S(-6, -6)
    14·1 answer
  • Factor the Expression x^2-8x-16
    11·1 answer
  • Solve for x:<br> 3 3<br> 4<br> &gt;-6<br> 4
    5·1 answer
  • What is the value of the expression f2 + 8 if f = 7?
    7·2 answers
  • For the graph of f (x) = | x |, what does the origin represent?
    8·1 answer
  • Can someone help me out wit this question ​
    11·1 answer
  • Please help <br><br> Please help<br><br> Please help
    15·1 answer
  • Is 3.13 greater than 3.12
    13·2 answers
  • Charles and his brother are sharing the cost of a video game. The video game costs $30.70. If Charles saved $20 to buy the game
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!