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
konstantin123 [22]
3 years ago
12

Solve the system of equations by finding the reduced row echelon form of the augmented matrix. Write the solutions for x and y i

n terms of z comma where z can be any number. StartLayout left-brace 1st Row 1st Column 3 x plus y plus 4 z 2nd Column equals 3rd Column -3 2nd Row 1st Column negative x plus y plus 4 z 2nd Column equals 3rd Column 17 EndLayout
Mathematics
1 answer:
Gwar [14]3 years ago
6 0

Answer:

The solutions for the given system of equations are:

\left \{ {{x=-5} \atop {y=12-4z}} \right.

Step-by-step explanation:

Given the equation system:

\left \{ {{3x+y+4z=-3} \atop {-x+y+4z=17}} \right.

We obtain the following matrix:

\left[\begin{array}{cccc}3&1&4&-3\\-1&1&4&17\end{array}\right]

<u>Step 1:</u> Multiply the fisrt row by 1/3.

\left[\begin{array}{cccc}1&\frac{1}{3} &\frac{4}{3}&-1\\-1&1&4&17\end{array}\right]

<u>Step 2:</u> Sum the first row and the second row.

\left[\begin{array}{cccc}1&\frac{1}{3} &\frac{4}{3}&-1\\0&\frac{4}{3} &\frac{16}{3}&16\end{array}\right]

<u>Step 3:</u> Multiply the second row by 3/4.

\left[\begin{array}{cccc}1&\frac{1}{3} &\frac{4}{3}&-1\\0&1 &4&12\end{array}\right]

<u>Step 4:</u> Multiply the second row by -1/3 and sum the the first row.

\left[\begin{array}{cccc}1&0 &0&-5\\0&1 &4&12\end{array}\right]

The result of the reduced matrix is:

\left \{ {{x=-5} \atop {y+4z=12}} \right.

This is equal to:

\left \{ {{x=-5} \atop {y=12-4z}} \right.

These are the solutions for the system of equations in terms of z, where z can be any number.

You might be interested in
Please help me i need it ​
brilliants [131]
16z-16 +4z = 20z-16
So that is the explanation to the question hope this helps and yes this is correct
7 0
3 years ago
Please help! Read question 5.
pickupchik [31]

1 centimeter =10 millimeters
10x3=30millimeters
30+47=77 millimeters
Hope that helps :).
8 0
3 years ago
I need help on whichever question anyone might know how to do . QUICK
DiKsa [7]
9-7= 2 and ±2-±8=6 here are the answers to one of the questions you need help whith
8 0
3 years ago
What fraction is 1 degree?
allsm [11]
1/360
Hope this helps please mark this as brainliest answer
7 0
3 years ago
Simplify the expression:<br> 2h+7+6+2h2
Alekssandra [29.7K]
2h2+2h+13 I believe!!!!
8 0
3 years ago
Read 2 more answers
Other questions:
  • Joey drives a golf cart when he needs to monitor the security of his neighborhood. He can cover the 40 miles of streets in his n
    15·2 answers
  • 2.394inches per minute about how many inches will it travel in 7.489minutes.
    12·2 answers
  • What is an irrational number between 5 and 7
    5·1 answer
  • Can someone give the answer for the number pattern and we need to show your work, I am struggling. Please!
    15·1 answer
  • How much time does it take the car to complete one revolution around the track?
    15·1 answer
  • Evaluate the following expression when a=4,b=2 , and c=9 c/3 + A
    8·2 answers
  • Write the phrase as a numerical or algebraic expression: 7 more than 16n
    14·2 answers
  • Write in slope-intercept form an equation of the line that passes through the point (r,p) with slope q.
    9·1 answer
  • Calculate the tax amount they pay in a form of tax (tax =R14 850)​
    6·1 answer
  • Adelaide signed up for swimming lessons. Before start-
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!