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
Josh works for The Milkshake Diner. The company wants to know which milkshake flavor is the most popular. Today, he surveyed
AlekseyPX

its b i think please vote me i need points

6 0
3 years ago
Which of the following is an algebraic expression that represents the phrase X increased by 20
iren2701 [21]

Answer:

The expression means that X+20

5 0
2 years ago
Jasmine bought 7 yards of fabric that total cost was $45.43 what was the average cost per yard of the fabric she bought.
Doss [256]
$6.49 because 45.43÷7 is 6.49 ~JZ
3 0
3 years ago
Crafty grandma Edith set her family down during Thanksgiving and told them they couldn't have any pet can pass until they worked
Jet001 [13]
Based on the given puzzle above by crafty grandma Edith and was answered by her six-year-old granddaughter, the correct answer would be 3. 9183 is equals to 3. Hope this is also the answer that you are looking for. Have a great day!
5 0
3 years ago
5)
Paladinen [302]

Answer:183.4

Step-by-step explanation:

90/11=8.181818  1500/8.1818 = ≈183.4 time you would roll six  

6 0
3 years ago
Other questions:
  • : Use the 4 Steps in Problem Solving. Solve the problem using at least two different strategies and show your work for each stra
    10·1 answer
  • Trey's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Trey $4.80 per pound, and type B
    7·1 answer
  • What is red mean for 55555555
    13·1 answer
  • A rectangular lot is 110 yard long and 60 yards wide. Give the length and width of another rectangular lot that has the same per
    7·2 answers
  • 5. compune o problema dupa exercitiul dat,apoi rezolva 45678-(45678-3255)=
    11·1 answer
  • What is the second step to solve this equation?<br> 5X-8=27
    13·2 answers
  • What value of c make polynamial below a prefect square ? x^2+10x+c <br> C=
    5·1 answer
  • identify an equation in point slope form for the line perpendicular to the y=-1/2x+11 that passes through (4,-8). a. y+8=1/2(x-4
    7·1 answer
  • Using the equation 4x^3-6x^2-144x+8, find the function values f(-3) and f(-4) at the interval {-4,5}
    7·1 answer
  • In February, 1985, the cost of a gallon of milk was $2.26. In November of 2007, how much would that gallon of milk cost?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!