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
boyakko [2]
3 years ago
14

The reduced row echelon form of a system of linear equations is given. Write the system of equations corresponding to the given

matrix. Use x, y, and z as variables. Determine whether the system is consistent or inconsistent. If it is consistent, give the solution.
1 0 8 -1

0 1 5 2

0 0 0 0


Required:

a. What equation does the first row represent?

b. What equation does the second row represent?

c. What equation does the third row represent?

d. Determine whether the system is consistent or inconsistent. If it is consistent, give the solution.
Mathematics
1 answer:
morpeh [17]3 years ago
6 0

Answer:

  a. x +8z = -1

  b. y +5z = 2

  c. 0 = 0

  d. (x, y, z) = (-1-8z, 2-5z, z)

Step-by-step explanation:

As with the original matrix, the first three columns are the coefficients of the respective variables, and the last column is the constant on the right of the equal sign.

a. The first row represents the equation ...

  x + 8z = -1

__

b. The second row represents the equation ...

  y + 5z = 2

__

c. The third row represents the equation ...

  0 = 0

This equation expresses a truth, so indicates the original system of equations was consistent, but dependent. (a third row of 0 0 0 1 would indicate inconsistent, no solution)

__

d. The system is consistent but dependent. The solution can be written as ...

  (x, y, z) = (-1-8z, 2-5z, z) . . . . where z is a free variable

You might be interested in
What is the answer to <br>y= -2/3x-1
Ivenika [448]

Okay, standard form is Ax + By = C, where A is non-negative. This equation is in slope-intercept form (y = mx +b)

To get this equation from slope-intercept from to standard form, we must first get rid of the fraction -2/3. To do that, multiply each term in the equation by -3:

(y = -2/3x - 1)-3

-3y = 6/3x +3 (distribute the -3 to all terms)

-3y = 2x + 3 (simplify 6/3)

-2x - 3y = 3 (subtract 2x from both sides to get x and y terms on the same side)

2x + 3y = -3 (divide the entire equation by -1)

That's my final answer. Hope this helps.

4 0
4 years ago
Michael plots and connects the following points: A(-3,2), B(1,1), C(-3,4) and D(-5,-1). Which best describes the quadrilateral f
tigry1 [53]
D) trapezoid
because if you plot them on a graph the shape that will show up is sort of a trapezoid
6 0
3 years ago
What is 9+9(2+4)÷3-2 equal
lesantik [10]
First, we must follow PEMDAS. (Parenthesis, exponents, division, multiplication, addition, and subtraction.).

We do what's in the parenthesis first.

9+9(2+4)÷3-2.

2+4=6.

Now our problem looks like this;

9+9(6)÷3-2 
OR
9+9×6÷3-2.

Anything in a parenthesis with no sign next to it, like this; 8(2), just means multiplication, so it would look like this: 8×2.

Next, we do all the multiplication in our problem.

9+9×6÷3-2.

9×6=54.

Now our problem looks like this;

9+54÷3-2.

Next, we do the division. 

9+54÷3-2

54÷3=18.

Now our problem looks like this;

9+18-2.

Next, we do the addition.

9+18-2

9+18=27

Now it looks like this;

27-2.

Finally, we subtract.

27-2=25.

Your final answer is 25!

Have a nice day! :)
7 0
3 years ago
Two lines are graphed on this coordinate plane.
Aneli [31]
The awnser is (3, 1)

Hope this helps!!!!!!!!!!!!!!!!!
7 0
3 years ago
Only a few more PLEASE
Airida [17]

Answer:

8 of them are broken

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Other questions:
  • A pet store has 50 tropical fish and 10 large fish tanks. The store charges $3.00 per fish and $50 for a large fish tank. How mu
    10·2 answers
  • What is the answer for 6(3x-6)=5+3
    7·1 answer
  • How can you divide<br>whole numbers and decimals?​
    14·1 answer
  • Given the point (5, 6) and the slope of 5, find y when x = 21.<br><br> 86<br> 90<br> 105<br> 111
    14·2 answers
  • The sum of the squares of two consecutive integers is 41. Find the integers.
    10·1 answer
  • If 1/2 of 5 is 3, then what is 1/3 of 10?
    11·2 answers
  • What is the range of the following data set? {4, 7. 3. 9. 7. 8. 6. 7. 4. 3}​
    8·1 answer
  • Find the value of given expression<br><br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B24%20%5Ctimes%205%20%2B%201%7D%20" id="
    11·2 answers
  • What is 15^10 + 15^11 + 15^12+ 15^13
    8·2 answers
  • Find the equation for the circle with center (-2,4) and passing through (-1,- 4).
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!