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
Hunter-Best [27]
3 years ago
5

Use Gaussian elimination to find the complete solution to the system of equations, or state that none exists.

Mathematics
1 answer:
son4ous [18]3 years ago
4 0
Using Gaussian elimination:
x + y + z = 9  / * ( - 2 )    / ( - 1 ) ( we will multiply by - 2 and add to the 2nd         2 x - 3 y + 4 z = 7      equation and multiply by - 1 and add to the 3rd equation ) 
x - 4 y + 3 z = - 2
-----------------------------
x + y + z = 9
    - 5 y + 2 z = - 11  / * ( - 1 )
    - 5 y + 2 z = - 11
---------------------------
x + y + z = 9
   - 5 y + 2 z = - 11
              0 z = 0
There are infinitely many solutions to the system of equations.
z = t,
- 5 y + 2 t = - 11
5 y = 11 + 2 t
y = ( 11 + 2 t ) / 2
x + ( 11 + 2 t ) / 2  + t = 9    / * 2
2 x + 11 + 2 t + 2 t = 18
2 x = 18 - 11 - 4 t
x = ( 7 - 4 t ) / 2
( x, y , z ) = (   (7 - 4 t ) / 2,   ( 11 + 2 t ) / 2,    t  )
You might be interested in
Add the following polynomials
Inga [223]

-2.4x^2 -1.5x-11.4 is the answer

3 0
3 years ago
What is the distance between the points (5, 9) and (–3, 9)?
katrin2010 [14]

Here's link to the answer:

tinyurl.com/wpazsebu

7 0
3 years ago
Please help! And 20 points! :3<br> I need help with these 3 questions- <br> -3-||
BaLLatris [955]

Answer:

where r the questions--?

Step-by-step explanation:

7 0
3 years ago
Which of the following statements about the number line is true? A. Numbers get smaller as you move to the left on the number li
Naily [24]
A. Numbers get smaller as you move to the left on the number line.
3 0
3 years ago
The length of a rectangle is 3 1/6 cm longer than the width. The perimeter of the rectangle is 15 1/3 cm. What are the width and
timofeeve [1]

Answer:

Width = 2\frac{1}{4}cm

Length=5\frac{5}{12} cm

Step-by-step explanation:

Data from the question;

Perimeter of a rectangle is 15\frac{1}{3} cm

Length is 3\frac{1}{6} cm longer than the width

We are supposed to determine the length and the with of the rectangle;

Assuming, the width x cm

Then, the length is x+3\frac{1}{6} cm

We need to know that the perimeter of a rectangle is given by;

Perimeter = 2 ( length + width)

Therefore;

15\frac{1}{3}= 2 ( x + (x+3\frac{1}{6}))

15\frac{1}{3}=2(2x+3\frac{1}{6})

Thus;

15\frac{1}{3}=4x+6\frac{1}{3}

4x=9\\x=2\frac{1}{4}

Therefore;

Width = 2\frac{1}{4}cm

Length = x + 3\frac{1}{6}

           =2\frac{1}{4}+3\frac{1}{6}

            =5\frac{5}{12} cm

Therefore; the length is 5\frac{5}{12} cm while the width is 2\frac{1}{4} cm

7 0
3 years ago
Other questions:
  • Simplify the expression
    13·2 answers
  • Which expressions represent a quadratic expression in factored form?
    7·1 answer
  • A cup of coffee contains about 100 mg of caffeine. Caffeine is metabolized and leaves the body at a continuous rate of about 12%
    8·1 answer
  • Which graph represents y=3 square rootx +2 ?
    9·1 answer
  • I really need this pls helppp
    13·2 answers
  • What solution value does not satisfy the compound inequality x – 7 &lt; 17 or –6x &gt; 36? Question 2 options: A) x = – 10 B) x
    10·1 answer
  • How did the boundaries of the Mauryan Empire change under Aśoka?
    6·1 answer
  • 8. Trisha uses 3 cups of sugar for every 2 teaspoons of baking soda to make a batch of cookies.
    12·1 answer
  • Please help me fast i need help please
    6·1 answer
  • Please explain thoroughly so I understand. Will mark genuine answer as brainliest.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!