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
Kipish [7]
3 years ago
5

Determine the values of a for which the following system of linear equations has no solutions, a unique solution, or infinitely

many solutions. You can select 'always', 'never', 'a = ', or 'a ≠', then specify a value or comma-separated list of values. 2x1−6x2−4x3 = 6 −x1+ax2+4x3 = −1 2x1−5x2−2x3 = 9
Mathematics
1 answer:
navik [9.2K]3 years ago
4 0

Answer:

Never

Never

Never

Step-by-step explanation:

The equations given are

2x1−6x2−4x3 = 6 ....... (1)

−x1+ax2+4x3 = −1 ........(2)

2x1−5x2−2x3 = 9 ..........(3)

the values of a for which the system of linear equations has no solutions

Let first add equation 1 and 2. Also equation 2 and 3. This will result to

X1 + (a X2 - 6X2) - 0 = 5

And

X1 + (aX2-5X2) + 2X3 = 8

Since X2 and X3 can't be cancelled out, we conclude that the value of a is never.

a unique solution,

Let first add equation 1 and 2. Also equation 2 and 3. This will result to

X1 + (a X2 - 6X2) - 0 = 5

And

X1 + (aX2-5X2) + 2X3 = 8

The value of a = never

infinitely many solutions. 

Divide equation 1 by 2 we will get

X1 - 3X2 - 2X3 =3

Add the above equation with equation 3. This will result to

3X1 - 8X2 - 4X3 = 12

Everything ought to be the same. Since they're not.

Value of a = never.

You might be interested in
The length of a rectangle is 3 less than twice the width. Write a function rule for the perimeter in terms of w, the width
Nitella [24]

l = 2w-3

P = 2(l+w)

substitute in for l

P = 2(2w-3 +w)

combine like terms

P = 2(3w-3)

P = 6w-6

P(w) = 6(w-1)


3 0
2 years ago
Read 2 more answers
Help me with my math!
joja [24]
23 is negative correlation
6 0
3 years ago
Read 2 more answers
Yolanda is planning to put a pool in her backyard. The scaled model below gives the reduced measures for diameter and depth. Not
VMariaS [17]
Correct Answer: 
C option: 6 feet

Solution:
Since <span>Yolanda wants to keep the pool in proportion to the model, the ratio of diameter to depth of model and the pool will be same.

Let the depth of pool is x feet. So we can write:

Ratio of Diameter to Depth of Model = Ratio of Diameter to Depth of pool
</span>18:4=27:x \\  \\ &#10; \frac{18}{4} = \frac{27}{x} \\  \\ &#10;x=27* \frac{4}{18}  \\  \\ &#10;x=6
<span>
This means the depth of pool should be 6 feet if </span><span>Yolanda wants to keep the pool in proportion to the model.</span>
7 0
3 years ago
Read 3 more answers
The sum of 7 angles of a decagon is 1170°. The 3 sides are equal to each other. Calculate the size of the other 3 angles.​
7nadin3 [17]

Answer:

180.....1888888888888888

5 0
2 years ago
Read 2 more answers
Área de un cuadrado de 5 cm otro de 4 cm y de 8 cm cual es el Area.​
Dmitriy789 [7]

Answer:

Bruv, this is an English server.

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Other questions:
  • Felice knows that segment RS || segment QT. She wants to use the definition of a parallelogram to prove that the quadrilateral i
    11·1 answer
  • Charles has $10.00 and is heading to the store. He has to buy milk for his Mom that costs $2.75, and gets to use
    7·1 answer
  • Which relationship is a function?
    15·1 answer
  • What is (x) in this problem 3/5=(-x)+1
    13·1 answer
  • Find the slope between the two given points (-9,5) and (-6,2)
    7·1 answer
  • Solve (-4-7i)-(4+5i)-(2-i)
    10·1 answer
  • A man bought an item for#5000 and sold it at a loss of 25%. how much did he sell it?​
    11·1 answer
  • Kenji packed an exercise ball into a cylindrical package. The cylindrical package is made out of plastic. How much plastic was u
    7·1 answer
  • Identify the coefficient in the expression 7y + 8.
    7·2 answers
  • Identify the set of X-values for which f(X) is greater than or equal to 0.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!