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
PLEASE HELP! What is the volume of the pyramid shown below?
mezya [45]
The formula for the volume of a pyramid is,

V=1/3Bh


Since the base of the pyramid is a square, the base area is 11^2

which equals 121 sq. units

So, substitute 121

for B

and 6 for h, in the formula.

V=1/3(121)(6) = 242 cu. units

Or alternatively 1/3(11^2)(6) = 242 cu. units
8 0
2 years ago
Read 2 more answers
10 POINTS AND BRAINLIEST! PLEASE ANSWER BOTH QUESTIONS!
jok3333 [9.3K]

Segment CF is parallel to segment BE because these segments are side by side and will have the same distance continuously between them. Therefore your answer would be,

Segment BE

∠AOF is the angle that is the supplementary angle to ∠FOD because these are two angles that sum up to 180°. hence, the answer is,

∠AOF

8 0
3 years ago
Pls help need asap in 10 mins stressing out ://
eimsori [14]

Answer:  The correct option is

(D) {3, 10, 17, 24, …}.

Reasoning:

 We are given to select the sequence that represents the following function with a domain of natural numbers :

The set of natural numbers is {1, 2, 3, 4, . . .}

to find the sequence, we need to substitute x = 1, 2, 3, 4, . . . in equation (i).

From equation (i), we get

Therefore, the sequence that represents the given function is {3, 10, 17, 24, …}.

Thus, option (D) is CORRECT.

4 0
2 years ago
A test grade was 92%. 60 items were correct. How many test items were there?
Anna11 [10]
Set up an inequality:

\frac{92}{100}=\frac{60}{x}

Cross-multiply:
92x=6000
x=65 questions


6 0
3 years ago
Please help me! its algebra 1
scZoUnD [109]
The answer is D-16

16/4= 4. 4x3=12. 12-2=10
8 0
2 years ago
Read 2 more answers
Other questions:
  • 46 = -6t - 8 what is t
    8·1 answer
  • The population of mastertown was 23,000 in 2012. assume that mastertowns population increases at a rate of 2% per year. write an
    10·1 answer
  • at 7:00 pm the temperature is 10°F for the next 4 hours, the temperature decreases by 3°F each hour. what is the temperature at
    12·1 answer
  • There are (713)3 ⋅ 70 strawberries in a field. What is the total number of strawberries in the field?
    7·2 answers
  • What is the obesity threshold weight for a young adult American male?
    13·2 answers
  • If k is a constant, what is the value of k such that the polynomial 2ky^-kx-8 is divisible by (x-2)
    13·2 answers
  • Number line showing 7/10
    8·1 answer
  • Trigonometry is hard someone help<br> Please :)
    14·1 answer
  • Renaldo has a
    9·1 answer
  • Andrew used the following mental math strategy to find the total number of hours he worked on his project.6.6+2.75+4.46.6+2.75+4
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!