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
galben [10]
3 years ago
11

Linar system in variables -x-3y-2z=8, -x+y+6z=, x-9y-2z=4

Mathematics
1 answer:
docker41 [41]3 years ago
8 0

Answer:

-x+y+6z=? You did not spcify so I just made it 0

x = -22/5, y = -4/5, z = -3/5

Step-by-step explanation:

Solve the following system:

{-x - 3 y - 2 z = 8 | (equation 1)

-x + y + 6 z = 0 | (equation 2)

x - 9 y - 2 z = 4 | (equation 3)

Subtract equation 1 from equation 2:

{-x - 3 y - 2 z = 8 | (equation 1)

0 x+4 y + 8 z = -8 | (equation 2)

x - 9 y - 2 z = 4 | (equation 3)

Divide equation 2 by 4:

{-x - 3 y - 2 z = 8 | (equation 1)

0 x+y + 2 z = -2 | (equation 2)

x - 9 y - 2 z = 4 | (equation 3)

Add equation 1 to equation 3:

{-x - 3 y - 2 z = 8 | (equation 1)

0 x+y + 2 z = -2 | (equation 2)

0 x - 12 y - 4 z = 12 | (equation 3)

Divide equation 3 by 4:

{-x - 3 y - 2 z = 8 | (equation 1)

0 x+y + 2 z = -2 | (equation 2)

0 x - 3 y - z = 3 | (equation 3)

Swap equation 2 with equation 3:

{-x - 3 y - 2 z = 8 | (equation 1)

0 x - 3 y - z = 3 | (equation 2)

0 x+y + 2 z = -2 | (equation 3)

Add 1/3 × (equation 2) to equation 3:

{-x - 3 y - 2 z = 8 | (equation 1)

0 x - 3 y - z = 3 | (equation 2)

0 x+0 y+(5 z)/3 = -1 | (equation 3)

Multiply equation 3 by 3:

{-x - 3 y - 2 z = 8 | (equation 1)

0 x - 3 y - z = 3 | (equation 2)

0 x+0 y+5 z = -3 | (equation 3)

Divide equation 3 by 5:

{-x - 3 y - 2 z = 8 | (equation 1)

0 x - 3 y - z = 3 | (equation 2)

0 x+0 y+z = -3/5 | (equation 3)

Add equation 3 to equation 2:

{-x - 3 y - 2 z = 8 | (equation 1)

0 x - 3 y+0 z = 12/5 | (equation 2)

0 x+0 y+z = -3/5 | (equation 3)

Divide equation 2 by -3:

{-x - 3 y - 2 z = 8 | (equation 1)

0 x+y+0 z = -4/5 | (equation 2)

0 x+0 y+z = -3/5 | (equation 3)

Add 3 × (equation 2) to equation 1:

{-x + 0 y - 2 z = 28/5 | (equation 1)

0 x+y+0 z = -4/5 | (equation 2)

0 x+0 y+z = -3/5 | (equation 3)

Add 2 × (equation 3) to equation 1:

{-x+0 y+0 z = 22/5 | (equation 1)

0 x+y+0 z = -4/5 | (equation 2)

0 x+0 y+z = -3/5 | (equation 3)

Multiply equation 1 by -1:

{x+0 y+0 z = -22/5 | (equation 1)

0 x+y+0 z = -4/5 | (equation 2)

0 x+0 y+z = -3/5 | (equation 3)

Collect results:

Answer: {x = -22/5, y = -4/5, z = -3/5

You might be interested in
The polynomial 2x3- 5x -10 is split into two groups, 2x3 +4 and -5x-10 the gifs of each group is then factored out
Lesechka [4]

Answer:

Step-by-step explanation:

4 0
3 years ago
(−1)^3⋅(−1)^2<br> simplify
Yanka [14]

Answer:

Step-by-step explanation:

(-1)³·(-1)² = (-1)·(1) = -1

Alternatively,

(-1)³·(-1)² = (-1)³⁺² = (-1)⁵ = -1

6 0
2 years ago
A salesperson earns a base salary of $4000 per month plus 15% commission on sales. her monthly income f(s) is given by the funct
artcher [175]
9.) Given that the salesperson earns a base salary of $4000 per month plus 15% commission on sales if the salesperson's commission is lowered to 5%, then <span>her monthly income g(s) is given by the function g(s)=4000 +0.05s where s is monthly sales in dollars



10) </span>Given that the salesperson earns a base salary of $4000 per month plus 15% commission on sales if the salesperson's base salary is doubled, then her monthly income h(s) is given by the function g(s)=8000 +0.15s where s is monthly sales in dollars



11) Given that the salesperson earns a base salary of $4000 per month plus 15% commission on sales <span>if the salesperson's base salary is cut in half and her commission is doubled</span>, then her monthly income k(s) is given by the function k(s)=2000 +0.3s where s is monthly sales in dollars.
8 0
3 years ago
Read 2 more answers
Which is the polynomial function of lowest degree
Tems11 [23]

Option D:

f(x) = x(x + 2)(x + 5)

Solution:

Given root of the polynomial functions are:

–5, –2 and 0.

If a is the root of the polynomial then the factor is (x –a).

So that, the factors of the given roots are:

(x –(–5)) = x + 5

(x –(–2)) = x + 2

(x – 0) = x

Polynomial = Product of the factors

             f(x) = (x + 5)(x + 2)x

Switch the order of the factors.

             f(x) = x(x + 2)(x + 5)

Option D is the correct answer.

The polynomial function of lowest degree is f(x) = x(x + 2)(x + 5).

3 0
2 years ago
7 minutes left and im dead and im only at the 4th question, help?
sattari [20]

Answer:

angle T = angle D

6 0
3 years ago
Read 2 more answers
Other questions:
  • Which expression is a factor of x2 – 52 – 6?
    5·1 answer
  • PLEASE HELP!!!!!!!!
    14·1 answer
  • Factor the sum of terms as a product of the gcf and sum 18+20
    10·1 answer
  • What times 8 equals 9.6
    12·1 answer
  • Which equation has the solution x = 2 ?
    14·1 answer
  • Joe had a summer job that pays $7.00 an hour and he worked 15 and 35 hours every week. His weekly salary can be modeled by the e
    6·1 answer
  • In the diagram below of parallelogram STUV, SV = x + 3,
    13·1 answer
  • Find the surface area of the pyramid, round to the nearest tenth:
    6·2 answers
  • Percentage Practice- What percent of 24 is 42?
    12·1 answer
  • Circle the statement or statements that are not equal to 1.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!