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
frosja888 [35]
2 years ago
12

-X-5y + z = 17

Mathematics
1 answer:
grin007 [14]2 years ago
8 0

Answer:

x = -1 , y = -4 , z = -4

Step-by-step explanation:

Solve the following system:

{-x - 5 y + z = 17 | (equation 1)

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

2 x + 5 y - 3 z = -10 | (equation 3)

Swap equation 1 with equation 2:

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

-x - 5 y + z = 17 | (equation 2)

2 x + 5 y - 3 z = -10 | (equation 3)

Subtract 1/5 × (equation 1) from equation 2:

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

0 x - 4 y+0 z = 16 | (equation 2)

2 x + 5 y - 3 z = -10 | (equation 3)

Divide equation 1 by 5:

{-x - y + z = 1 | (equation 1)

0 x - 4 y+0 z = 16 | (equation 2)

2 x + 5 y - 3 z = -10 | (equation 3)

Divide equation 2 by 4:

{-x - y + z = 1 | (equation 1)

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

2 x + 5 y - 3 z = -10 | (equation 3)

Add 2 × (equation 1) to equation 3:

{-x - y + z = 1 | (equation 1)

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

0 x+3 y - z = -8 | (equation 3)

Swap equation 2 with equation 3:

{-x - y + z = 1 | (equation 1)

0 x+3 y - z = -8 | (equation 2)

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

Add 1/3 × (equation 2) to equation 3:

{-x - y + z = 1 | (equation 1)

0 x+3 y - z = -8 | (equation 2)

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

Multiply equation 3 by 3:

{-x - y + z = 1 | (equation 1)

0 x+3 y - z = -8 | (equation 2)

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

Multiply equation 3 by -1:

{-x - y + z = 1 | (equation 1)

0 x+3 y - z = -8 | (equation 2)

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

Add equation 3 to equation 2:

{-x - y + z = 1 | (equation 1)

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

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

Divide equation 2 by 3:

{-x - y + z = 1 | (equation 1)

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

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

Add equation 2 to equation 1:

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

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

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

Subtract equation 3 from equation 1:

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

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

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

Multiply equation 1 by -1:

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

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

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

Collect results:

Answer: {x = -1 , y = -4 , z = -4

You might be interested in
A swimming pool holds 250,000 gallons of water and is being drained at 200 gallons per minute. How many gallons remain in the po
seropon [69]

Answer:

After 5 minutes, the pool will hold 249,00 gallons of water.

After 20 minutes, the pool will hold 246,000 gallons of water.

6 0
2 years ago
Read 2 more answers
ryan has a balance of $75 in his savings account and deposits $25 each week. He needs at least $300 to buy the gift he wants for
horsena [70]

Answer:

25x + 75 ≥ 30

Hope this helps!

4 0
2 years ago
. Halla la expresión algebraica de un
Assoli18 [71]

Answer:

100*x + 14*y

Step-by-step explanation:

Tenemos que en el sistema decimal un número de 3 cifras se representa de este modo:

100*x + 10*y + z

También es llamado descomposición polinómica y de esta manera podremos encontrar la expresión algebraica.

Nos dicen la relación entre unidades y decenas, 4 veces mayor las unidades que las decenas, por lo tanto:

z = 4*y

Reemplazamos y nos queda:

100*x + 10*y + 4*y

reduciendo nos queda:

100*x + 14*y

Por lo tanto esta sería la expresión algebraica.

3 0
3 years ago
Trigonometry<br> Trigonometric Equations<br> csc x cot x + cot x = 0; x [ 0, 2π ]
san4es73 [151]

Answer:

x=π/2 ,3π/2

Step-by-step explanation:

cot x(csc x+1)=0

either cot x=0

tanx=∞=tan (π/2)

x=π/2

or csc x=-1

or sin x=-1=-sin (π/2)=sin (π+π/2)=sin (3π/2)

x=3π/2

5 0
3 years ago
Read 2 more answers
Please help, I really would love it
Amanda [17]

Answer:

A,C, and D I believe.

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • Ocean floor takes up 2/5 space if 3/8 is coral how much space is coral
    11·1 answer
  • I need help so bad this makes no sence
    9·1 answer
  • What is the area of the kite?<br> 6ft 14ft
    15·2 answers
  • Jenna bought a gallon of milk at the store for $3.58. About a bag of chips for $2.08. With a $10 bill . How much change did she
    5·1 answer
  • Plz help <br> decrease 420 by 7%
    9·1 answer
  • Find the value of x.<br>6 3 2 x​
    15·1 answer
  • Show the working pls :))
    6·1 answer
  • Which of the following tables does not represent a linear relationship between x and y?
    7·1 answer
  • Hi please help!!! i’ll give you a brainless answer (question in picture)
    5·2 answers
  • 2. Guelmy played 4 different video games in 2 hours. At this same rate, how many video games would he play in 5 hours?​
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!