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]
3 years ago
12

-X-5y + z = 17

Mathematics
1 answer:
grin007 [14]3 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
H.<br> R(x) = kx – 2x^2 ; R(1/4)<br> R(-1/4)<br> find k.
True [87]

Answer:

k=0

Step-by-step explanation:

R(x)=kx-2x²

R(1/4)=k(1/4)-2(1/4)²=k/4-1/8

R(-1/4)=k(-1/4)-2(-1/4)²=-k/4-1/8

R(1/4)=R(-1/4)

k/4-1/8=-k/4-1/8

k/4+k/4=1/8-1/8

2k/4=0

2k=0

k=0

6 0
3 years ago
Cesar turned in his third research report, his teacher said that he had completed 20%of the reports for the school year, how man
AleksAgata [21]

Answer:

Cesar will be doing  15 research reports during the school year.

Step-by-step explanation:

Given:

Number of research report completed = 3

Percentage of the report completed for school year = 20%

We need to find total number of research report completed during school year.

Solution:

Let the total number of research report completed during school year be 'x'.

Now we can say that;

Number of research report completed is equal to Percentage of the report completed for school year multiplied by total number of research report completed during school year and then divided by 100.

framing in equation form we get;

3=\frac{20}{100}\times x\\\\3=0.2x

Dividing both side by 0.2 we get;

\frac{3}{0.2}=\frac{0.2x}{0.2}\\\\x=15

Hence Cesar will be doing  15 research reports during the school year.

6 0
3 years ago
Please help me............... ​
Contact [7]

Answer:

150

Step-by-step explanation:

because acute angle is less than 90 degree

6 0
3 years ago
<img src="https://tex.z-dn.net/?f=%20%5Csqrt%5B%20%5Csqrt%5B40404504x%20%5Cfrac%7Bx05121y%20%5Csqrt%5By%20%7C4%7C%20%5D%7B%3F%7D
atroni [7]

Answer:

The answer is 12 |17|7|5  ​ ​

what is the question?

Step-by-step explanation:

stan bts

6 0
2 years ago
Select all the expressions that are equal to the product of 18 and 6.
Vlad1618 [11]

Answer: 108

Step-by-step explanation:

product means x 's so there for 18x6= 108

5 0
3 years ago
Other questions:
  • What's my first step?
    9·1 answer
  • How do you convert 1.66 into a fraction
    8·2 answers
  • One of two supplementary angles is five times the other. Find the angles. (Recall that supplementary angles are angles whose sum
    5·1 answer
  • The incenter of a triangle is also the center of
    5·2 answers
  • Compare the numbers 5/g and 0.5. Use the symbols &lt;, &gt;, or =
    13·1 answer
  • Please help I need help
    6·1 answer
  • <img src="https://tex.z-dn.net/?f=4b%20-%201%20%3D%20%20-%2013" id="TexFormula1" title="4b - 1 = - 13" alt="4b - 1 = - 13" ali
    11·1 answer
  • Find the volume of the cylinder
    11·1 answer
  • Four spheres of radius 6 cm just fit inside a cylinder.
    7·1 answer
  • When Souta went to Sweden, 1 Swedish krona was worth about 0.12 US
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!