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
Alenkasestr [34]
3 years ago
7

2x-5y+5z=-10 5x-4y+3z=-19 X-y+5z=17

Mathematics
1 answer:
yarga [219]3 years ago
5 0

Answer:

x = -125/71 , y = 448/71 , z = 356/71

Step-by-step explanation:

Solve the following system:

{2 x - 5 y + 5 z = -10 | (equation 1)

5 x - 4 y + 3 z = -19 | (equation 2)

x - y + 5 z = 17 | (equation 3)

Swap equation 1 with equation 2:

{5 x - 4 y + 3 z = -19 | (equation 1)

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

x - y + 5 z = 17 | (equation 3)

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

{5 x - 4 y + 3 z = -19 | (equation 1)

0 x - (17 y)/5 + (19 z)/5 = (-12)/5 | (equation 2)

x - y + 5 z = 17 | (equation 3)

Multiply equation 2 by 5:

{5 x - 4 y + 3 z = -19 | (equation 1)

0 x - 17 y + 19 z = -12 | (equation 2)

x - y + 5 z = 17 | (equation 3)

Subtract 1/5 × (equation 1) from equation 3:

{5 x - 4 y + 3 z = -19 | (equation 1)

0 x - 17 y + 19 z = -12 | (equation 2)

0 x - y/5 + (22 z)/5 = 104/5 | (equation 3)

Multiply equation 3 by 5:

{5 x - 4 y + 3 z = -19 | (equation 1)

0 x - 17 y + 19 z = -12 | (equation 2)

0 x - y + 22 z = 104 | (equation 3)

Subtract 1/17 × (equation 2) from equation 3:

{5 x - 4 y + 3 z = -19 | (equation 1)

0 x - 17 y + 19 z = -12 | (equation 2)

0 x+0 y+(355 z)/17 = 1780/17 | (equation 3)

Multiply equation 3 by 17/5:

{5 x - 4 y + 3 z = -19 | (equation 1)

0 x - 17 y + 19 z = -12 | (equation 2)

0 x+0 y+71 z = 356 | (equation 3)

Divide equation 3 by 71:

{5 x - 4 y + 3 z = -19 | (equation 1)

0 x - 17 y + 19 z = -12 | (equation 2)

0 x+0 y+z = 356/71 | (equation 3)

Subtract 19 × (equation 3) from equation 2:

{5 x - 4 y + 3 z = -19 | (equation 1)

0 x - 17 y+0 z = (-7616)/71 | (equation 2)

0 x+0 y+z = 356/71 | (equation 3)

Divide equation 2 by -17:

{5 x - 4 y + 3 z = -19 | (equation 1)

0 x+y+0 z = 448/71 | (equation 2)

0 x+0 y+z = 356/71 | (equation 3)

Add 4 × (equation 2) to equation 1:

{5 x + 0 y+3 z = 443/71 | (equation 1)

0 x+y+0 z = 448/71 | (equation 2)

0 x+0 y+z = 356/71 | (equation 3)

Subtract 3 × (equation 3) from equation 1:

{5 x+0 y+0 z = (-625)/71 | (equation 1)

0 x+y+0 z = 448/71 | (equation 2)

0 x+0 y+z = 356/71 | (equation 3)

Divide equation 1 by 5:

{x+0 y+0 z = (-125)/71 | (equation 1)

0 x+y+0 z = 448/71 | (equation 2)

0 x+0 y+z = 356/71 | (equation 3)

Collect results:

Answer: {x = -125/71 , y = 448/71 , z = 356/71

You might be interested in
The wheel in the adjacent figure has a radius of 61 feet. The clearance between the wheel and the ground is 11 feet. The rectang
Zanzabum
61 divide by 11 times 3
8 0
3 years ago
Angie is holding 20 coins, all of which are either dimes or quarters. They have a value of $4.10. Determine how many coins of ea
77julia77 [94]
16 quarters and one dime
6 0
2 years ago
Read 2 more answers
JL=83. if Jk=5x-4 &amp; KL=3x-1. <br> Then X=?
DIA [1.3K]

<em>Answer:</em>

<em>The answer is 83</em>

<em />

<em>Hope this helps:3</em>

<em />

4 0
3 years ago
What is the square root of twenty-five
AURORKA [14]
The square root of 25 would be 5!

Brainliest please? I am trying to get my rank to ace!
7 0
3 years ago
f(x)=2x. If g(x) is a vertical stretch, compression, and or reflection of f(x) followed by a, what is the equation of g(x)?
Montano1993 [528]

The function g(x) is g(x)= (3x)^2

<h3>How to solve for g(x)?</h3>

The complete question is in the image

From the graph in the image, we have:

f(x) = x^2

The function f(x) is stretched by a factor of 3 to form g(x).

This means that:

g(x) = f(3x)

So, we have:

g(x)= (3x)^2

Hence, the function g(x) is g(x)= (3x)^2

Read more about function transformation at:

brainly.com/question/10222182

#SPJ1

7 0
2 years ago
Other questions:
  • 7+a/3=5<br>A. -2<br>B. 3 <br>C. -6<br>D. 15<br>I need the answer​
    12·2 answers
  • If the value of x decreases by 6, how does the value of m(x + 9) change?
    10·2 answers
  • A farmer owns a 100 acre farm and plans to plant at most three crops. The seed for crops A,B, and C costs $40, $20, and $30 per
    15·1 answer
  • A rectangle has width of 2x2 - 3x + 1
    6·1 answer
  • Where is the answer to the expression 3 − 7 located on a horizontal number line
    9·2 answers
  • Which ordered pairs are solutions to the equation?
    7·1 answer
  • The length of a rectangle is seven units more than it's width if the width is doubled and the length is increased by two the are
    7·2 answers
  • What is the distance between 1st and 3rd base?
    15·1 answer
  • Plsss help meeee I need the answer!!
    11·1 answer
  • What is 12x + 24y in Distributive Property? :)<br><br> −
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!