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
frutty [35]
1 year ago
9

Consider the given system of linear equations. 2x+y-z=8 x+4y+z=7 -3x+2y-3z=21

Mathematics
1 answer:
Naily [24]1 year ago
4 0

The system of equations has the solution:

x = 111/42

y = 27/14

z = -15/6

<h3></h3><h3>How to solve the system of linear equations?</h3>

We start with 3 linear equations:

2x+y-z=8

x+4y+z=7

-3x+2y-3z=21

To solve this, first we need to isolate one of the variables. I will isolate x on the second one:

x = 7 - 4y - z

Now we can replace that in the other two:

2*( 7 - 4y - z) + y - z = 8

-3*(7 - 4y - z) + 2y - 3z = 21

Now we need to isolate other variable, let's isolate y on the above one:

14 - 8y - 2z + y - z = 8

-7y - 3z = 8 - 14 = -6

z = (-6 + 7y)/-3 = 2 - (7/3)*y

Now we replace this on the last equation:

-21 + 12y -3z + 2y - 3z = 21

14y - 6z = 42

14y - 6*(2 - (7/3)*y) = 42

14y - 12 + 14y = 42

28y = 42 + 12 = 54

y = 54/28 = 27/14

Now that we know the value of y, we can find the value of z:

z = 2 - (7/3)*y = 2 - (7/3)*27/14 = 2 - 27/6 = -15/6

And the value of x:

x = 7 - 4y - z = 7 - 4*(27/14) + 15/6 = 7 - 48/7 + 15/6 = 111/42

So the solution is:

x = 111/42

y = 27/14

z = -15/6

If you want to learn more about systems of equations:

brainly.com/question/13729904

#SPJ1

You might be interested in
If a sample of 58 runners were taken from a population of 302 runners, could refer to the mean of how many runners' times?
IceJOKER [234]
The answer will be neither 58 nor 302 58 Both 58 and 302 or just 302
4 0
2 years ago
Read 2 more answers
Please help select both answers!!
krok68 [10]
I think it would be the first one? 2 units to the left of g(x).
5 0
3 years ago
Read 2 more answers
A jar contains 3/10 blue 2/10 white and 19/100 red marbles the rest are yellow what fraction represents the number of yellow?
andrew-mc [135]
31/100 represents the yellow marbles because 3/10 = 30/100, 2/10 = 20/100, and 19/100.It all adds up to 69/100 marbles.
5 0
3 years ago
- 5y – 10x=45<br>- 3y + 10x = -5​
Vsevolod [243]

Answer: y = -5; x = -2

Step-by-step explanation:

- 5y – 10x=45

- 3y + 10x = -5​

Combining both equations

-8y = 40

y= 40/ -8

y = -5

Substitute y = -5 into any of the equations to get the value of x

-5 (-5) - 10x = 45

25 -10× = 45

-10x =45 -25

-10× = 20

Divide both sides by -10

x = -2

Mark as brainliest please

4 0
3 years ago
Read 2 more answers
When constructing a polygon how can you be sure
ikadub [295]
Make sure it has eight sides
6 0
3 years ago
Read 2 more answers
Other questions:
  • Melissa and Joey enjoyed dinner at a restaurant. They paid the waiter $100.50 plus a 20% tip. How much did each person pay if th
    7·1 answer
  • Trying to do a question for my friend, can't quite figure it out though. Some help would be appreciated!
    15·1 answer
  • If 9 (x) = – 5x2 – 4x + 19 find f (–3)
    10·1 answer
  • Convert 18.5 into centimeters
    5·1 answer
  • 1. Layne rode his bike from Point A to B by
    7·1 answer
  • Suppose you put $150 in the bank for 2 years at a 3% simple annual interest rate. How much interest will you have earned at the
    9·2 answers
  • Solve the equation 14 = 14n
    14·1 answer
  • Which expressions are equivalent to 6x - 18 ?
    8·2 answers
  • Hey a ny on thiccccccccc
    8·2 answers
  • PLEASE HURRRY!!!!!!!!!!!!!
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!