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
kvasek [131]
4 years ago
15

8. Solve this system of equations

Mathematics
2 answers:
marishachu [46]4 years ago
4 0

Answer:

A) x = -1, y = 2, z = 3

Step-by-step explanation:

4x − 2y + 3z = 1

x + 3y − 4z = −7

3x + y +2z = 5

x = 4z - 3y - 7

4(4z - 3y - 7) - 2y + 3z = 1

19z - 14y = 29

3(4z - 3y - 7) + y + 2z = 5

14z - 8y = 26

7z - 4y = 13

y = (7z - 13)/4

19z -14(7z - 13)/4 = 29

-11z/2 = -33/2

z = 3

y = (21-13)/4 = 2

x = 4(3) - 3(2) - 7 = -1

Leya [2.2K]4 years ago
3 0

Answer:

A) x = − 1, y = 2, z = 3

Step-by-step explanation:

4x − 2y + 3z = 1

x + 3y − 4z = −7

3x + y +2z = 5

Lets eliminate x by multiplying the second equation by -4

4x − 2y + 3z = 1

-4x - 12y + 16z = 28

-----------------------------

-14y +19z = 29

Lets eliminate x by multiplying the second equation by -3

-3x + -9y +12z = 21

3x + y +2z = 5

---------------------------

          -8y +14z  =26

We now have 2 equations and 2 unknowns

-14y +19z = 29

-8y +14z = 26  Divide this by 2   = -4y +7z = 13

Multiplying the first equation by 4 and the second by -14

-56y +76z =116

56y -98z = -182

----------------------------

-22z =-66

Divide each side by -22

-22z/-22 = -66/-22

z=3

Now we need to find y

-14y +19z = 29

-14y +19(3) =29

-14y+ 57 = 29

-14y =29-57

-14y =-28

y =2

Now we need to find x

x + 3y − 4z = −7

x + 3(2) -4(3) =-7

x+6 -12 =-7

x-6 = -7

x = -1

You might be interested in
Which transformations will produce similar, but not congruent, figures?
navik [9.2K]
B) Parallelogram JKLM is translated and then dilated
as well as c
C) Parallelogram JKLM is dilated and translated

C is the best answer because is size is changing. In all the others nothing is changing except the position which remains congruent and similar but C does not . The sizes changes which makes them not congruent but still similar.
6 0
3 years ago
Read 2 more answers
Determine if 0.59136363636363636... is rational or irrational and give a reason for<br> your answer
Reil [10]

The number 0.59136363636363636... is an irrational numbers

<h3>How to determine the number type?</h3>

The number is given as:

Number = 0.59136363636363636...

The three dots at the end of the number implies that the numbe is a non-terminating decimal

All non-terminating decimal are irrational numbers

Hence, the number 0.59136363636363636... is an irrational numbers

Read more about irrational numbers at

brainly.com/question/11919233

#SPJ1

7 0
2 years ago
3(7x-1)=4x+6 please answer me at least two or three people ​
scoray [572]

Answer:

<h2>x = 9/17</h2>

Step-by-step explanation:

3(7x-1)=4x+6  distribute

21x - 3 = 4x + 6  combine similar terms

21x - 4x = 6 + 3  simplify

17x = 9

x = 9/17

8 0
3 years ago
Read 2 more answers
Convert 150 meters per second into miles per day
statuscvo [17]
 just divide it is simple bruh
3 0
3 years ago
59 and/or 60. Determine if the triangles are similar. If they are similar, find the scale factor from ABC to JKL.
navik [9.2K]

9514 1404 393

Answer:

  59) not similar

  60)

Step-by-step explanation:

59) The ratios of the side lengths shown cannot be reduced. They are different, so the triangles are not similar.

  7:8:12 ≠ 6:7:11

__

60) The side length ratios both reduce to 8:7:10, so the triangles are similar.

  ∆ABC ~ ∆JKL

The scale factor is LJ/CA = 25/20 = 5/4. (Multiplying ABC by 5/4 will give JKL.)

8 0
3 years ago
Other questions:
  • Simplify. 5,000<br> 25000
    13·1 answer
  • Let f(x) = 4x – 5 and g(x) = 3x + 7. find f(x) + g(x) and state its domain.
    5·1 answer
  • Figure out the pattern, fill in the blank square.
    6·1 answer
  • Farah made 28 out of 84 shots on a goal in a recent hockey season. Write her shots made out of shots attempted as a decimal
    11·1 answer
  • If y=1/4 when x=5, find y when x=7, given that y directly with x
    14·1 answer
  • Can you help me??????????
    15·1 answer
  • Please help the image is attached
    5·1 answer
  • Any got an answer for this math question?
    6·2 answers
  • Which of the following is equal to 287 ÷ 7?
    5·2 answers
  • Last Sunday 1,575 people visited the amusement park.
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!