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
asambeis [7]
3 years ago
7

Solve the following 3 × 3 system. Enter the coordinates of the solution below.

Mathematics
1 answer:
ICE Princess25 [194]3 years ago
6 0

Step-by-step explanation:

2x - 3y - 2z = 4

[2] x + 3y + 2z = -7

[3] -4x - 4y - 2z = 10

Solve by Substitution :

// Solve equation [2] for the variable x

[2] x = -3y - 2z - 7

// Plug this in for variable x in equation [1]

[1] 2•(-3y-2z-7) - 3y - 2z = 4

[1] - 9y - 6z = 18

// Plug this in for variable x in equation [3]

[3] -4•(-3y-2z-7) - 4y - 2z = 10

[3] 8y + 6z = -18

// Solve equation [3] for the variable z

[3] 6z = -8y - 18

[3] z = -4y/3 - 3

// Plug this in for variable z in equation [1]

[1] - 9y - 6•(-4y/3-3) = 18

[1] - y = 0

// Solve equation [1] for the variable y

[1] y = 0

// By now we know this much :

x = -3y-2z-7

y = 0

z = -4y/3-3

// Use the y value to solve for z

z = -(4/3)(0)-3 = -3

// Use the y and z values to solve for x

x = -3(0)-2(-3)-7 = -1

Solution :

{x,y,z} = {-1,0,-3}

You might be interested in
Consider the game of rock-paper-scissors to be an experiment. In the long run, roommate A chooses rock 62% of the time, and room
tekilochka [14]

Answer:

Relative frequency method

Step-by-step explanation:

Relative Frequency is a classical approach to probability. It is the ratio of the occurrence of a singular event to the total number of outcomes. This is a tool that is often used after data collection.

In relative frequency, a single part of the data can be compared to the total amount of data collected. This is cleearly observed in the given question.

7 0
3 years ago
Can someone please answer this! I will give BRAINLIEST for the best answer I get. The photo below has the question, so please an
Nadya [2.5K]

Answer:

453.73cm³

Step-by-step explanation:

V

=

π

r

2

h

3

3.14×8.5²×6/3=453.73

5 0
3 years ago
The 2-minute-and-43-second song “You’re Welcome” from the movie Moana has been used in more than 3,000 videos. What percent of t
katrin [286]
Go do your zoom meeting bruh
3 0
3 years ago
Consider the two graphs above.
Mariulka [41]

Answer:

B. Graph 2 represents a proportional relationship, but graph 1 does not.

Step-by-step explanation:

All proportional relationships pass through the origin. Graph 2 does but Graph 1 does not. Additionaly, Graph 2 is a straight line that represents a proportional relationship. Another way to find out if it is proportional is to find the constant of proportionality by dividing the y by the x in different parts of the line. The numbers should all have the same constant of proportionality.

Examples (all found in Graph 2):

15/3 = 5

10/2 = 5

5/1 = 5

7 0
3 years ago
Read 2 more answers
Can someone please help on number 20? WILL MARK YOU AS BRAINIEST. (can you also show how you do the problem?) :(
PSYCHO15rus [73]

Answer:

x =(22-√196)/6=(11-7)/3= 1.333

Step-by-step explanation:

(3x2 -  22x) +  24  = 0

The first term is,  3x2  its coefficient is  3 .

The middle term is,  -22x  its coefficient is  -22 .

The last term, "the constant", is  +24

Step-1 : Multiply the coefficient of the first term by the constant   3 • 24 = 72

Step-2 : Find two factors of  72  whose sum equals the coefficient of the middle term, which is   -22 .

     -72    +    -1    =    -73

     -36    +    -2    =    -38

     -24    +    -3    =    -27

     -18    +    -4    =    -22    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -18  and  -4

                    3x2 - 18x - 4x - 24

Step-4 : Add up the first 2 terms, pulling out like factors :

                   3x • (x-6)

             Add up the last 2 terms, pulling out common factors :

                   4 • (x-6)

Step-5 : Add up the four terms of step 4 :

                   (3x-4)  •  (x-6)

            Which is the desired factorization

Equation at the end of step 2:

 (x - 6) • (3x - 4)  = 0

STEP 3:

Theory - Roots of a product

3.1    A product of several terms equals zero.

When a product of two or more terms equals zero, then at least one of the terms must be zero.

We shall now solve each term = 0 separately

In other words, we are going to solve as many equations as there are terms in the product

Any solution of term = 0 solves product = 0 as well.

5 0
3 years ago
Other questions:
  • What is 3.6+2.5+1.2=?
    15·1 answer
  • What divides an angle into two congruent angles?
    12·2 answers
  • State whether the following sentences are true or false.
    9·1 answer
  • 1. Is the function linear or nonlinear?
    13·1 answer
  • Which number is not an solution to the inequality?<br> x &lt; 15
    14·1 answer
  • Which expression can be used to represent the volume of this prism?
    5·2 answers
  • Our math class is having a field trip . The ratio of boys to girls joining the field trip is 11:4.​
    12·1 answer
  • Solve the word problem and show your work.<br><br>I need help
    15·1 answer
  • Miguel Sebring took out a loan for $5,000 at 9.5% exact interest for 90 days. How much interest will Miguel pay?
    9·1 answer
  • Write −12 as a ratio of two integers.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!