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
rodikova [14]
3 years ago
12

Find the solution set (x,y,z) of the system: 3x-2y+4z=6 2y-3z=20 6z=12

Mathematics
1 answer:
gizmo_the_mogwai [7]3 years ago
4 0

Answer:

The solution is x = 8, y = 13 and z = 2.

Step-by-step explanation:

We are given a system of equations with the variables x, y, and z from which we have to solve for x, y, and z.

The equations are

3x - 2y + 4z = 6 ........ (1)

2y - 3z = 20 .......... (2)

6z = 12 ......... (3)

Now, from equation (3),  we get z = 2.

Now, putting z = 2 in equation (2) we get

2y = 20 + 6 = 26  

⇒ y = 13

Now, from equation (1), putting y = 13 and z = 2, we get  

3x = 6 - (4 × 2) + (2 × 13) = 24

⇒ x = 8

So the solution is x = 8, y = 13 and z = 2. (Answer)

You might be interested in
Mai can type 27 words in 9 minutes. What is her rate in words per minute?
Free_Kalibri [48]
3. Cause 27/9=3. Hope this helps :)
5 0
3 years ago
Read 2 more answers
Which symbol makes the following TRUE?
olchik [2.2K]

Option A:

6 – 4(3) < 5 – 10

Solution:

Given expression is 6 – 4(3) ____ 5 – 10.

Let us first simplify the expression.

Take left side expression.

⇒ 6 – 4(3)

⇒ 6 – 12

⇒ –6

Take right side expression.

⇒ 5 – 10

⇒ –5

To find which symbol makes the expression true.

In negative the highest number is the lowest in value.

–6 < –5

⇒ 6 – 4(3) < 5 – 10

Option A is the correct answer.

Hence 6 – 4(3) < 5 – 10.

8 0
3 years ago
Simplify h^6 x h ASAP please
ozzi

Answer:1/2

Step-by-step explanation:

8 0
3 years ago
 MAXIMUM POINT WILL BE GIVEN!!! I NEED THIS RN!!!!!!!!!!!!!!!!!!!!!!!!!
Lemur [1.5K]

Answer:

Part a) The variables are

x (the number of packages of Twinkies that were sold)

y (the number o boxes of juice that were sold)

Part b) The system of equations is

x+y=79 and 1.65x+1.36y=118.17

Part c) x=37,y=42

Part d) The value of y represent the number of boxes of juice that were sold y=42\ boxes\ of\ juice

The value of x represent the number of packages of Twinkies that were sold x=37\ packages\ of\ Twinkies

Step-by-step explanation:

Part a) Define the variables in this situation

Let

x-----> the number of packages of Twinkies that were sold

y----> the number of boxes of juice that were sold

Part b) Write a system of equations that model the problem

we know that

x+y=79 ------> equation A  

1.65x+1.36y=118.17 ---> equation B

Part c) Use the linear combination method to find the solution to the system you wrote in part b

Multiply equation A by -1.65

-1.65(x+y)=-1.65*79  

-1.65x-1.65y=-130.35 ------> equation C

Adds equation C and equation B

-1.65x-1.65y=-130.35\\1.65x+1.36y=118.17\\---------\\-1.65y+1.36y=-130.35+118.17\\-0.29y=-12.18\\y=42

Find the value of x

x+y=79

x+42=79

x=79-42=37

Part d) Using a complete sentence, explain what the solution found in part c represents

The value of y represent the number of boxes of juice that were sold

so

y=42\ boxes\ of\ juice

The value of x represent the number of packages of Twinkies that were sold

so

x=37\ packages\ of\ Twinkies

7 0
3 years ago
Under certain conditions, sound travels at approximately 1080 feet per second.
Reil [10]
As Mifc8 said, one can easily do 1.7*1080=1836 feet.
7 0
3 years ago
Other questions:
  • Value of 8 power of -3
    11·1 answer
  • 11.
    12·2 answers
  • Twelve students were asked how long they spent doing homework last week. The scatter plot shows the results of the survey.
    8·1 answer
  • Find the length of the unknown side. Round your answer to the nearest whole number. (4 points) Image of a right triangle with le
    6·1 answer
  • club a raised $168 by washing 42 cars. club b raised $152 by washing 38 cars. are these fundraising rates equivalent ? explain y
    15·1 answer
  • LAST ONE PLEASE HELP. I WILL MARK AS BRAINLIEST.
    5·2 answers
  • Moon Corp. has a required return on debt of 10 percent, a required return on equity of 18
    10·1 answer
  • Please help asap!
    6·2 answers
  • Find the measure of 0. Round answer to the nearest tenth. Pleas help
    12·1 answer
  • Solve the inequality and graph the solution.<br><br> 13d+16&gt; -10
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!