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
Gala2k [10]
3 years ago
12

Solve the following system of equations using the

Mathematics
1 answer:
ikadub [295]3 years ago
5 0

Answer:

x = 3, y = - 1, z = 1

Step-by-step explanation:

listing the coefficients

1   - 2   1   6 ← R1

3    1    - 1  7 ← R2

4   - 1     2   15 ← R3

We require the first entry in R2 to be 0 while retaining R1 and the first 2 entries of R3 to be 0, thus

R2 - 3R1 and R3 - 4R1

1   - 2   1    6 ← R1

0    7   - 4  - 11 ← R2  

0    7    - 2  - 9 ← R3

Now R3 - R2

1    - 2    1     6 ← R1

0     7   - 4   - 11 ← R2

0    0      2    2 ← R3

From R3

2z = 2 ⇒ z = 1

Substitute z = 1 into R2

7y - 4(1) = - 11

7y - 4 = - 11 ( add 4 to both sides )

7y = - 7 ⇒ y = - 1

Substitute y = - 1, x = 1 into R1

x - 2(- 1) + 1 = 6

x + 2 + 1 = 6

x + 3 = 6 ( subtract 3 from both sides )

x = 3

Solution is (3, - 1, 1 )

You might be interested in
A rocket is launched at the rate of 11 feet per second from a point on the ground 15 feet from an observer. To 2 decimal places
iragen [17]
Let the angle of elevation is x and the height of the rocket from the ground is y

tanx = y/15

by differentiating both sides with respect to T

sec²x·dx/dt = (dy/dt)/15

at y = 30 , the hypotenuse of the triangle = 15√5

sec²x=(15√5/15)²=5

5 dx/dt = 11/15

dx/dt = 11/75 rad/sec
3 0
3 years ago
Read 2 more answers
What is the area of the enlarged trapezoid?
ludmilkaskok [199]
1.5 but I could be wrong I would double check
6 0
3 years ago
What's the sum of 3/4 and 18/19
melomori [17]
The answer would be 1.69736842105 but usually you have to round it to the hundredths so the answer is 1.70.

hope this answer helps! feel free to ask any additional questions :)
3 0
3 years ago
Read 2 more answers
Multiply :-4 4\2 •2 6\5 and write the result in simplest form.....
atroni [7]
What i like to do is, start with (),
-4(4/2) x 2(6/5) 
then pemdas
so p is first
-4(2) x 2(1.2)
then multiply
-8 x 2.4
that equals
=-19.2
7 0
3 years ago
Beach ball has a diameter of 10 in what is the volume of air contained inside the beach ball
kicyunya [14]
The formula for volume of a sphere is \frac{4}{3}  \pi r^{3}
To get radius from diameter, we must divide it by 2. 10/2=5, meaning the radius is 5 in.
Now, we just need to plug the values into the equation.
\frac{4}{3}  \pi 5^{3} =  \frac{4}{3}  \pi 125 = 166.67 \pi = 523.61 in^{3}
5 0
3 years ago
Read 2 more answers
Other questions:
  • Fred Buys a signed shirt for £25 and sells it for £40. What is the percentage profit? explaination please?
    15·2 answers
  • There were 32 volunteers to donate blood. Unfortunately, n of the volunteers did not meet the health requirements, so they could
    7·1 answer
  • Chris goes to Matt's hamburger store to buy an hamburger. Each hamburger must contain exactly one bread, one lettuce, one cheese
    13·1 answer
  • A shipping company charges per cubic inch to ship a package. Which of the boxes is the MOST expensive to ship. Please see attach
    5·2 answers
  • How do i order 0.5,0.41,3/5 from least to greatest
    13·1 answer
  • At a regional soccer​ tournament, tickets for two adults and seven students cost ​$42. Tickets for three adults and eleven stude
    6·1 answer
  • A data set is shown below. Which is the outlier? 56, 64, 73, 59, 98, 65, 59.
    14·1 answer
  • <img src="https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdx%7D%20%282%5Ex%29%3D%5C%5C" id="TexFormula1" title="\frac{d}{dx} (2^x)=\\"
    7·1 answer
  • I need help I will give brainliest
    7·1 answer
  • Michael and Zach are sharing a pizza. Michael ate 58 of the pizza, while Zach ate 14 of the pizza. How much more pizza did Micha
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!