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
Natali [406]
3 years ago
12

The following system has one solution: x = 2, y = −2, and z = 3. 4x − 2y + 5z = 27 Equation 1 x + y = 0 Equation 2 −x − 3y + 2z

= 10 Equation 3 (a) Solve the system provided by Equations 1 and 2. (If there is no solution, enter NO SOLUTION. If the system has an infinite number of solutions, express x, y, and z in terms of the parameter t.)
Mathematics
1 answer:
I am Lyosha [343]3 years ago
6 0

Answer:

x = t

y = -t

z = (17-6t)/5

Step-by-step explanation:

First we will write down Equation 1 and Equation 2

4x-2y+5z = 17------(1)

x + y = 0--------(2)

Since we are asked to express our answer in terms of the parameter t so lets suppose x = t and  y = -t

Now substitute the value of x and y in equation (1) we get

4(t) -2(-t) +5z = 17

6t + 5z = 17

5z = 17 -6t

z = (17-6t)/5

hence we get the following answer

x = t

y = -t

z= (17-6t)/5

we can also verify our answer by substituting the values of x ,y and z in any of the two equations above, for example lets substitute these values in equation 1

4(t) -2(-t) + 5((17-6t)/5)) = 17

6t + 17 -6t = 17

6t -6t = 17 -17

0 = 0

You might be interested in
1) A population of genetically modified
TiliK225 [7]
This is a linear equation or y=mx+c. Where y is the number of mosquitos at a particular month and x is the number of months. We know the initial population of the mosquitoes is c=20. They population doubles every month so this is the gradient, m=2. Therefore the equation for the growth of the mosquito population is:
y = 2x + 20.

So after x= 10 months the mosquito population will be,
y=2(10)+20= 40.

There will be 40 mosquitoes after ten months.
7 0
3 years ago
(3n^2+13n^3+5n)-(7n+4n^3)
Fantom [35]

Answer: n*(3n+2)*(3n-1)

Step-by-step explanation:

4 0
3 years ago
How do I find surface area of a triangular pyramid
emmasim [6.3K]

Use the formula SA=a+1/2ps

a=area of the base

p= perimeter of the base

s= slant height

3 0
3 years ago
Triangle ABCis rotated 90° clockwise around the origin to get
Elanso [62]

Answer:

The distance A’C’ is 4.47 units

Step-by-step explanation:

Before we go on, we need to get the appropriate transformation

Mathematically, we have a 90 degrees clockwise rotation yielding the following;

(x,y) to (-y,x)

A is (-4,1)

C is (-2,5)

By transforming, we have

A’( -1,-4)

C’ (-5,-2)

To get the magnitude of the line segment, we are going to use the distance formula between points

We have this as;

D = √(x2-x1)^2 + (y2-y1)^2

D = √(-5-(-1))^2 + (-2-(-4))^2

D = √(-4)^2 + (2)^2

D = √(16 + 4)

D = √20

D = 4.47 units

7 0
2 years ago
Solve. Check your answer. <br> -3/z + 7/4z = 5/z-25
Anastaziya [24]

[~Answer~] (3.):

Hello there! I'm Avery, and I'm here to help you! I mostly believe the answer <em>Could be: (the answer is in the screenshot. I couldn't write it, so I typed it.)  </em>

<em>
</em>+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
[~Answer Explanation~]:

1:

Combine multiplied terms into a single fraction

2:

Find common denominator

3:

Combine fractions with common denominator

4:

Multiply the numbers

5:

Re-order terms so constants are on the left

6:

Combine exponents

7:

Rearrange terms

8:

Find common denominator

9:

Combine fractions with common denominator

10:

Re-order terms so constants are on the left

11:

Rearrange terms

12:

Multiply all terms by the same value to eliminate fraction denominators

13:

Cancel multiplied terms that are in the denominator

14:

Distribute

15:

Move terms to the left side

16:

Distribute

17:

Subtract the numbers

18:

Rearrange terms

19:

Use the quadratic formula

20:

Simplify

21:

Separate the equations

22:

Solve

Answer:
z = \frac{-50 + 2\sqrt{681} }{7}

+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
[~Last Messages~]:

Okay, I really hope my answer is correct.

I am truly sorry if it's wrong :(

Have a great morning, afternoon, or night. <333

<u><em>[-!AveryIsSomeHowAlive!-}</em></u>

7 0
1 year ago
Other questions:
  • Need help with this questions please.
    15·2 answers
  • Amy wants to carpet a room that is 12 feet by 8 feet. How many square yards of carpet will she need to complete the room?
    8·1 answer
  • Can you answer this? <br> factorise 6p + 24q
    6·1 answer
  • The value of two numbers if their sum is 21 and their difference is 3
    8·2 answers
  • Verify sin4 x- sin2x = cos4x – cos2x is an identity
    11·1 answer
  • What is the simplified form of the quantity of x plus 5, all over 2 + the quantity of x plus 6, all over 2?
    15·1 answer
  • At a collector's fair, Jason sold six sports cards at $56 each and bought eight sports cards at $43 each. What was Jason's net p
    7·1 answer
  • PLEASE HELP DUE NOW Pentagon A'B'C'D' E' is the image of
    14·2 answers
  • What is 0.5 divided by 12.5
    7·2 answers
  • Write an equation that expresses the following relationship.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!