Solve. (Enter your answers as a comma-separated list. If there are infinitely many solutions, enter a parametric solution. If there is no solution, enter NONE.)2x + 2y + 2z = 166x + 6y + 6z = 413x + 3y + 4z = 31(x, y, z) =  Solve the following system of equations. (Enter your answers as a comma-separated list. If there are infinitely many solutions, enter a parametric solution using t and/or s. If there is no solution, enter NONE.)x1 − 2x2 + x3 = −12x1 + x2 − 2x3 = 1x1 + 3x2 − 3x3 = 2(x1, x2, x3) =

Question
Asked Sep 11, 2019
73 views

Solve. (Enter your answers as a comma-separated list. If there are infinitely many solutions, enter a parametric solution. If there is no solution, enter NONE.)

2x  +  2y  +  2z  =  16
6x  +  6y  +  6z  =  41
3x  +  3y  +  4z  =  31

(x, y, z) =

 

 

Solve the following system of equations. (Enter your answers as a comma-separated list. If there are infinitely many solutions, enter a parametric solution using t and/or s. If there is no solution, enter NONE.)

x1  −  2x2  +  x3  =  −1
2x1  +  x2  −  2x3  =  1
x1  +  3x2  −  3x3  =  2
(x1, x2, x3) =
check_circle

Expert Answer

Step 1
  1. Consider the equations as follows.
2x 2y 2z16
(1)
(2)
(3)
6x+6y62 41
3x 3y4 31
help_outline

Image Transcriptionclose

2x 2y 2z16 (1) (2) (3) 6x+6y62 41 3x 3y4 31

fullscreen
Step 2

Multiply equation (1) by –3 and add with equation (1).

—бх — бу—62 %3D -48
бх +6у+62 %3 41
Ох — 0у-0z 3-7
Since there is no value for x, y and z exist
The solution is NONE.
help_outline

Image Transcriptionclose

—бх — бу—62 %3D -48 бх +6у+62 %3 41 Ох — 0у-0z 3-7 Since there is no value for x, y and z exist The solution is NONE.

fullscreen
Step 3
  1. Consider the equations as foll...
(1)
-2x2+x1
(2)
(3)
2x1 23
3x23x2
help_outline

Image Transcriptionclose

(1) -2x2+x1 (2) (3) 2x1 23 3x23x2

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Algebra

Equations and In-equations

Related Algebra Q&A

Find answers to questions asked by student like you

Show more Q&A add
question_answer

Q: What is 1/-6+1/l over l+7/42 ?

A: LCD of the fractions in numerator= 6l We try to make same denominators for them and combine them.

question_answer

Q: How do I write quotient in lowest terms 28/3 + 7/12

A: The given expression is considered as,

question_answer

Q: "solve by making the appropriate solution" x4-2x2-8=0

A: We have to factor -8 so that sum of the factors =-2-8=-4 times 2And -4+2=-2So we write -2x^2 as -4x^...

question_answer

Q: solve the following system: x1+3x2-x4=7+x3 4x2+3x1=-5x4

A: This system of equations have infinite number of solution with two independent variables. Let us tak...

question_answer

Q: The area of a square is equal numerically to 14 more than 5 times the length of a side. Find the len...

A: Click to see the answer

question_answer

Q: How many symmetries does a regular n-gon have? (This means an n-sided polygon, all of whose sides ar...

A: We find number of symmetries of triangle, square, pentagon.

question_answer

Q: A store marks up a picture frame 70% from its wholesale price. In a clearance sale, the price is dis...

A: Given, a store marks up a picture frame 70% from its wholesale price. In a clearance sale, the price...

question_answer

Q: how do you find a degree of a polynomial?

A: To find the degree of the polynomial rewrite the polynomial in ascending or descending powers of the...

question_answer

Q: the easiest way to simplify the complex rational expression. (6+(1/x))/(36-(1/x^2))

A: We have to factor denominator first using a^2 - b^2 = (a+b)(a-b) formula. a=6 and b=1/x