Solve the system of equations. If the system has no solution, say that it is inconsistent. x + 2y - z = - 1 2х — 4y + z = - 11 - 2x + 12y - 5z = 19

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter9: Systems Of Linear Equations
Section9.7: Puzzle Problems
Problem 22P
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Solve the system of equations. If the system has no solution, say that it is inconsistent.
x + 2y-
z = - 1
2x - 4y +
z = - 11
- 2x + 12y -
5z = 19
Select the correct choice below and fill in any answer boxes within your choice.
O A. The solution of the system is x =
%3D
= z pue
(Simplify your answers.)
O B. There are infinitely many solutions. Using ordered triplets, the solution can be written as
{(x.y.z)*
(Simplify your answers. Type expressions using z as the variable as needed.)
O C. There are infinitely many solutions. Using ordered triplets, the solution can be written as (x,y,z)|x
(Simplify your answer. Type an expression using y and z as the variables as needed.)
O D. The system is inconsistent.
Transcribed Image Text:Solve the system of equations. If the system has no solution, say that it is inconsistent. x + 2y- z = - 1 2x - 4y + z = - 11 - 2x + 12y - 5z = 19 Select the correct choice below and fill in any answer boxes within your choice. O A. The solution of the system is x = %3D = z pue (Simplify your answers.) O B. There are infinitely many solutions. Using ordered triplets, the solution can be written as {(x.y.z)* (Simplify your answers. Type expressions using z as the variable as needed.) O C. There are infinitely many solutions. Using ordered triplets, the solution can be written as (x,y,z)|x (Simplify your answer. Type an expression using y and z as the variables as needed.) O D. The system is inconsistent.
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