Use the Gauss-Jordan method to solve the system of equations. If the system has infinitely many solutions, give the solution with z arbitrary. x+y - 3z = - 17 3x - 3y + 4z = 19 x + 3y - 2z = - 19 Select the correct choice below and fill in any answer boxes within your choice. A. There is one solution. The solution set is {( . )} (Simplify your answers.) O B. There are infinitely many solutions. The solution set is {( z)}, where z is any real number. (Simplify your your answers. Type expressions using z as the variable.) O C. The system is inconsistent. The solution set is ø.

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
Section9.3: Solving Problems With Two Variables
Problem 6OE
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Use the Gauss-Jordan method to solve the system of equations. If the system has infinitely many solutions, give the solution with z arbitrary.
x +y - 3z = - 17
3x - 3y + 4z = 19
x+ 3y - 2z = - 19
Select the correct choice below and fill in any answer boxes within your choice.
O A. There is one solution. The solution set is {( )}.
(Simplify your answers.)
O B. There are infinitely many solutions. The solution set is {( z)}, where z is any real number.
(Simplify your your answers. Type expressions using z as the variable.)
O C. The system is inconsistent. The solution set is Ø.
Transcribed Image Text:Use the Gauss-Jordan method to solve the system of equations. If the system has infinitely many solutions, give the solution with z arbitrary. x +y - 3z = - 17 3x - 3y + 4z = 19 x+ 3y - 2z = - 19 Select the correct choice below and fill in any answer boxes within your choice. O A. There is one solution. The solution set is {( )}. (Simplify your answers.) O B. There are infinitely many solutions. The solution set is {( z)}, where z is any real number. (Simplify your your answers. Type expressions using z as the variable.) O C. The system is inconsistent. The solution set is Ø.
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