Solve the following system of equations using the Gauss-Jordan method. - 15x-6y- z= - 30 - 9x- 10y - 2z= - 3 12x + 6y + z=21

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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Solve the following system of equations
using the Gauss-Jordan method.
15x-6y- z=-30
9x-10y-2z= -3
12x+6y+ z-21
Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.
O A. This system has exactly one solution. The solution is ( UUD
(Type an exact answer in simplified form.)
O B. This system has infinitely many solutions of the form ( z), where z is any real number.
(Type expressions using z as the variable.)
O C. This system has no solution.
Transcribed Image Text:Solve the following system of equations using the Gauss-Jordan method. 15x-6y- z=-30 9x-10y-2z= -3 12x+6y+ z-21 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. This system has exactly one solution. The solution is ( UUD (Type an exact answer in simplified form.) O B. This system has infinitely many solutions of the form ( z), where z is any real number. (Type expressions using z as the variable.) O C. This system has no solution.
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