Solve the following system of equations using the Gauss-Jordan method. - 10x - 15y-z=24 - 6x-25y-2z=61 8x + 15y + z = -28 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. A. This system has exactly one solution. The solution is (Type an exact answer in simplified form.) B. This system has infinitely many solutions of the form (Type expressions using z as the variable.) C. This system has no solution. z), where z is any real number.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter6: Systems Of Linear Equations And Inequalities
Section6.2: Substitution
Problem 34PFA
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Solve the following system of equations
using the Gauss-Jordan method.
- 10x - 15y-z=24
- 6x-25y-2z=61
8x + 15y + z = -28
Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.
A. This system has exactly one solution. The solution is
(Type an exact answer in simplified form.)
B. This system has infinitely many solutions of the form
(Type expressions using z as the variable.)
C. This system has no solution.
z), where z is any real number.
Transcribed Image Text:Solve the following system of equations using the Gauss-Jordan method. - 10x - 15y-z=24 - 6x-25y-2z=61 8x + 15y + z = -28 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. A. This system has exactly one solution. The solution is (Type an exact answer in simplified form.) B. This system has infinitely many solutions of the form (Type expressions using z as the variable.) C. This system has no solution. z), where z is any real number.
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