Use the Gauss-Jordan elimination method to find all solutions of the system of linear equations. X- 7y + 4z = -3 8z = 8 14y + 8z = -8 - 2x + 14y 2x - Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. There is one solution. The solution is x = y = (Simplify your answer.) and z = B. There are infinitely many solutions. If z is any real number, x= (Type an expression using z as the variable.) O C. There is no solution. and y =

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter6: Systems Of Linear Equations And Inequalities
Section6.3: Elimination Using Addition And Subtraction
Problem 26PPS
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Use the Gauss-Jordan elimination method to find all solutions of the system of linear
equations.
X-
7y + 4z = -3
8z = 8
14y + 8z = -8
- 2x + 14y
2x
-
Select the correct choice below and, if necessary, fill in the answer boxes to complete your
choice.
O A. There is one solution. The solution is x = y =
(Simplify your answer.)
and z =
B. There are infinitely many solutions. If z is any real number, x=
(Type an expression using z as the variable.)
O C. There is no solution.
and y =
Transcribed Image Text:Use the Gauss-Jordan elimination method to find all solutions of the system of linear equations. X- 7y + 4z = -3 8z = 8 14y + 8z = -8 - 2x + 14y 2x - Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. There is one solution. The solution is x = y = (Simplify your answer.) and z = B. There are infinitely many solutions. If z is any real number, x= (Type an expression using z as the variable.) O C. There is no solution. and y =
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