Solve using Gauss-Jordan elimination. 2x, + 5x2 - 12x, = - 7 4x, + 37x, - 85xg = - 1 X, + 7x, - 16x3 = - 1 Select the correct choice below and fill in the answer box(es) within your choice. O A. The unique solution is x, =x2= and x, = !! The system has infinitely many solutions. The solution is x, =, X2 =0, and x3 =t OB. (Simplify your answers. Type expressions using t as the variable.) The system has infinitely many solutions. The solution is x, = O X2 = S, and x3 = t. OC. (Simplify your answer. Type an expression using s and t as the variables.) O D. There is no solution.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.2: Guassian Elimination And Matrix Methods
Problem 73E
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Solve using Gauss-Jordan elimination.
12x3 = -7
5x, -
37x,- 85x, = - 1
7x,- 16x, = - 1
X, +
Select the correct choice below and fill in the answer box(es) within your choice.
OA. The unique solution is x, =X2=U, and x, =
X2 =
and X3
%3D
The system has infinitely many solutions. The solution is x, =X2 =, and x3 =i
O B.
(Simplify your answers. Type expressions using t as the variable.)
.
%D
The system has infinitely many solutions. The solution is x, = | X2 =s, and x3 =t.
OC.
(Simplify your answer. Type an expression using s and t as the variables.)
O D. There is no solution.
Transcribed Image Text:Solve using Gauss-Jordan elimination. 12x3 = -7 5x, - 37x,- 85x, = - 1 7x,- 16x, = - 1 X, + Select the correct choice below and fill in the answer box(es) within your choice. OA. The unique solution is x, =X2=U, and x, = X2 = and X3 %3D The system has infinitely many solutions. The solution is x, =X2 =, and x3 =i O B. (Simplify your answers. Type expressions using t as the variable.) . %D The system has infinitely many solutions. The solution is x, = | X2 =s, and x3 =t. OC. (Simplify your answer. Type an expression using s and t as the variables.) O D. There is no solution.
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