Solve using Gauss-Jordan elimination. X1 - X2 + 3x3 + 3x4 = - 1.1 - 4x, + 6x2 - 7x3 - 22x4 = 14.3 3x, - X2 + 12x3 + 4x, - 3x2 + 8x3+ 15x4 = - 8.3 %3D X4 = 4.2 Select the correct choice below and fill in the answer box(es) within your choice. The unique solution is x, =| O A. (Simplify your answers.) and x4 The system has infinitely many solutions. The solution is x, = , X2 = X3 = and x4 =t. О в. (Simplify your answers. Type expressions using t as the variable.) The system has infinitely many solutions. The solution is x, =, x2 = OC. (Simplify your answers. Type expressions using s and t as the variables.) X3 = s, and x4 = t. O D. There is no solution.

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
Section9.4: The Addition-or-subtraction Method
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Solve using Gauss-Jordan elimination.
X1 - X2 + 3x3 + 3x4 = - 1.1
- 4x1 + 6x2 - 7x3 - 22x4 = 14.3
3x, - X2 + 12x3 +
4x1 - 3x2 + 8x3 + 15x4 = - 8.3
X4 = 4.2
Select the correct choice below and fill in the answer box(es) within your choice.
The unique solution is x, =
X2
X3 =
and x4
OA.
(Simplify your answers.)
The system has infinitely many solutions. The solution is x, =
В.
(Simplify your answers. Type expressions using t as the variable.)
X2 =
X3
and x4 = t.
The system has infinitely many solutions. The solution is x, =, x2 =
X3 = s, and x4 = t.
(Simplify your answers. Type expressions using s and t as the variables.)
D. There is no solution.
Transcribed Image Text:Solve using Gauss-Jordan elimination. X1 - X2 + 3x3 + 3x4 = - 1.1 - 4x1 + 6x2 - 7x3 - 22x4 = 14.3 3x, - X2 + 12x3 + 4x1 - 3x2 + 8x3 + 15x4 = - 8.3 X4 = 4.2 Select the correct choice below and fill in the answer box(es) within your choice. The unique solution is x, = X2 X3 = and x4 OA. (Simplify your answers.) The system has infinitely many solutions. The solution is x, = В. (Simplify your answers. Type expressions using t as the variable.) X2 = X3 and x4 = t. The system has infinitely many solutions. The solution is x, =, x2 = X3 = s, and x4 = t. (Simplify your answers. Type expressions using s and t as the variables.) D. There is no solution.
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