Use the Gauss-Jordan elimination method to find all solutions of the systems of equations. 4x₁ + 3x₂ = 26 - 3x1 + 3x₂ = -9 6x₁27x2 = -24 C Write the system of equations as an augmented matrix. 4 3 26 -3 3 9 6 - 27 - 24 Solve the system. Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. A. The unique solution is x₁ = and X₂ = (Simplify your answers.) = B. The system has infinitely many solutions. The solution is x₁ and x₂ = t. (Simplify your answer. Type an expression using t as the variable.) C. 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.CT: Chapter Test
Problem 9CT
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23

Use the Gauss-Jordan elimination method to find all solutions of the systems of equations.
4x1
+ 3x₂ = 26
- 3x1
+ 3x₂ = -9
6x₁27x₂ - 24
Write the system of equations as an augmented matrix.
4
3 26
3
3 9
6 - 27
- 24
Solve the system. Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice.
O A. The unique solution is x₁ =
and X₂
=
(Simplify your answers.)
B. The system has infinitely many solutions. The solution is =
X₁ and X₂ = t.
(Simplify your answer. Type an expression using t as the variable.)
C. There is no solution.
Transcribed Image Text:Use the Gauss-Jordan elimination method to find all solutions of the systems of equations. 4x1 + 3x₂ = 26 - 3x1 + 3x₂ = -9 6x₁27x₂ - 24 Write the system of equations as an augmented matrix. 4 3 26 3 3 9 6 - 27 - 24 Solve the system. Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. O A. The unique solution is x₁ = and X₂ = (Simplify your answers.) B. The system has infinitely many solutions. The solution is = X₁ and X₂ = t. (Simplify your answer. Type an expression using t as the variable.) C. There is no solution.
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