Solve using Gauss-Jordan elimination. 2x₁2x₂ + 5x3 = - 19 4x₁20x2 48x3 = 72 X₁ + 3x2 - 7x3 = 9 Write the system of equations as an augmented matrix. 2 - 2 5 - 19 4 20 - 48 72 1 3 -7 9 Solve the system. Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. = = X₂= and x3 = O A. The unique solution is x₁ (Simplify your answers.) x₂ =, and x3 = t. B. The system has infinitely many solutions. The solution is x₁ = (Simplify your answers. Type expressions using t as the variable.) C. The system has infinitely many solutions. The solution is x₁ = ₁ X₂ = s, and x3 = t. (Simplify your answer. Type an expression using s and t as the variables.) D. There is no solution.
Solve using Gauss-Jordan elimination. 2x₁2x₂ + 5x3 = - 19 4x₁20x2 48x3 = 72 X₁ + 3x2 - 7x3 = 9 Write the system of equations as an augmented matrix. 2 - 2 5 - 19 4 20 - 48 72 1 3 -7 9 Solve the system. Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. = = X₂= and x3 = O A. The unique solution is x₁ (Simplify your answers.) x₂ =, and x3 = t. B. The system has infinitely many solutions. The solution is x₁ = (Simplify your answers. Type expressions using t as the variable.) C. The system has infinitely many solutions. The solution is x₁ = ₁ X₂ = s, and x3 = t. (Simplify your answer. Type an expression using s and t as the variables.) D. There is no solution.
Chapter7: Matrices And Determinants
Section: Chapter Questions
Problem 15T: One hundred liters of a 50% solution is obtained by mixing a 60% solution with a 20% solution. Use a...
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Transcribed Image Text:Solve using Gauss-Jordan elimination.
2x2 + 5x3 = - 19
2x1
4x₁20x₂ 48x3 = 72
X₁ + 3X2 -
7x3 =
9
Write the system of equations as an augmented matrix.
2
- 2 5 - 19
4
20 - 48
72
1
3 -7 9
Solve the system. Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice.
=
, X₂ =, and x₂ =
A.
The unique solution is X₁
(Simplify your answers.)
and x3 = t.
B.
The system has infinitely many solutions. The solution is x₁ = x₂ =
(Simplify your answers. Type expressions using t as the variable.)
=
C.
The system has infinitely many solutions. The solution is x₁
X₂ = S,
(Simplify your answer. Type an expression using s and t as the variables.)
D. There is no solution.
and x3 = t.
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