Solve using augmented matrices. 2x₁ + 2x₂ = 10 X₁ x2 = - 3 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The unique solution is = 5X₁ and X₂= and X2 = t. B. The system has infinitely many solutions. The solution is x₁ = (Simplify your answer. Type an expression using t as the variable.) O 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 10CT
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Solve using augmented matrices.
2x₁ + 2x₂ = 10
X₁ x2 =
-
3
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The unique solution is
=
5X₁
and X₂=
and X2
= t.
B. The system has infinitely many solutions. The solution is x₁ =
(Simplify your answer. Type an expression using t as the variable.)
OC. There is no solution.
Transcribed Image Text:Solve using augmented matrices. 2x₁ + 2x₂ = 10 X₁ x2 = - 3 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The unique solution is = 5X₁ and X₂= and X2 = t. B. The system has infinitely many solutions. The solution is x₁ = (Simplify your answer. Type an expression using t as the variable.) OC. There is no solution.
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