Solve using augmented matrix methods. 3x₁ + 4x₂ = -8 2X1 x2 = -9 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. 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.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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33

**Solve using augmented matrix methods.**

\[ 
\begin{aligned}
    3x_1 + 4x_2 & = -8 \\
    2x_1 - x_2 & = -9 
\end{aligned}
\]

---

Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

- **A.** The unique solution is \(x_1 = \_\_\_\) and \(x_2 = \_\_\_\). *(Simplify your answers.)*
- **B.** The system has infinitely many solutions. The solution is \(x_1 = \_\_\_\) and \(x_2 = t\). *(Simplify your answer. Type an expression using \(t\) as the variable.)*
- **C.** There is no solution.
Transcribed Image Text:**Solve using augmented matrix methods.** \[ \begin{aligned} 3x_1 + 4x_2 & = -8 \\ 2x_1 - x_2 & = -9 \end{aligned} \] --- Select the correct choice below and, if necessary, fill in the answer box to complete your choice. - **A.** The unique solution is \(x_1 = \_\_\_\) and \(x_2 = \_\_\_\). *(Simplify your answers.)* - **B.** The system has infinitely many solutions. The solution is \(x_1 = \_\_\_\) and \(x_2 = t\). *(Simplify your answer. Type an expression using \(t\) as the variable.)* - **C.** There is no solution.
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