Use the given inverse of the coefficient matrix to solve the following system. 1 1 TH A1 = - 3 - 7x₁ + 2x₂ - 6x₁ - 2x₂ = O A. x₁ = -6 - 3 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. and X2 = (Simplify your answers.) 7|2 B. 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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Use the given inverse of the coefficient matrix to solve the following system.

\[
\begin{align*}
7x_1 + 2x_2 &= -6 \\
-6x_1 - 2x_2 &= -3 \\
\end{align*}
\]

\[
A^{-1} = 
\begin{bmatrix}
1 & 1 \\
-3 & -\frac{7}{2} \\
\end{bmatrix}
\]

---

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

- A. \( x_1 = \) [  ] and \( x_2 = \) [  ] (Simplify your answers.)
  
- B. There is no solution.
Transcribed Image Text:Use the given inverse of the coefficient matrix to solve the following system. \[ \begin{align*} 7x_1 + 2x_2 &= -6 \\ -6x_1 - 2x_2 &= -3 \\ \end{align*} \] \[ A^{-1} = \begin{bmatrix} 1 & 1 \\ -3 & -\frac{7}{2} \\ \end{bmatrix} \] --- Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. - A. \( x_1 = \) [ ] and \( x_2 = \) [ ] (Simplify your answers.) - B. There is no solution.
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