Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 3 Linear Systems and Matrices - 3.8 Use Inverse Matrices to Solve Linear Systems - 3.8 Exercises - Skill Practice - Page 214: 16


$$X=\begin{pmatrix}\frac{19}{6}&\frac{7}{6}\\ \frac{29}{12}&\frac{5}{12}\end{pmatrix}$$

Work Step by Step

Isolating X by taking the inverse of the matrix, we find: $$\begin{pmatrix}-3&6\\ 1&2\end{pmatrix}X=\begin{pmatrix}5&-1\\ 8&2\end{pmatrix} \\ X=\begin{pmatrix}-3&6\\ 1&2\end{pmatrix}^{-1}\begin{pmatrix}5&-1\\ 8&2\end{pmatrix} \\ X=\begin{pmatrix}\frac{19}{6}&\frac{7}{6}\\ \frac{29}{12}&\frac{5}{12}\end{pmatrix}$$
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