Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 8 - Section 8.4 - Multiplicative Inverses of Matrices and Matrix Equations - Exercise Set - Page 932: 30

Answer

The linear system can be written as $\left[ \begin{matrix} 7 & 5 \\ 3 & 2 \\ \end{matrix} \right]$ $\left[ \begin{align} & x \\ & y \\ \end{align} \right]$ $=\left[ \begin{align} & 23 \\ & 10 \\ \end{align} \right]$

Work Step by Step

Consider the given system equations: $\begin{align} & 7x+5y=23 \\ & 3x+2y=10 \end{align}$ The linear system can be written as: $ AX=B $ $\left[ \begin{matrix} 7 & 5 \\ 3 & 2 \\ \end{matrix} \right]$ $\left[ \begin{align} & x \\ & y \\ \end{align} \right]$ $=\left[ \begin{align} & 23 \\ & 10 \\ \end{align} \right]$ Where, $ A=\left[ \begin{matrix} 7 & 5 \\ 3 & 2 \\ \end{matrix} \right]$ $ X=\left[ \begin{align} & x \\ & y \\ \end{align} \right]$ $ B=\left[ \begin{align} & 23 \\ & 10 \\ \end{align} \right]$
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