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: 33

Answer

The linear system can be written as: $\begin{align} & 4x-7y=-3 \\ & 2x-3y=1 \end{align}$
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Work Step by Step

Now, compare the coefficients with the provided matrix $\begin{align} & {{a}_{1}}=4 \\ & {{a}_{2}}=2 \\ & {{b}_{1}}=-7 \\ & {{b}_{2}}=-3 \end{align}$ And $\begin{align} & {{c}_{1}}=-3 \\ & {{c}_{2}}=1 \end{align}$ Substituting the values in the linear equation we get, $\begin{align} & {{a}_{1}}x+{{b}_{1}}y={{c}_{1}} \\ & {{a}_{2}}x+{{b}_{2}}y={{c}_{2}} \\ \end{align}$ So, $\begin{align} & 4x-7y=-3 \\ & 2x-3y=1 \end{align}$
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