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: 34

Answer

The linear system can be written as: $3x=6$ $-3x+y=-7$
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Work Step by Step

Now, compare the coefficients with the provided matrix $\begin{align} & {{a}_{1}}=3 \\ & {{a}_{2}}=-3 \\ & {{b}_{1}}=0 \\ & {{b}_{2}}=1 \end{align}$ And $\begin{align} & {{c}_{1}}=6 \\ & {{c}_{2}}=-7 \end{align}$ Substitute the values in the linear equation to get, $\begin{align} & {{a}_{1}}x+{{b}_{1}}y={{c}_{1}} \\ & {{a}_{2}}x+{{b}_{2}}y={{c}_{2}} \\ \end{align}$ So, $\begin{align} & 3x=6 \\ & -3x+y=-7 \end{align}$
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