If A = (a) (x, y) = (b) (x, y) = then A-1 = 4x - 7y = 44 3x - 5y = 32 - (-5 4x - 7y = -28 3x - 5y = -30 ([ 1) 3). Use this fact and the method of Example 2 to solve the following systems.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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If \( A = \begin{pmatrix} 4 & -7 \\ 3 & -5 \end{pmatrix} \), then \( A^{-1} = \begin{pmatrix} -5 & 7 \\ -3 & 4 \end{pmatrix} \). Use this fact and the method of Example 2 to solve the following systems.

(a)
\[
\begin{cases} 
4x - 7y = 44 \\
3x - 5y = 32 
\end{cases}
\]

\( (x, y) = \begin{pmatrix} \,\,\, \, \end{pmatrix} \)

(b)
\[
\begin{cases} 
4x - 7y = -28 \\
3x - 5y = -30 
\end{cases}
\]

\( (x, y) = \begin{pmatrix} \,\,\, \, \end{pmatrix} \)
Transcribed Image Text:If \( A = \begin{pmatrix} 4 & -7 \\ 3 & -5 \end{pmatrix} \), then \( A^{-1} = \begin{pmatrix} -5 & 7 \\ -3 & 4 \end{pmatrix} \). Use this fact and the method of Example 2 to solve the following systems. (a) \[ \begin{cases} 4x - 7y = 44 \\ 3x - 5y = 32 \end{cases} \] \( (x, y) = \begin{pmatrix} \,\,\, \, \end{pmatrix} \) (b) \[ \begin{cases} 4x - 7y = -28 \\ 3x - 5y = -30 \end{cases} \] \( (x, y) = \begin{pmatrix} \,\,\, \, \end{pmatrix} \)
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