Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 3 - Section 3.5 - Determinants and Cramer’s Rule - Exercise Set - Page 240: 23

Answer

inconsistent equations; parallel lines.

Work Step by Step

Need to apply Cramer's Rule. $x=\dfrac{D_x}{D}$; $y=\dfrac{D_y}{D}$ Now, $D=\begin{vmatrix}3&3\\2&2\end{vmatrix}=6-6=0$; $D_x=\begin{vmatrix}2&3\\3&2\end{vmatrix}=4-9=-5$; $D_y=\begin{vmatrix}3&2\\2&3\end{vmatrix}=9-4=5$ Thus, $x=\dfrac{-5}{0}$ and $y=\dfrac{5}{0}$ Hence,inconsistent equations; parallel lines.
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