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: 24

Answer

same lines all are having the common point.

Work Step by Step

We will have to re-arrange the given equations as: $x+2y=3$ and $4x+8y=12$ Need to apply Cramer's Rule. $x=\dfrac{D_x}{D}$; $y=\dfrac{D_y}{D}$ Now, $D=\begin{vmatrix}1&2\\4&8\end{vmatrix}=8-8=0$; $D_x=\begin{vmatrix}3&2\\12&8\end{vmatrix}=0$; $D_y=\begin{vmatrix}1&3\\4&12\end{vmatrix}=0$ Hence, we get same lines all are having the common point.
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