Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 11 - Systems of Equations and Inequalities - 11.3 Systems of Linear Equations: Determinants - 11.3 Assess Your Understanding - Page 742: 24

Answer

Cramer's rule is not applicable.

Work Step by Step

Use zero for the missing variable. The given system of equations is $\left\{\begin{matrix} -x& +&2y&=&5\\ 4x& -&8y & =&6 \end{matrix}\right.$ Determinant $D$ consists of the $x$ and $y$ coefficients. $D=\begin{vmatrix} -1&2 \\ 4& -8 \end{vmatrix}=(-1)(-8)-(4)(2)=8-8=0$ We have $D=0$ hence, the Cramer's rule is not applicable.
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