## Precalculus (6th Edition) Blitzer

Published by Pearson

# Chapter 8 - Section 8.5 - Determinants and Cramer's Rule - Exercise Set - Page 947: 70

#### Answer

The provided statement does not make any sense.

#### Work Step by Step

The provided statement doesn’t make any sense. Example: Consider the provided linear system in two variables, \begin{align} & -7x+14y=1 \\ & 2x-4y=2 \end{align} So, \begin{align} & D=\left| \begin{matrix} -7 & 14 \\ 2 & -4 \\ \end{matrix} \right| \\ & =-7(-4)-14\cdot 2 \\ & \text{ =28-28} \\ & \text{=0} \end{align} Here, even though the variables are non-zero, the determinant is zero. If D = 0, the system is inconsistent or contains dependent equations. Use a method other than Cramer’s Rule to determine the solution set. For systems in two variables, we use the substitution method or the addition method. For systems in three variables, use Gaussian elimination.The provided statement does not make any sense.

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