College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 5, Systems of Equations and Inequalities - Section 5.2 - Systems of Linear Equations in Several Variables - 5.2 Exercises - Page 455: 29

Answer

Linear system is Inconsistent.

Work Step by Step

$\begin{cases} x+2y-z=1\\ 2x+3y-4z=-3\\ 3x+6y-3z=4 \end{cases}$ Multiplying Equation 1 by -3 and adding it to Equation 3. $\begin{cases} -3x-6y+3z=-3\\ 3x+6y-3z=4\\ -- -- -- --\\ 0=1 \end{cases}$ Therefore, linear system is Inconsistent.
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