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 - 11.1 Systems of Linear Equations: Substitution and Elimination - 11.1 Assess Your Understanding - Page 715: 18

Answer

We can verify the equations by substituting in the given $x$, $y$ and $z$ values and then check if the equalities still hold. Here: $4x-5z=4(4)-5(2)=16-10=6$, which is correct. $5y-z=5(-3)-2=-15-2=-17$, which is correct. $-x-6y+5z=-4-6(-3)+5(2)=-4+18+10=25$, which is correct.

Work Step by Step

We can verify the equations by substituting in the given $x$, $y$ and $z$ values and then check if the equalities still hold. Here: $4x-5z=4(4)-5(2)=16-10=6$, which is correct. $5y-z=5(-3)-2=-15-2=-17$, which is correct. $-x-6y+5z=-4-6(-3)+5(2)=-4+18+10=25$, which is correct.
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