Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 7 - Section 7.1 - Systems of Linear Equations in Two Variables - Exercise Set - Page 823: 115

Answer

The ordered triple $\left( x,y,z \right)$ satisfies the equation $2x-y+4z=-8$

Work Step by Step

It is provided that: $x=3,y=2\text{ and }z=-3\ $ And we must satisfy the equation $2x-y+4z=-8$ Now, put the values of x, y and z in the equation, $\begin{align} & 2\left( 3 \right)-\left( 2 \right)+4\left( -3 \right)=-8 \\ & 6-2-12=-8 \\ & 6-14=-8 \\ & -8=-8 \end{align}$ Thus, the ordered triple $\left( x,y,z \right)$ satisfies the equation $2x-y+4z=-8$
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