Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 3 - Section 3.3 - Systems of Linear Equations in Three Variables - Exercise Set - Page 215: 2



Work Step by Step

Our aim is to determine that whether the given ordered pair is a solution or not. In order to find this we will plug the given values of $x$ and $y$ , respectively. Plug $x=5,y=-3z=-1$ in the given ordered pair of equations. First equation: $x+y+z=0$ $5-3-1=0$ Thus, $0=0$ Second equation: $x+2y-3z=5$ $5-6+6=5$ Thus, $5=5$ Third equation: $3x+4y+2z=-1$ $15-12-4=-1$ Thus, $-1 =-1$ Hence, it is a solution.
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