Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 4 - Section 4.2 - Solving Systems of Linear Equations in Three Variables - Exercise Set - Page 221: 45

Answer

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Work Step by Step

We know that a system of equations will be dependent if there are infinitely many solutions. While there are many examples of this, one example is: $x+y=z$ $2x+2y=2z$ $3x+3y=3z$ Note, there are a variety of equations for which there will be infinitely many solutions.
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