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: 37

Answer

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Work Step by Step

To write the system, I first need to find three different equations that go through the point provided, (-1,2, -4). To do this, I will start with the equation: $$x+y=z$$ Then, I will change the coefficients in front of x, y, and z to get equations that will go through the given point. $$2x-y=z$$ $$-2y = z$$ $$10x-z=-3y$$ $$-2x+y=-z$$ Note, these are just a few options, so you can find numerous other correct answers.
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