Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 10 - 10.1 - Matrices and Systems of Equations - 10.1 Exercises - Page 710: 57

Answer

The system of equations is: x - y + 2z = 4 y - z = 2 z = -2 The variables are: x = 8 y = 0 z = -2

Work Step by Step

The matrix is represented by the following system of equations: x - y + 2z = 4 y - z = 2 z = -2 Using back substitution to solve the system: y - (-2) = 2 y + 2 = 2 y = 0 x - (0) + 2(-2) = 4 x = 8 The variables are: x = 8 y = 0 z = -2
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