Elementary Linear Algebra 7th Edition

Published by Cengage Learning
ISBN 10: 1-13311-087-8
ISBN 13: 978-1-13311-087-3

Chapter 1 - Systems of Linear Equations - 1.1 Introduction to Systems of Linear Equations - 1.1 Exercises: 28

Answer

There is one solution to the system. $x=6$ $y=2$ $z=2$

Work Step by Step

By dividing both sides of Equation 3 by 3, we can conclude that $z = 2$. Substituting this value into Equation 2 gives us the equation $2y + 2 = 6$. We can then solve this to conclude that $y = 2$. Substituting this value into Equation 1 gives us the equation $x - 2 = 4$. We can then solve this to conclude that $x=6$.
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