College Algebra (11th Edition)

Published by Pearson
ISBN 10: 0321671791
ISBN 13: 978-0-32167-179-0

Chapter 5 - Section 5.2 - Matrix Solution of Linear Systems - 5.2 Exercises - Page 499: 12

Answer

$x=4 \\ y=2 \\ z=3$

Work Step by Step

Each line represents an equation. The first three columns from the left represent the coefficients of $x, y, \text{ and } z$, respectively. The fourth column, which is to the right of the vertical line, represents the constant on the right-hand side of the equation Therefore, the system of equations can be expressed as: \begin{align*} 1x+(0)y+(0)z=4 \\ (0)x+(1)y+(0)z=2 \\(0)x+(0)y+(1)z=3 \end{align*} which when simplified becomes \begin{align*}x=4 \\ y=2 \\ z=3 \end{align*}
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