## Algebra and Trigonometry 10th Edition

Published by Cengage Learning

# Chapter 10 - Review Exercises - Page 760: 12

#### Answer

$x=-38, y=8, z=-2$

#### Work Step by Step

Write the system of equations corresponding to the augmented matrix as follows: $x+3y-9z=4 \\ y-z =10 \\ z=-2$ Substitute the value of $z=-2$ in $y-z=10$ we get: $y+2=10 \implies y=8$ Now, $x+3(8)-9(-2)=4 \implies x=-38$ Therefore, $x=-38, y=8, z=-2$

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