Algebra and Trigonometry 10th Edition

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

Chapter 9 - 9.3 - Multivariable Linear Systems - 9.3 Exercises - Page 659: 23


$x=4; y=1; z=2$

Work Step by Step

Add the first equation to equation $2$, then subtract equation 3 from equation $2$. The new system of equations is as follows: $x+y+z=7 \\ 3x+2z=16 \\3z=6$ The third equation yields $z=2$ Plug the value of $z$ into the second equation, giving: $x=4$ Now, we will plug the value of $x$ and $z$ into the first equation to get the value of $y$. $4+y+2=7 \\ \implies y=1$ Thus, $x=4; y=1; z=2$
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