Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 13 - Cumulative Review - Page 969: 29

Answer

$(-4, 2, -1)$

Work Step by Step

$3x-y+z=-15$ $x+2y-z=1$ $2x+3y-2z=0$ $3x-y+z=-15$ $x+2y-z=1$ $3x-y+z+x+2y-z=-15+1$ $4x+y=-14$ $3x-y+z=-15$ $2x+3y-2z=0$ $2*(3x-y+z)+2x+3y-2z=2*(-15)+0$ $6x-2y+2z+2x+3y-2z=-30$ $8x+y=-30$ $4x+y=-14$ $8x+y=-30$ $8x+y-(4x+y)=-30-(-14)$ $8x+y-4x-y=-30+14$ $4x=-16$ $4x/4=-16/4$ $x=-4$ $4x+y=-14$ $4*-4+y=-14$ $-16+y=-14$ $-16+y+16=-14+16$ $y=2$ $3x-y+z=-15$ $3*-4-2+z=-15$ $-12-2+z=-15$ $-14+z=-15$ $-14+z+14=-15+14$ $z=-1$
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