Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 4 - Review - Page 249: 8

Answer

$(2,0,-3)$

Work Step by Step

Given Equations, $2x+5y=4$ Equation $(1)$ $x-5y+z=-1$ Equation $(2)$ $4x-z=11$ Equation $(3)$ Adding Equation $(1)$ and Equation $(2)$ $2x+5y+x-5y+z=4-1$ $3x+z=3$ Equation $(4)$ Adding Equation $(3)$ and Equation $(4)$ $4x-z+3x+z=11+3$ $7x=14$ $x=2$ Substituting $x$ value in Equation $(1)$ $2x+5y=4$ $2(2)+5y=4$ $4+5y=4$ $5y=0$ $y=0$ Substituting $x$ value in Equation $(3)$ $4x-z=11$ $4(2)-z=11$ $8-z=11$ $-z=3$ $z=-3$ Solution: $(2,0,-3)$
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