College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 5 - Systems of Equations and Inequalities - Exercise Set 5.1 - Page 527: 16

Answer

$(-1,-2)$

Work Step by Step

$3x-4y=x-y+4$ $2x+6y=5y-4$ $2x=-y-4$ $x=\frac{-y-4}{2}$ $3(\frac{-y-4}{2})-4y=\frac{-y-4}{2}-y+4$ $\frac{-3y-4}{2}-4y=\frac{-y-4}{2}-y+4$ $\frac{-2y-8}{2}-3y=4$ $\frac{-2y-8}{2}-\frac{6y}{2}=4$ $\frac{-8y-8}{2}=4$ $-8y-8=8$ $-8y=16$ $y=-2$ $2x+6(-2)=5(-2)-4$ $2x-12=-10-4$ $2x=-2$ $x=-1$ $(-1,-2)$
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