Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 6 - Systems of Equations and Inequalities - 6-3 Solving Systems Using Elimination - Practice and Problem-Solving Exercises - Page 383: 35

Answer

$y=5$ $x=6$

Work Step by Step

$y=\frac{2}{3}x+1$ $2x+3y=27$ $-\frac{2}{3}x+y=1$ (1) $2x+3y=27$ (2) Divide both sides of equation (2) by $3$ to obtain: $-\frac{2}{3}x+y=1$ $\frac{2}{3}x+y=9$ ___________________ $2y=10$ $y=5$ $x=6$
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