Algebra: A Combined Approach (4th Edition)

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

Chapter 10 - Cumulative Review - Page 752: 6

Answer

$a=13/14$

Work Step by Step

$(a-1)/2 + a = 2- (2a+7)/8$ $a/2 - 1/2 + a = 2-2a/8 -7/8$ $a/2 -1/2 +2a/2 = 2*8/1*8 -2a/8 -7/8$ $3a/2 -1/2 = 16/8 -2a/8 -7/8$ $3a/2 - 1/2 = 9/8 -2a/8$ $3a*4/2*4 -1*4/2*4 = 9/8 - 2a/8$ $12a/8 - 4/8 = 9/8 - 2a/8$ $8*(12a/8 - 4/8 = 9/8 - 2a/8)$ $12a-4=9-2a$ $12a-4+4+2a=9-2a+4+2a$ $14a=13$ $14a/14=13/14$ $a=13/14$
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