Answer
$$b=-\frac{2}{3},\:a=\frac{1}{3}$$
Work Step by Step
Solving the two equations using substitution, we find:
$$ 2\cdot \frac{9+7b}{13}-8b=6\\ b=-\frac{2}{3}\\ a=\frac{9+7\left(-\frac{2}{3}\right)}{13}\\ a=\frac{1}{3}$$
Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)
by Bittinger, Marvin L.; Ellenbogen, David J.; Johnson, Barbara L.
Published by
Pearson
ISBN 10:
0-32184-874-8
ISBN 13:
978-0-32184-874-1
Chapter 8 - Systems of Linear Equations and Problem Solving - 8.2 Solving by Substitution or Elimination - 8.2 Exercise Set - Page 517: 57
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