Answer
$$y=3,\:x=-2$$
Work Step by Step
Solving the system of equations using elimination, we find:
$$ \begin{bmatrix}\frac{2}{3}x+\frac{3}{4}y=\frac{11}{12}\\ \frac{2}{3}x+\frac{7}{9}y=1\end{bmatrix}\\ \frac{1}{36}y=\frac{1}{12}\\ y=3,\:x=-2$$
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: 42
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