Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 9 - Systems and Matrices - Test - Page 957: 2

Answer

$\{(-\frac{3y+7}{2},y)\}$

Work Step by Step

1. Simplify the first equation (divide by 3) to get $2x+3y=-7$ 2. Simplify the second equation (divide by 2) to get $2x+3y=-7$ which is the same as above. 3. Thus the system has infinitely many solutions. 4. Solve for $x$ from the first equation to get $x=-\frac{3y+7}{2}$ 5. Thus the solution set is $\{(-\frac{3y+7}{2},y)\}$
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