Algebra: A Combined Approach (4th Edition)

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

Chapter 4 - Review - Page 329: 45

Answer

infinite number of solutions

Work Step by Step

Equation 1: $2x + y = 3$ Equation 2: $6x + 3y = 9$ Multiply equation 1 by $-3$: $$[2x + y = 3]\cdot-3$$ $$-6x -3y = -9$$ Add this equation to equation 2: $$-6x -3y = -9$$ $$+$$ $$6x + 3y = 9$$ $$=$$ $$0=0$$ Since both sides are equal, therefore there are infinite number of solutions for the system.
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