Algebra: A Combined Approach (4th Edition)

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

Chapter 4 - Test - Page 331: 16

Answer

There are infinite number of solutions to the system.

Work Step by Step

Equation 1: $8x - 4y = 12$ Equation 2: $y = 2x - 3$ Substitute equation 2 to equation 1: $$8x - 4y = 12$$ $$8x - 4(2x - 3) = 12$$ $$8x - 8x + 12 = 12$$ $$0+12=12$$ $$12=12$$ Since both sides are equal, therefore there are infinite number of solutions to the system.
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