Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 10 - Section 10.1 - Systems of Linear Equations in Two Variables - 10.1 Exercises - Page 688: 3

Answer

First blank: no [solution] Second blank: infinitely many [solutions]

Work Step by Step

A system of linear equations can have one, none, or infinitely many solutions. One, would be in the case of two different lines with differing slopes. None, would be in the case of two lines with the SAME slope. Infinitely many, would be in the case of the exact same line.
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