Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 7 - Algebra: Graphs, Functions, and Linear Systems - 7.3 Systems of Linear Equations in Two Variables - Exercise Set 7.3 - Page 446: 76

Answer

Makes sense.

Work Step by Step

The graphs of a linear equation is straight line extending either sides infinitely. So, each equation in a system of linear equation has infinitely many ordered-pair solutions. When a system of linear equation is formed, it can have infinitely many ordered-pair solutions only when graphs of the two coincide, but each equation always has infinitely many ordered-pair solutions. Each equation in a system of linear equations has infinitely many ordered-pair solutions, since each are just a straight line. Hence it make sense.
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