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: 73

Answer

A system of linear equations having no solution shows two parallel straight lines that never intersect, leading to a no solution.

Work Step by Step

A system of linear equations can have exactly one solution, no solution, or infinitely many solutions. A system of equations is said to be have no solution when we encounter a false equality while solving the equations using the addition or substitution method. A false equality gives no solution to the system of linear equations. A system of linear equations having no solution shows two parallel straight lines that never intersect, leading to a no solution.
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