Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 8 - Systems of Linear Equations and Problem Solving - 8.2 Solving by Substitution or Elimination - 8.2 Exercise Set - Page 517: 59


Write equations of lines that are parallel

Work Step by Step

In order to solve a system of equations by graphing, first graph each of the given equations. Next, look for intersections between the equations, which are solutions to the equations. If the equations are the same line, then there are infinite solutions. If the equations intersect at a point, that point is the solution to the equations. If the lines never intersect, there is no solution. Thus, if we want to write a set of equations with no solution, we choose the equations of two lines that are parallel and thus do not intersect.
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