Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 4 - Section 4.2 - Solving Systems of Linear Equations by the Substitution Method - Exercise Set - Page 300: 15

Answer

{(x,y)|y=3x-5} infinitely many solutions

Work Step by Step

y=3x-5 Plug this value for y into the other equation. 21x-35=7y 21x-35=7(3x-5) 21x-35=7(3x)-7(5) 21x-35=21x-35 21x-21x-35=21x-21x-35 -35=-35 Since this statement is true, there are infinitely many solutions and the solution set contains either of the equations in the system. For example, {(x,y)|y=3x-5}.
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