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: 16


{(x,y)|y=3x-4} infinitely many solutions

Work Step by Step

y=3x-4 Plug this value for y into the other equation. 9x-3y=12 9x-3(3x-4)=12 9x-3(3x)-3(-4)=12 9x-9x+12=12 12=12 Since this statement is true, there are infinitely many solutions and the solution set contains either of the equations from the system. For example, {(x,y)|y=3x-4}.
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