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: 22


infinitely many solutions {(x,y)|y=3x-1}

Work Step by Step

y=3x-1 plug this value for y into the other equation. x+y-1=2(y-x) x+(3x-1)-1=2((3x-1)-x) x+3x-1-1=2(3x)-2(1)-2(x) x+3x-2=6x-2-2x 4x-2=6x-2x-2 4x-2=4x-2 4x-4x-2=4x-4x-2 -2=-2 Since the variables were eliminated and the statement is true, the system has infinitely many solutions. The solution set is equal to either of the equations, for example {(x,y)|y=3x-1}.
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