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: 21


no solution; empty set

Work Step by Step

y=2x+3 Plug this value for y into the other equation. 2(x-1)-y=-3 2(x-1)-(2x+3)=-3 2x-2-2x-3=-3 2x-2x-2-3=-3 0-5=-3 -5$\ne$-3 Since this statement is false, there are no solutions to this system. Therefore the answer is an empty set.
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