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 516: 25


The system has no solution.

Work Step by Step

$y$ is isolated in eq. $1.$ $ y=2x-3\qquad$ (*) Replace $y$ with $2x-3$ in the other equation: $(2x-3)-2x=1\qquad$ ... and solve for $x$. $2x-2x=1+3$ $ 0=4\qquad$ ... a contradiction, the system has no solution.
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