Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 6 - Systems of Equations and Inequalities - 6-2 Solving Systems Using Substitution - Practice and Problem-Solving Exercises - Page 376: 26

Answer

The system has infinitely many solutions.

Work Step by Step

$y=0.5x+3\\ 2y-x=6\\ 2(0.5x+3)-x=6\\ x+6-x=6\\ 6=6$ The system has infinitely many solutions, for 6 is always equal to 6 regardless of what values are chosen for x and y.
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