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: 29

Answer

This system has infinitely many solutions.

Work Step by Step

$5=0.5x+3y\\ 10-x=6y = -x=6y-10 = x=10-6y\\ 5=0.5(10-6y)+3y\\ 5=5-3y+3y\\ 5=5$ This system has infinitely many solutions, for 5 will always equal 5.
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