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: 27

Answer

Infinite solutions.

Work Step by Step

$6y=-5x+24$ $y=(-5x+24)/6$ as per equation 1. If we substitute in equation 2, $2.5x+3y=12$ $2.5x+3((-5x+24)/6)=12$ $2.5x+(-5x+24)/2=12$ $2.5x-2.5x+12=12$ $12=12$ As LHS = RHS , we can conclude that there are infinitely many solutions, since both the equations are equal.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.