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 - 6-3 Solving Systems Using Elimination - Practice and Problem-Solving Exercises - Page 383: 32



Work Step by Step

You have the equations y=2.5x and 2y+3x=32. Substitute the first equation into the second equation: 2(2.5x)+3x=32. -distribute- 5x+3x=32 -simplify- 8x=32 -divide both sides by 8- x=4 Plug in x=4 into one of the equations: 2y+3(4)=32 -distribute- 2y+12=32-subtract 12 from both sides- 2y=20 -divide both sides by 2- y=10 Plug in x=4 and y=10 into one of the equations to check your work: 10=2.5(4) 10=10 The solution is (4,10)
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.