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 382: 7

Answer

(4,5)

Work Step by Step

You have the equations:3x+3y=27 and x-3y=-11. You solve them by elimination: 3x+3y=27 -combine the two equations- 1x-3y=-11 4x=16 -divide both sides by 4- x=4 Plug in x=4 into one of the equations: 3(4)+3y=27 -distribute- 12+3y=27 -subtract 12 from both sides- 3y=15 -divide both sides by 3- y=5 Check your work by plugging in x=4 and y=5 into an equation: 4-3(5)=-11 -distribute- 4-15=11 -simplify- 11=11 The solution is (4,5)
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.