Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 4 - Section 4.3 - Solving Systems of Linear Equations by Addition - Exercise Set - Page 309: 58

Answer

(-5.6, -4.1)

Work Step by Step

Multiply the first equation by 5 and the second equation by 2: 5(5x - 2y) = 5(-19.8) 2(-3x + 5y) = 2(-3.7) 25x - 10y = -99 -6x + 10y = -7.4 Add: 19x = -106.4 Solve for x: x = -5.6 Let x = -5.6 in the first equation to find y: 5(-5.6) - 2y = -19.8 -28 - 2y = -19.8 -2y = 8.2 y = -4.1 Check the solution (-5.6, -4.1) in the second equation: -3(-5.6) + 5(-4.1) = -3.7 -3.7 = -3.7; True
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.