Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 8 - Coordinate Geometry and Linear Systems - 8.6 - Elimination-by-Addition Method - Problem Set 8.6: 41

Answer

$(-.75, 1.5)$

Work Step by Step

In order to solve this problem, we multiply one or both of the equations by a value that will make one of the variables cancel. We multiply the top equation by 3, and we multiply the bottom equation by -8. Then, we add the two equations to obtain: $ -1.5 y - 6.67y = -12.25 \\ y = 1.5 $ We plug in the given value into the top equation and solve for the other variable: $ 2/3x - .5(1.5) = -1.25 \\ x = -.75$
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.