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: 43

Answer

$(5,-5)$

Work Step by Step

First, we simplify the two equations: Equation one: $ \frac{15x +5y + 2x -4y}{10} = 8 \\ 17x +y = 80$ Equation two: $ \frac{ 2x-2y-x-y}{6} = \frac{10}{3} \\ x -3y = 20 $ 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 -1. Then, we add the two equations to obtain: $ -51x -x =-260 \\ x =5 $ We plug in the given value into the top equation and solve for the other variable: $ 17(5) + y = 80 \\y =-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.