Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 9 - Systems and Matrices - 9.1 Systems of Linear Equations - 9.1 Exercises - Page 856: 22



Work Step by Step

1. The least work in creating opposite coefficients is to multiply the second equation by ($-2)$ , which will lead to eliminating x $\left\{\begin{array}{lll} 4x & +3y & =-1\\ -4x & -10y & =-6 \end{array}\right.$ 2. ... add the equations and solve $-7y=-7\qquad/\div(-7)$ $y=1$ 3. Back-substitute into one of the initial equations $4x+3y=-1$ $4x+3(1)=-1$ $4x=-4\qquad/\div 4$ $x=-1$ 4. Write the solution as an ordered pair. Solution set: $\{(-1,1)\}$
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.