Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 10 - Section 10.2 - Systems of Linear Equations in Several Variables - 10.2 Exercises - Page 697: 14

Answer

$y - 5z = -14$ $27y + 11z = 60$

Work Step by Step

To eliminate the x-term from the second equation, there are two steps: 1. Double the first equation and add it to the second equation. 2. Multiple the third equation 10 fold and add it to the second equation Given: $-5x + 2y - 3z = 3$ $10x - 3y + z = -20$ $-x + 3y + z = 8$ 1. $-10x + 4y - 6z = 6$ $10x - 3y + z = -20$ $y - 5z = -14$ 2. $10x - 3y + z = -20$ $-10x + 30y + 10z = 80$ $27y + 11z = 60$ New system: $y - 5z = -14$ $27y + 11z = 60$
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.