College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 8 - Section 8.1 - Systems of Linear Equations: Substitution and Elimination - 8.1 Assess Your Understanding - Page 556: 59


$23$ commercial launches, $58$ noncommercial launches.

Work Step by Step

Let $x=$ the number of commercial launches and $y=$ the number of noncommercial launches. Given:$\left\{\begin{array}{ll} x+y=81 & (1)\\ y=2x+12 & (2) \end{array}\right.$ Substitute y from ($2$) into ($1$) $x+y=81$ $x+(2x+12)=81$ $3x+12=81$ $3x=69$ $x=23$ Back-substitute into ($2$) $y=2(23)+12=58$ $23$ commercial launches, $58$ noncommercial launches.
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