Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 8 - Systems of Linear Equations and Problem Solving - 8.1 Systems of Equations in Two Variables - 8.1 Exercise Set - Page 508: 46

Answer

52 and 38 degrees

Work Step by Step

We first write the word problem as an equation. Next, we solve the equation using substitution. Doing this, we find: $$ x+y=90, x+.5y=64 \\ 90-y+\frac{1}{2}y=64\\ y=52\\ x=90-52 \\ x=38$$
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