Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 4 - Section 4.4 - Systems of Linear Equations and Problem Solving - Practice - Page 312: 1

Answer

36 and 14

Work Step by Step

1. Translate to two equations: "two numbers whose sum is 50" translates to x + y = 50. "two numbers whose difference is 22" translates to x - y = 22 2. Solve the system of equations with addition: x + y = 50 x - y = 22 = 2x = 72 x = 36 3. Let x = 36 in the first equation to solve for y: 36 + y = 50 y = 14 The numbers are 36 and 14.
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