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 - Exercise Set: 11

Answer

$33, 50$

Work Step by Step

let's call the two numbers $x, y$ We know that: $x + y = 83$ and $x - y = 17$ By the first equation $x + y = 83$ $x + y - y = 83 - y$ $x = 83 - y$ let's use the second equation and switch $x$ for $83-y$ $x - y = 17$ $83-y - y = 17$ $-2y + 83 = 17$ $-2y + 83 - 83= 17 - 83$ $-2y = -66$ $-2y \times \frac{-1}{2} = -66\times \frac{-1}{2}$ $y = 33$ Therefore $x = 83 - y = 83 - 33 = 50$
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