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: 12

Answer

$12,64$

Work Step by Step

let's call the two numbers $x, y$ We know that: $x + y = 76$ and $x - y = 52$ By the first equation $x + y = 76$ $x + y - y = 76- y$ $x = 76 - y$ let's use the second equation and switch $x$ for $76-y$. $x - y = 52$ $76-y - y = 52$ $-2y + 76= 52$ $-2y + 76- 76= 52- 76$ $-2y = -24$ $-2y \times \frac{-1}{2} = -24\times \frac{-1}{2}$ $y = 12$ Therefore $x = 76- y = 76- 12= 64$ So the numbers are $12,64$
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