Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 4 - Section 4.3 - Systems of Linear Equations and Problem Solving - Exercise Set - Page 230: 1

Answer

Thus, the first number is 10, and the second number is 8.

Work Step by Step

We set up a system of equations using the provided information: $x = 2+y$ and $2x = 3y-4$ where x is the first number and y is the second number. We substitute: $2(2+y)=3y-4$ $4+2y=3y-4$ $y=8$ We now find the first number: $x=y+2=8+2=10$ Thus, the first number is 10, and the second number is 8.
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