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 232: 23

Answer

The lengths of the sides are: 28 cm, 28 cm, 37 cm

Work Step by Step

We first write the two equations to model the given applications: $2x+y = 93$ $x+9 = y$ We first substitute to find: $2x+(x+9) = 93$ Now, we use PEMDAS, a method for simplification. This acronym reminds us that we must first address parentheses, and then exponents. Next, we address multiplication and division, going from left to right. Lastly, we simplify addition and subtraction from left to right. This gives: x = 28 We substitute back into the equation to find: y = 37
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