Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 1 - Equations and Inequalities - 1.1 Linear Equations - 1.1 Exercises: 29

Answer

$x = 50$

Work Step by Step

Multiply $100$ to both sides of the equation to obtain: $100[0.08x+0.06(x+12)]=100(7.72)$ Distribute $100$ to obtain: $100(0.08x) + 100[0.06(x+12)]=772 \\8x+6(x+12)=772$ Distribute $6$, then combine like terms to obtain: $8x+6(x) + 6(12) = 772 \\8x+6x+72=772 \\14x+72=772$ Subtract $72$ to both sides of the equation: $14x=700$ Divide $14$ to both sides of the equation: $\dfrac{14x}{14} = \dfrac{700}{14} \\x = 50$
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