Intermediate Algebra (12th Edition)

Published by Pearson
ISBN 10: 0321969359
ISBN 13: 978-0-32196-935-4

Chapter 1 - Section 1.1 - Linear Equations in One Variable - 1.1 Exercises - Page 53: 82

Answer

x = 14

Work Step by Step

1. Given: 0.006(50 - x) = 0.272 - 0.004x 2. Distribute: 0.3 - 0.006x = 0.272 - 0.004x 3. Multiply both sides by 10 to the 3rd power to turn decimals into whole numbers: 1000(0.3 - 0.006x) = (0.272 - 0.004x)1000 300 - 6x = 272 - 4x 4. Add and subtract: -2x = -28 5. Divide: x = 14 6. Check: 0.006(50 - 14) = 0.272 - 0.004*14 0.216 = 0.216, so 14 is a correct solution of the equation.
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