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Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset 91影视 Explanations$ Math

2nd Edition 路 1240 pages

ISBN: 9780998625713

Chapter 8: Q. 8.129 (page 977)

Solve:
$\frac{x}{18} + \frac{x + 6}{9 x} = \frac{2}{3 x}$ .

Short Answer

Expert verified

$x = - 2$ .

Step by step solution

Step 1. Given information.

To solve $\frac{x}{18} + \frac{x + 6}{9 x} = \frac{2}{3 x}$ .

Step 2. Solve using LCD.

We have

$\frac{x}{18} + \frac{x + 6}{9 x} = \frac{2}{3 x}; x 鈮� 0$

Take LCD and multiply it to both sides.

$18 x (\frac{x}{18} + \frac{x + 6}{9 x}) = \frac{2}{3 x} 脳 18 x x^{2} + 2 (x + 6) = 2 脳 6 x^{2} + 2 x + 12 = 12 x^{2} + 2 x = 0 x^{2} = - 2 x \frac{x^{2}}{x} = \frac{- 2 x}{x} x = - 2$

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Solve:x18+x+69x=23x.

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Solve using LCD.

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Solve:
$\frac{x}{18} + \frac{x + 6}{9 x} = \frac{2}{3 x}$ .