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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 621. (page 1030)

In the following exercises, solve each equation.
$\frac{1}{2} + \frac{2}{7} = \frac{1}{x}$

Short Answer

Expert verified

The required answer is $x = \frac{14}{11}$ .

Step by step solution

01

Step 1. Given information.

The given equation is:

$\frac{1}{2} + \frac{2}{7} = \frac{1}{x}$

02

Step 2. Solve the equation.

$\frac{1}{2} + \frac{2}{7} = \frac{1}{x}$

Find the LCD of the denominators $2, 7 and x$ :

The LCD is $14 x$ .

Clear the fractions by multiplying both sides by the LCD and simplify,

$14 x (\frac{1}{2} + \frac{2}{7}) = 14 x (\frac{1}{x}) 7 x + 4 x = 14 11 x = 14 x = \frac{14}{11}$

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