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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 7: Q.492. (page 742)

Solve the equation.
$\frac{1}{x} + \frac{3}{4} = \frac{5}{8}$

Short Answer

Expert verified

The solution is $x = - 8$ .

Step by step solution

01

Step 1. Given information.

The given equation is $\frac{1}{x} + \frac{3}{4} = \frac{5}{8}$ .

02

Step 2. Simplify the equations.

$\frac{1}{x} + \frac{3}{4} = \frac{5}{8} \frac{1}{x} = \frac{5}{8} - \frac{3}{4} \frac{1}{x} = \frac{5 - 3 脳 2}{8} \frac{1}{x} = \frac{5 - 6}{8} \frac{1}{x} = - \frac{1}{8}$

Use cross-product property: $\frac{a}{b} = \frac{c}{d} 鈬� a d = b c$

x = - 8

03

Step 3. Simplified answer.

Hence, the required solution is $x = - 8$ .

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