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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. 199 (page 694)

In the following exercises, solve each rational equation
$\frac{4}{5} + \frac{1}{4} = \frac{2}{v}$

Short Answer

Expert verified

The solution is $v = \frac{40}{21}$ .

Step by step solution

01

Step 1. Given

The given equation is: $\frac{4}{5} + \frac{1}{4} = \frac{2}{v}$

02

Step 2. To find

We have to solve the equation.

03

Step 3. Calculation

We will multiply both sides by LCD, then solve the linear equation.

$\frac{4}{5} + \frac{1}{4} = \frac{2}{v} \frac{4}{5} (20 v) + \frac{1}{4} (20 v) = \frac{2}{v} (20 v) 16 v + 5 v = 40 21 v = 4 v = \frac{40}{21}$

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