Chapter 8: Q. 353 (page 983)

In the following exercises, solve.
$\frac{2}{v} + \frac{1}{5} = \frac{3}{w} f o r w$

Short Answer

Expert verified

The solution is $w = \frac{15 v}{10 + v} .$

Step by step solution

Step 1. Given Information.

The given equation is $\frac{2}{v} + \frac{1}{5} = \frac{3}{w} f o r w .$

Step 2. Solve

To solve the equation, clear the fractions by multiplying both sides of the equations by the LCD, $5 v$

$(5 v) (\frac{2}{v} + \frac{1}{5}) = (\frac{3}{w}) (5 v) (5 v) (\frac{10 + v}{5 v}) = \frac{15 v}{w} 10 + v = \frac{15 v}{w}$

Again clear the fractions by multiplying both sides of the equation by $w$

$(w) \times (10 + v) = (\frac{15 v}{w}) \times w 10 w + v w = 15 v w (10 + v) = 15 v$

Now, divide both sides by $10 + v$ to isolate w

role="math" localid="1647856664125" $\frac{w (10 + v)}{10 + v} = \frac{15 v}{10 + v} w = \frac{15 v}{10 + v}$

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In the following exercises, solve.
$\frac{2}{v} + \frac{1}{5} = \frac{3}{w} f o r w$

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Solve

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In the following exercises, solve.2v+15=3wforw

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Solve

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Discrete Mathematics

Decision Maths

Calculus

Pure Maths

Geometry

Study anywhere. Anytime. Across all devices.

In the following exercises, solve.
$\frac{2}{v} + \frac{1}{5} = \frac{3}{w} f o r w$