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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. 7.65 (page 683)

Solve: $\frac{1}{y} + \frac{2}{3} = \frac{1}{5}$ .

Short Answer

Expert verified

The solution is $y = - \frac{15}{7}$ .

Step by step solution

01

Step 1. Given.

The given equation is: $\frac{1}{y} + \frac{2}{3} = \frac{1}{5}$ .

02

Step 2. To find

We have to solve the given equation.

03

Step 3. Calculation

The LCD is $15 y$ . Multiply both sides of the equation by LCD. Then we solve the linear equation.

$\frac{1}{y} + \frac{2}{3} = \frac{1}{5} \frac{1}{y} (15 y) + \frac{2}{3} (15 y) = \frac{1}{5} (15 y) 15 + 2 (5 y) = 1 (3 y) 15 + 10 y = 3 y 10 y - 3 y = - 15 7 y = - 15 y = - \frac{15}{7}$

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Most popular questions from this chapter

In the following exercises, perform the indicated operations

$\frac{5 q}{p^{2} q - p^{2}} + \frac{4 q}{q^{2} - 1}$

Simplify the rational expression $\frac{8 n - 96}{3 n - 36}$ .

For the following exercises, perform the indicated operations.

$\frac{4 n^{2} + 32 n}{3 n + 2} . \frac{3 n^{2} - n - 2}{n^{2} + n - 30} 梅 \frac{108 n^{2} - 24 n}{n + 6}$

Solve the rational equation $\frac{3}{x} - \frac{5}{y} = \frac{1}{4}$ for the variable y.

For the following exercises, perform the indicated operations.
$\frac{12 p^{2} + 3 p}{p + 3} 梅 \frac{p^{2} + 2 p - 63}{p^{2} - p - 12} . \frac{p - 7}{9 p^{3} - 9 p^{2}}$

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