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Intermediate Algebra

OPENSTAX

$Math Studyset Vaia Explanations$ Math

OER 2017 Edition · 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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