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Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset Vaia Explanations$ Math

2nd Edition · 1240 pages

ISBN: 9780998625713

Chapter 8: Q. 8.117 (page 971)

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

Short Answer

Expert verified

$y = \frac{- 15}{7}$

Step by step solution

01

Step 1. Given information

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

02

Step 2. Solving the equation by cross multiplication

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

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Most popular questions from this chapter

Solve: $\frac{2 x + 15}{9} = \frac{7 x + 3}{15}$ .

In the following exercises, solve.

$\frac{1}{t + 7} - \frac{5}{t - 5} = 1$

In the following exercises, simplify.

$\frac{6 a b^{2}}{12 a^{2} b}$

Simplify

In the following exercises, use either method.

$\frac{\frac{v}{w} + \frac{1}{v}}{\frac{1}{v} - \frac{v}{w}}$

In the following exercises, solve.

$\frac{2}{s + 7} - \frac{3}{s - 3} = 1$

See all solutions

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