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Intermediate Algebra

OPENSTAX

$Math Studyset Vaia Explanations$ Math

OER 2017 Edition · 1346 pages

ISBN: 9780998625720

Chapter 7: Q 444 (page 737)

In the following exercise, solve for indices variable $\frac{1}{x} + \frac{2}{y} = 5$ for y

Short Answer

Expert verified

The solution is $y = \frac{2 x}{5 x - 1}$

Step by step solution

01

Step 1. Given Information

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

02

Step 2. Solve for y

Clear the fraction by multiplying both sides of the equation by the LCD $(x y)$

$(x y) (\frac{1}{x} + \frac{2}{y}) = (x y) (5) ((x y) \frac{1}{x} + (x y) \frac{2}{y}) = (x y) (5) y + 2 x = 5 x y \frac{y}{y} + \frac{2 x}{y} = \frac{5 x y}{y} 1 + \frac{2 x}{y} = 5 x y = \frac{2 x}{5 x - 1}$

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Most popular questions from this chapter

Solve the rational equation $\frac{R}{T} = W$ for the variable T.

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See all solutions

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