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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. 242 (page 695)

Solve a Rational Equation for a Specific Variable.
In the following exercises, solve.
$\frac{3}{s} + \frac{1}{t} = 2$ for $s$ .

Short Answer

Expert verified

The solution is $s = \frac{3 t}{(2 t - 1)}$ .

Step by step solution

01

Step 1. Given

The given rational equation is $\frac{3}{s} + \frac{1}{t} = 2$ .

02

Step 2. To find

We have to solve the given rational equation for $s$ .

03

Step 3. Calculation

We multiply both sides by LCD, then solve the equation for $s$ .

$\frac{3}{s} + \frac{1}{t} = 2 \frac{3}{s} (s t) + \frac{1}{t} (s t) = 2 (s t) 3 t + s = 2 s t 3 t = 2 s t - s 3 t = s (2 t - 1) \frac{3 t}{(2 t - 1)} = \frac{s (2 t - 1)}{(2 t - 1)} \frac{3 t}{(2 t - 1)} = s s = \frac{3 t}{(2 t - 1)}$

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