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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. 246 (page 695)

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

Short Answer

Expert verified

The solution is $t = \frac{3 r - s}{r}$

Step by step solution

01

Step 1. Given

The given rational equation is $r = \frac{s}{3 - t}$ .

02

Step 2. To find

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

03

Step 3. Calculation

We cross multiply, then solve the equation for $t$ .

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

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Most popular questions from this chapter

In the following exercise, perform the indicated operation:

$\frac{5}{x^{2} + 8 x - 9} - \frac{4}{x^{2} + 10 x + 9}$

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