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

Step 1. Given

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

Step 2. To find

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

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

Short Answer

Step by step solution

Step 1. Given

Step 2. To find

Step 3. Calculation

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Solve a Rational Equation for a Specific Variable.In the following exercises, solve.r=s3-tfort.

Short Answer

Step by step solution

Step 1. Given

Step 2. To find

Step 3. Calculation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

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Study anywhere. Anytime. Across all devices.

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