Chapter 8: Q. 352 (page 983)

In the following exercises, solve.
$\frac{3}{s} + \frac{1}{t} = 2 f o r s$

Short Answer

Expert verified

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

Step by step solution

Step 1. Given Information.

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

Step 2. Solve

To solve the equation, clear the fractions by multiplying both sides of the equations by the LCD, $s t$

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

Now, divide both sides by $2 t - 1$ to isolate s

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

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In the following exercises, solve.
$\frac{3}{s} + \frac{1}{t} = 2 f o r s$

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Solve

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In the following exercises, solve.3s+1t=2fors

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Solve

One App. One Place for Learning.

Most popular questions from this chapter

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In the following exercises, solve.
$\frac{3}{s} + \frac{1}{t} = 2 f o r s$