Chapter 8: Q. 347 (page 983)

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

Short Answer

Expert verified

The solution is $w = 2 v + 7 .$

Step by step solution

Step 1. Given Information.

The given equation is $\frac{v + 3}{w - 1} = \frac{1}{2} f o r w .$

Step 2. Solve

To solve the equation, clear the fractions by multiplying both sides of the equations by the LCD, $w - 1$

$(w - 1) \times (\frac{v + 3}{w - 1}) = \frac{1}{2} \times (w - 1) v + 3 = \frac{1}{2} w - \frac{1}{2} v + 3 + \frac{1}{2} = \frac{1}{2} w \frac{2 v + 6 + 1}{2} = \frac{1}{2} w$

Now, multiply both sides by $\frac{1}{2}$ to isolate w

$\frac{2 v + 6 + 1}{2} \times 2 = \frac{1}{2} w \times 2 2 v + 7 = w$

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

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Solve

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