a. $$ W=\frac{3-A W}{R} \quad $$ is $$ W $$ isolated?

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To determine if $$ W $$ is isolated in the equation $$ W = \frac{3 - A W}{R} $$, we need to manipulate the equation to see if we can express $$ W $$ solely in terms of other variables without $$ W $$ appearing on both sides.

Starting with the equation:

$$
W = \frac{3 - A W}{R}
$$

We can multiply both sides by $$ R $$ to eliminate the fraction:

$$
R W = 3 - A W
$$

Next, we can rearrange the equation to get all terms involving $$ W $$ on one side:

$$
R W + A W = 3
$$

Factoring out $$ W $$ from the left side gives us:

$$
W (R + A) = 3
$$

Now, we can isolate $$ W $$ by dividing both sides by $$ R + A $$:

$$
W = \frac{3}{R + A}
$$

Now, $$ W $$ is expressed solely in terms of $$ R $$ and $$ A $$, meaning $$ W $$ is isolated.

Thus, the answer is: **Yes, $$ W $$ is isolated.**
$$ W $$ is isolated and can be expressed as $$ W = \frac{3}{R + A} $$.

a. \( W=\frac{3-A W}{R} \quad \) is \( W \) isolated?

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