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

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.**