Use the addition and division properties of equality to rearrange the equation Q=RS − T

Question

for the quantity of interest S.

Answer 1

To rearrange the equation \( Q = RS - T \) for the quantity of interest \( S \), we will use the addition and division properties of equality.

Starting with the equation:

\[ Q = RS - T \]

Step 1: Add \( T \) to both sides

To isolate the term with \( S \), we add \( T \) to both sides:

\[ Q + T = RS \]

Step 2: Divide both sides by \( R \)

Next, we divide both sides by \( R \) (assuming \( R \neq 0 \)) to solve for \( S \):

\[ S = \frac{Q + T}{R} \]

Now, we have successfully rearranged the equation for \( S \):

\[ S = \frac{Q + T}{R} \]