Use the addition and division properties of equality to rearrange the equation Q=RS − T for the quantity of interest S.

Question

A) S = Q/RT
B) S = Q+T / R
C) S = Q-T / R
D) S = Q + T - R

Answer 1

To solve for \( S \) in the equation \( Q = RS - T \), we can follow these steps using the addition and division properties of equality:

1. Add \( T \) to both sides to isolate the term containing \( S \):

   \[ Q + T = RS \]

2. Divide both sides by \( R \) to solve for \( S \):

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

So, the correct rearrangement of the equation for the quantity of interest \( S \) is:

B) \( S = \frac{Q + T}{R} \).