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

Answer 1

To rearrange the equation \( Q = RS - T \) for the quantity of interest \( S \), we will follow these steps:

1. First, add \( T \) to both sides of the equation: \[ Q + T = RS \]

2. Now, divide both sides by \( R \): \[ S = \frac{Q + T}{R} \]

Thus, the correct rearrangement for \( S \) is:

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