Use the addition and division properties of equility to rearrange the quotation.Q= RS -T for the quantity of interest

Question

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

Answer 1

To rearrange the equation \( Q = RS - T \) for \( S \), we want to isolate \( S \) on one side of the equation.

Here are the steps:

1. Add \( T \) to both sides: \[ Q + T = RS \]

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

Thus, the correct rearrangement is:

S = (Q + T) / R

From the options given:

A) \( S = \frac{Q - T}{R} \)
B) \( S = \frac{Q + T}{R} \)
C) \( S = Q + T - R \)
D) \( S = \frac{Q}{RT} \)

The correct answer is B) S = (Q + T) / R.