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

1 answer

To isolate \( Q \) from the equation \( Q = RS - T \) using the addition and division properties of equality, we can rearrange it for \( RS \):

Starting with the original equation:

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

So, \( RS \) can be expressed as: \[ RS = Q + T \]

If you’re looking to isolate \( R \) or \( S \), you would need further steps based on what you want to solve for. For example, if you wanted to isolate \( R \), you might do the following:

  1. To isolate \( R \): If you express \( S \) in terms of \( Q \), \( R\), and \( T \): \[ R = \frac{Q + T}{S} \]

Or if you want to isolate \( S \): 3. To isolate \( S \): \[ S = \frac{Q + T}{R} \]

Please clarify if you intended to isolate a different variable or if you need further assistance!