Question

Solve for r in terms of q, s, and r. S=-qtr

Answer 1

Solving for a Variable in an Equation

To isolate a certain variable in an equation, we must perform inverse operations on both sides of the equal sign to cancel out values.

Solving the Question

`S=-qtr`

⇒ Right now, r is being multiplied by q and t. Divide both sides by qt to cancel these values out:

`(S)/(qt)=(-qtr)/(qt)\\\\(S)/(qt)=-r`

⇒ Now, to remove the negative symbol, multiply both sides by -1:

`r=-(S)/(qt)`

Answer

`r=-(S)/(qt)`