Question

Solve the equation for Q.
R = T - RQ

Answer 1

`\huge\boxed{Q=(T-R)/(R)=(T)/(R)-1}`

Explanation:

`R = T - RQ\qquad|\text{add}\ RQ\ \text{to both sides}\\\\R+RQ=T-RQ+RQ\\\\R+RQ=T\qquad|\text{subtract}\ R\ \text{from both sides}\\\\R-R+RQ=T-R\\\\RQ=T-R\qquad|\text{divide both sides by} \ R\\eq0\\\\(RQ)/(R)=(T-R)/(R)\\\\Q=(T-R)/(R)\\\\Q=(T)/(R)-(R)/(R)\\\\Q=(T)/(R)-1`