Question

Solve the equation for Q. R = T - RQ

Answer 1

Answer:

$\huge\boxed{Q=\dfrac{T-R}{R}=\dfrac{T}{R}-1}$

Step-by-step explanation:

$R = T - RQ\qquad|\text{add}\ RQ\ \text{to both sides}\\\\R+RQ=T-RQ+RQ\\\\R+RQ=T\qquad|\text{subtract}\ R\ \text{from both sides}\\\\R-R+RQ=T-R\\\\RQ=T-R\qquad|\text{divide both sides by} \ R\neq0\\\\\dfrac{RQ}{R}=\dfrac{T-R}{R}\\\\Q=\dfrac{T-R}{R}\\\\Q=\dfrac{T}{R}-\dfrac{R}{R}\\\\Q=\dfrac{T}{R}-1$