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Shtirlitz [24]
4 years ago
7

Solve the equation for Q. R = T - RQ

Mathematics
1 answer:
DerKrebs [107]4 years ago
6 0

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

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