Changing the subject in rational formulae

Changing the subject in rational formulae

Secondary 2
3 marks
TGM Original Questions

Given \(\dfrac3p=\dfrac2q+\dfrac{p}{r}\), express \(r\) in terms of \(p,q\).[3]

Assume \(p,q\ne0\) and \(3q\ne2p\).

Solution:

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Answer:\(r=\dfrac{p^2q}{3q-2p}\).

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