miksyme miksyme

06-06-2022
Mathematics

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R FIVE Given that k = 3n+2/n+1 write 'n' in terms of 'k'

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loneguy loneguy

06-06-2022

[tex]~~~~~~k = \dfrac{3n+2}{n+1}\\\\\implies k(n+1) = 3n+2\\\\\implies kn+k=3n+2\\\\\implies kn -3n= 2-k\\\\\implies n(k-3) = 2-k\\\\\implies n = \dfrac{2-k}{k-3}\\\\\implies n = -\dfrac{k-2}{k-3}~~~~~~~~;[k\neq 3][/tex]

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