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Question

Find the value of c if $\frac{1}{c} + \frac{2}{3} = \frac{1}{5}$
$\frac{- 7}{15}$
$\frac{7}{15}$
$\frac{- 15}{7}$
None

A

\frac{7}{15}

B

None

C

\frac{- 15}{7}

D

\frac{- 7}{15}

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Solution

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$\frac{1}{c} + \frac{2}{3} = \frac{1}{5} \frac{1}{c} = \frac{1}{5} - \frac{2}{3} \frac{1}{c} = \frac{3 - 10}{15} \frac{1}{c} = \frac{- 7}{15} c = \frac{- 15}{7}$

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