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kiruha [24]
3 years ago
11

Help! Clear the fractions

Mathematics
1 answer:
I am Lyosha [343]3 years ago
6 0

Answer:

x = - \frac{27}{20}

Step-by-step explanation:

Given

\frac{5}{6} x + 2 = \frac{7}{8}

Multiply through by 24 ( the LCM of 6 and 8 ) to clear the fractions

20x + 48 = 21 ( subtract 48 from both sides )

20x = - 27 ( divide both sides by 20 )

x = - \frac{27}{20}

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Integrating both sides gives

\displaystyle\int\left(1+\frac5y\right)\,\mathrm dy=-3\int\frac{\mathrm dx}x\implies y+5\ln|y|=-3\ln|x|+C

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