Solve the following equation: 3x+1/x-2 = -6/11

Eldwin asked Jun 16, 2022

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20 votes

Solve the following equation:
3x+1/x-2 = -6/11

Eldwin asked Jun 16, 2022

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24 votes

Answer:

Hence, the value of x is 1/39.

Explanation:

$\sf \leadsto (3x + 1)/(x - 2) = (-6)/(11)$

$\sf \leadsto 11(3x + 1) = -6(x - 2)$

$\sf \leadsto 33x + 11 = -6x + 12$

$\sf \leadsto 33x + 6x = 12 - 11$

$\sf \leadsto 39x = 1$

$\sf \leadsto x = (1)/(39)$

Yeiniel answered Jun 20, 2022

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