Solve for y: x^3 + (1/a)y= xy+9

Arbylee asked Nov 16, 2022

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28 votes

Solve for y:
x^3 + (1/a)y= xy+9

Arbylee asked Nov 16, 2022

3.2k points

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14 votes

Explanation:

${x}^(3) + ( (1)/(a) )y = xy + 9$

$x {}^(3) + (y)/(ay) = xy + 9$

$x {}^(3 ) = xy + 9 - (y)/(ay)$

${x}^(3) - 9 = xy - (y)/(ay)$

${x}^(3) - 9 = y(x - (1)/(a) )$

Divide both sides by x-1/a

$\frac{x {}^(3) - 9}{x - (1)/(a) } = y$

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