Write as a Function of y y^3-7x=1

$y^{3} - 7 x = 1$

Step 1

Subtract $y^{3}$ from both sides of the equation.

$- 7 x = 1 - y^{3}$

Step 2

Divide each term in $- 7 x = 1 - y^{3}$ by $- 7$ and simplify.

Divide each term in $- 7 x = 1 - y^{3}$ by $- 7$ .

$\frac{- 7 x}{- 7} = \frac{1}{- 7} + \frac{- y^{3}}{- 7}$

Simplify the left side.

Cancel the common factor of $- 7$ .

Cancel the common factor.

$\frac{- 7 x}{- 7} = \frac{1}{- 7} + \frac{- y^{3}}{- 7}$

Divide $x$ by $1$ .

$x = \frac{1}{- 7} + \frac{- y^{3}}{- 7}$

Simplify the right side.

Simplify each term.

Move the negative in front of the fraction.

$x = - \frac{1}{7} + \frac{- y^{3}}{- 7}$

Dividing two negative values results in a positive value.

$x = - \frac{1}{7} + \frac{y^{3}}{7}$

Step 3

To rewrite as a function of $y$ , write the equation so that $x$ is by itself on one side of the equal sign and an expression involving only $y$ is on the other side.

$f (y) = - \frac{1}{7} + \frac{y^{3}}{7}$

Write as a Function of y y^3-7x=1

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