Pre-Algebra Examples

$2 x - 9 y - 4 = 0$

Step 1

Move all terms not containing $y$ to the right side of the equation.

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Step 1.1

Subtract $2 x$ from both sides of the equation.

$- 9 y - 4 = - 2 x$

Step 1.2

Add $4$ to both sides of the equation.

$- 9 y = - 2 x + 4$

Step 2

Divide each term in $- 9 y = - 2 x + 4$ by $- 9$ and simplify.

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Step 2.1

Divide each term in $- 9 y = - 2 x + 4$ by $- 9$ .

$\frac{- 9 y}{- 9} = \frac{- 2 x}{- 9} + \frac{4}{- 9}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $- 9$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{- 9 y}{- 9} = \frac{- 2 x}{- 9} + \frac{4}{- 9}$

Step 2.2.1.2

Divide $y$ by $1$ .

$y = \frac{- 2 x}{- 9} + \frac{4}{- 9}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Simplify each term.

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Step 2.3.1.1

Dividing two negative values results in a positive value.

$y = \frac{2 x}{9} + \frac{4}{- 9}$

Step 2.3.1.2

Move the negative in front of the fraction.

$y = \frac{2 x}{9} - \frac{4}{9}$

Step 3

The given equation $y = \frac{2 x}{9} - \frac{4}{9}$ can not be written as $y = k x^{2}$ , so $y$ doesn't vary directly with $x^{2}$ .

$y$ doesn't vary directly with $x$