Algebra Examples

$8 x - 4 x y = 3$

Step 1

Subtract $8 x$ from both sides of the equation.

$- 4 x y = 3 - 8 x$

Step 2

Divide each term in $- 4 x y = 3 - 8 x$ by $- 4 x$ and simplify.

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Step 2.1

Divide each term in $- 4 x y = 3 - 8 x$ by $- 4 x$ .

$\frac{- 4 x y}{- 4 x} = \frac{3}{- 4 x} + \frac{- 8 x}{- 4 x}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $- 4$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{- 4 x y}{- 4 x} = \frac{3}{- 4 x} + \frac{- 8 x}{- 4 x}$

Step 2.2.1.2

Rewrite the expression.

$\frac{x y}{x} = \frac{3}{- 4 x} + \frac{- 8 x}{- 4 x}$

Step 2.2.2

Cancel the common factor of $x$ .

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Step 2.2.2.1

Cancel the common factor.

$\frac{x y}{x} = \frac{3}{- 4 x} + \frac{- 8 x}{- 4 x}$

Step 2.2.2.2

Divide $y$ by $1$ .

$y = \frac{3}{- 4 x} + \frac{- 8 x}{- 4 x}$

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

Move the negative in front of the fraction.

$y = - \frac{3}{4 x} + \frac{- 8 x}{- 4 x}$

Step 2.3.1.2

Cancel the common factor of $- 8$ and $- 4$ .

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Step 2.3.1.2.1

Factor $- 4$ out of $- 8 x$ .

$y = - \frac{3}{4 x} + \frac{- 4 (2 x)}{- 4 x}$

Step 2.3.1.2.2

Cancel the common factors.

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Step 2.3.1.2.2.1

Factor $- 4$ out of $- 4 x$ .

$y = - \frac{3}{4 x} + \frac{- 4 (2 x)}{- 4 (x)}$

Step 2.3.1.2.2.2

Cancel the common factor.

$y = - \frac{3}{4 x} + \frac{- 4 (2 x)}{- 4 x}$

Step 2.3.1.2.2.3

Rewrite the expression.

$y = - \frac{3}{4 x} + \frac{2 x}{x}$

Step 2.3.1.3

Cancel the common factor of $x$ .

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Step 2.3.1.3.1

Cancel the common factor.

$y = - \frac{3}{4 x} + \frac{2 x}{x}$

Step 2.3.1.3.2

Divide $2$ by $1$ .

$y = - \frac{3}{4 x} + 2$