Precalculus Examples

4 x + 8 y = 4

$4 x + 8 y = 4$

Step 1

Subtract

4 x

$4 x$ from both sides of the equation.

8 y = 4 - 4 x

$8 y = 4 - 4 x$

Step 2

Divide each term in

8 y = 4 - 4 x

$8 y = 4 - 4 x$ by

8

$8$ and simplify.

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Step 2.1

Divide each term in

8 y = 4 - 4 x

$8 y = 4 - 4 x$ by

8

$8$ .

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

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

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of

8

$8$ .

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Step 2.2.1.1

Cancel the common factor.

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

Step 2.2.1.2

Divide

$y$ by

$1$ .

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

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

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

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

Cancel the common factor of

$4$ and

$8$ .

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Step 2.3.1.1.1

Factor

$4$ out of

$4$ .

$y = \frac{4 (1)}{8} + \frac{- 4 x}{8}$

Step 2.3.1.1.2

Cancel the common factors.

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Step 2.3.1.1.2.1

Factor

$4$ out of

$8$ .

$y = \frac{4 \cdot 1}{4 \cdot 2} + \frac{- 4 x}{8}$

Step 2.3.1.1.2.2

Cancel the common factor.

$y = \frac{4 \cdot 1}{4 \cdot 2} + \frac{- 4 x}{8}$

Step 2.3.1.1.2.3

Rewrite the expression.

$y = \frac{1}{2} + \frac{- 4 x}{8}$

$y = \frac{1}{2} + \frac{- 4 x}{8}$

$y = \frac{1}{2} + \frac{- 4 x}{8}$

Step 2.3.1.2

Cancel the common factor of

$- 4$ and

$8$ .

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Step 2.3.1.2.1

Factor

$4$ out of

$- 4 x$ .

$y = \frac{1}{2} + \frac{4 (- x)}{8}$

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

$8$ .

$y = \frac{1}{2} + \frac{4 (- x)}{4 (2)}$

Step 2.3.1.2.2.2

Cancel the common factor.

$y = \frac{1}{2} + \frac{4 (- x)}{4 \cdot 2}$

Step 2.3.1.2.2.3

Rewrite the expression.

$y = \frac{1}{2} + \frac{- x}{2}$

$y = \frac{1}{2} + \frac{- x}{2}$

$y = \frac{1}{2} + \frac{- x}{2}$

Step 2.3.1.3

Move the negative in front of the fraction.

$y = \frac{1}{2} - \frac{x}{2}$

$y = \frac{1}{2} - \frac{x}{2}$

$y = \frac{1}{2} - \frac{x}{2}$

$y = \frac{1}{2} - \frac{x}{2}$

$4 x + 8 y = 4$

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