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Pre-Algebra Examples

6 x + 2 y = 8

$6 x + 2 y = 8$

Step 1

The slope-intercept form is

y = m x + b

$y = m x + b$ , where

m

$m$ is the slope and

b

$b$ is the y-intercept.

y = m x + b

$y = m x + b$

Step 2

Rewrite in slope-intercept form.

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Step 2.1

Subtract

6 x

$6 x$ from both sides of the equation.

2 y = 8 - 6 x

$2 y = 8 - 6 x$

Step 2.2

Divide each term in

2 y = 8 - 6 x

$2 y = 8 - 6 x$ by

2

$2$ and simplify.

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Step 2.2.1

Divide each term in

2 y = 8 - 6 x

$2 y = 8 - 6 x$ by

2

$2$ .

\frac{2 y}{2} = \frac{8}{2} + \frac{- 6 x}{2}

$\frac{2 y}{2} = \frac{8}{2} + \frac{- 6 x}{2}$

Step 2.2.2

Simplify the left side.

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Step 2.2.2.1

Cancel the common factor of

2

$2$ .

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Step 2.2.2.1.1

Cancel the common factor.

\frac{2 y}{2} = \frac{8}{2} + \frac{- 6 x}{2}

$\frac{2 y}{2} = \frac{8}{2} + \frac{- 6 x}{2}$

Step 2.2.2.1.2

Divide

y

$y$ by

1

$1$ .

y = \frac{8}{2} + \frac{- 6 x}{2}

$y = \frac{8}{2} + \frac{- 6 x}{2}$

y = \frac{8}{2} + \frac{- 6 x}{2}

$y = \frac{8}{2} + \frac{- 6 x}{2}$

y = \frac{8}{2} + \frac{- 6 x}{2}

$y = \frac{8}{2} + \frac{- 6 x}{2}$

Step 2.2.3

Simplify the right side.

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Step 2.2.3.1

Simplify each term.

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Step 2.2.3.1.1

Divide

8

$8$ by

2

$2$ .

y = 4 + \frac{- 6 x}{2}

$y = 4 + \frac{- 6 x}{2}$

Step 2.2.3.1.2

Cancel the common factor of

- 6

$- 6$ and

2

$2$ .

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Step 2.2.3.1.2.1

Factor

2

$2$ out of

- 6 x

$- 6 x$ .

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

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

Step 2.2.3.1.2.2

Cancel the common factors.

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Step 2.2.3.1.2.2.1

Factor

2

$2$ out of

2

$2$ .

y = 4 + \frac{2 (- 3 x)}{2 (1)}

$y = 4 + \frac{2 (- 3 x)}{2 (1)}$

Step 2.2.3.1.2.2.2

Cancel the common factor.

y = 4 + \frac{2 (- 3 x)}{2 \cdot 1}

$y = 4 + \frac{2 (- 3 x)}{2 \cdot 1}$

Step 2.2.3.1.2.2.3

Rewrite the expression.

y = 4 + \frac{- 3 x}{1}

$y = 4 + \frac{- 3 x}{1}$

Step 2.2.3.1.2.2.4

Divide

- 3 x

$- 3 x$ by

1

$1$ .

y = 4 - 3 x

$y = 4 - 3 x$

y = 4 - 3 x

$y = 4 - 3 x$

y = 4 - 3 x

$y = 4 - 3 x$

y = 4 - 3 x

$y = 4 - 3 x$

y = 4 - 3 x

$y = 4 - 3 x$

y = 4 - 3 x

$y = 4 - 3 x$

Step 2.3

Reorder

4

$4$ and

- 3 x

$- 3 x$ .

y = - 3 x + 4

$y = - 3 x + 4$

y = - 3 x + 4

$y = - 3 x + 4$

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[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$