Algebra Examples

$1.32 y - 6 x = 9 - 5$

Step 1

The slope-intercept form is $y = m x + b$ , where $m$ is the slope and $b$ is the y-intercept.

$y = m x + b$

Step 2

Rewrite in slope-intercept form.

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Step 2.1

Simplify the right side.

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Step 2.1.1

Subtract $5$ from $9$ .

$1.32 y - 6 x = 4$

Step 2.2

Add $6 x$ to both sides of the equation.

$1.32 y = 4 + 6 x$

Step 2.3

Divide each term in $1.32 y = 4 + 6 x$ by $1.32$ and simplify.

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Step 2.3.1

Divide each term in $1.32 y = 4 + 6 x$ by $1.32$ .

$\frac{1.32 y}{1.32} = \frac{4}{1.32} + \frac{6 x}{1.32}$

Step 2.3.2

Simplify the left side.

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Step 2.3.2.1

Cancel the common factor of $1.32$ .

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Step 2.3.2.1.1

Cancel the common factor.

$\frac{1.32 y}{1.32} = \frac{4}{1.32} + \frac{6 x}{1.32}$

Step 2.3.2.1.2

Divide $y$ by $1$ .

$y = \frac{4}{1.32} + \frac{6 x}{1.32}$

Step 2.3.3

Simplify the right side.

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Step 2.3.3.1

Simplify each term.

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Step 2.3.3.1.1

Divide $4$ by $1.32$ .

$y = 3.\overline{03} + \frac{6 x}{1.32}$

Step 2.3.3.1.2

Factor $6$ out of $6 x$ .

$y = 3.\overline{03} + \frac{6 (x)}{1.32}$

Step 2.3.3.1.3

Factor $1.32$ out of $1.32$ .

$y = 3.\overline{03} + \frac{6 (x)}{1.32 (1)}$

Step 2.3.3.1.4

Separate fractions.

$y = 3.\overline{03} + \frac{6}{1.32} \cdot \frac{x}{1}$

Step 2.3.3.1.5

Divide $6$ by $1.32$ .

$y = 3.\overline{03} + 4.\overline{54} \frac{x}{1}$

Step 2.3.3.1.6

Divide $x$ by $1$ .

$y = 3.\overline{03} + 4.\overline{54} x$

Step 2.4

Reorder $3.\overline{03}$ and $4.\overline{54} x$ .

$y = 4.\overline{54} x + 3.\overline{03}$