Algebra Examples

$12 x = 33$ $(0, 0)$

Step 1

Divide each term in $12 x = 33$ by $12$ and simplify.

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Step 1.1

Divide each term in $12 x = 33$ by $12$ .

$\frac{12 x}{12} = \frac{33}{12}$

Step 1.2

Simplify the left side.

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Step 1.2.1

Cancel the common factor of $12$ .

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Step 1.2.1.1

Cancel the common factor.

$\frac{12 x}{12} = \frac{33}{12}$

Step 1.2.1.2

Divide $x$ by $1$ .

$x = \frac{33}{12}$

Step 1.3

Simplify the right side.

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Step 1.3.1

Cancel the common factor of $33$ and $12$ .

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Step 1.3.1.1

Factor $3$ out of $33$ .

$x = \frac{3 (11)}{12}$

Step 1.3.1.2

Cancel the common factors.

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Step 1.3.1.2.1

Factor $3$ out of $12$ .

$x = \frac{3 \cdot 11}{3 \cdot 4}$

Step 1.3.1.2.2

Cancel the common factor.

$x = \frac{3 \cdot 11}{3 \cdot 4}$

Step 1.3.1.2.3

Rewrite the expression.

$x = \frac{11}{4}$

Step 2

Since $x = \frac{11}{4}$ is a vertical line, the slope is undefined.

Undefined

Step 3

The perpendicular line is horizontal and the slope is $0$ .

$y = 0$

Step 4