Algebra Examples

$y = \frac{4 x - 2}{12}$

Step 1

Cancel the common factor of $4 x - 2$ and $12$ .

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Step 1.1

Factor $2$ out of $4 x$ .

$y = \frac{2 (2 x) - 2}{12}$

Step 1.2

Factor $2$ out of $- 2$ .

$y = \frac{2 (2 x) + 2 (- 1)}{12}$

Step 1.3

Factor $2$ out of $2 (2 x) + 2 (- 1)$ .

$y = \frac{2 (2 x - 1)}{12}$

Step 1.4

Cancel the common factors.

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Step 1.4.1

Factor $2$ out of $12$ .

$y = \frac{2 (2 x - 1)}{2 (6)}$

Step 1.4.2

Cancel the common factor.

$y = \frac{2 (2 x - 1)}{2 \cdot 6}$

Step 1.4.3

Rewrite the expression.

$y = \frac{2 x - 1}{6}$

Step 2

A linear equation is an equation of a straight line, which means that the degree of a linear equation must be $0$ or $1$ for each of its variables. In this case, the degree of variable $y$ is $1$ and the degree of variable $x$ is $1$ .

Linear