Precalculus Examples

$x - 2 = 2 y$

Step 1

Rewrite the equation as $2 y = x - 2$ .

$2 y = x - 2$

Step 2

Divide each term in $2 y = x - 2$ by $2$ and simplify.

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Step 2.1

Divide each term in $2 y = x - 2$ by $2$ .

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

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $2$ .

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Step 2.2.1.1

Cancel the common factor.

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

Step 2.2.1.2

Divide $y$ by $1$ .

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

Step 2.3

Simplify the right side.

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Step 2.3.1

Divide $- 2$ by $2$ .

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

Step 3

To rewrite as a function of $x$ , write the equation so that $y$ is by itself on one side of the equal sign and an expression involving only $x$ is on the other side.

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

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