Algebra Examples

$y = 5 x - 1$

Rewrite the equation as $5 x - 1 = y$ .

$5 x - 1 = y$

Add $1$ to both sides of the equation.

$5 x = y + 1$

Divide each term in $5 x = y + 1$ by $5$ and simplify.

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Divide each term in $5 x = y + 1$ by $5$ .

$\frac{5 x}{5} = \frac{y}{5} + \frac{1}{5}$

Simplify the left side.

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Cancel the common factor of $5$ .

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Cancel the common factor.

$\frac{5 x}{5} = \frac{y}{5} + \frac{1}{5}$

Divide $x$ by $1$ .

$x = \frac{y}{5} + \frac{1}{5}$

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

$f (y) = \frac{y}{5} + \frac{1}{5}$