Algebra Examples

$\frac{1}{3 x - 1}$

Set the denominator in $\frac{1}{3 x - 1}$ equal to $0$ to find where the expression is undefined.

$3 x - 1 = 0$

Solve for $x$ .

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Add $1$ to both sides of the equation.

$3 x = 1$

Divide each term in $3 x = 1$ by $3$ and simplify.

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Divide each term in $3 x = 1$ by $3$ .

$\frac{3 x}{3} = \frac{1}{3}$

Simplify the left side.

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Cancel the common factor of $3$ .

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Cancel the common factor.

$\frac{3 x}{3} = \frac{1}{3}$

Divide $x$ by $1$ .

$x = \frac{1}{3}$