Find the Excluded Values (x-7)/(5x-1)

$\frac{x - 7}{5 x - 1}$

Step 1

Set the denominator in $\frac{x - 7}{5 x - 1}$ equal to $0$ to find where the expression is undefined.

$5 x - 1 = 0$

Step 2

Solve for $x$ .

Add $1$ to both sides of the equation.

$5 x = 1$

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

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

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

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

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

Divide $x$ by $1$ .

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

Step 3