Find Where Undefined/Discontinuous (19y)/(12y-13)

$\frac{19 y}{12 y - 13}$

Step 1

Set the denominator in $\frac{19 y}{12 y - 13}$ equal to $0$ to find where the expression is undefined.

$12 y - 13 = 0$

Step 2

Solve for $y$ .

Add $13$ to both sides of the equation.

$12 y = 13$

Divide each term in $12 y = 13$ by $12$ and simplify.

Divide each term in $12 y = 13$ by $12$ .

$\frac{12 y}{12} = \frac{13}{12}$

Simplify the left side.

Cancel the common factor of $12$ .

Cancel the common factor.

$\frac{12 y}{12} = \frac{13}{12}$

Divide $y$ by $1$ .

$y = \frac{13}{12}$

Step 3