Finite Math Examples

$\frac{7}{9 y + 8}$

Step 1

Set the denominator in $\frac{7}{9 y + 8}$ equal to $0$ to find where the expression is undefined.

$9 y + 8 = 0$

Step 2

Solve for $y$ .

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Step 2.1

Subtract $8$ from both sides of the equation.

$9 y = - 8$

Step 2.2

Divide each term in $9 y = - 8$ by $9$ and simplify.

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Step 2.2.1

Divide each term in $9 y = - 8$ by $9$ .

$\frac{9 y}{9} = \frac{- 8}{9}$

Step 2.2.2

Simplify the left side.

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Step 2.2.2.1

Cancel the common factor of $9$ .

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Step 2.2.2.1.1

Cancel the common factor.

$\frac{9 y}{9} = \frac{- 8}{9}$

Step 2.2.2.1.2

Divide $y$ by $1$ .

$y = \frac{- 8}{9}$

Step 2.2.3

Simplify the right side.

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Step 2.2.3.1

Move the negative in front of the fraction.

$y = - \frac{8}{9}$

Step 3