# Algebra Examples

Write as an equation.

Interchange the variables.

Rewrite the equation as .

Add to both sides of the equation.

Divide each term by and simplify.

Divide each term in by .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Replace the with to show the final answer.

To verify the inverse, check if and .

Evaluate .

Set up the composite result function.

Evaluate by substituting in the value of into .

Combine the numerators over the common denominator.

Simplify the numerator.

Add and .

Add and .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Evaluate .

Set up the composite result function.

Evaluate by substituting in the value of into .

Simplify each term.

Apply the distributive property.

Cancel the common factor of .

Cancel the common factor.

Rewrite the expression.

Cancel the common factor of .

Cancel the common factor.

Rewrite the expression.

Combine the opposite terms in .

Subtract from .

Add and .

Since and , then is the inverse of .