Rational equations are simply equations with rational expressions in them. Use the technique outlined earlier to clear the fractions of a rational equation. After clearing the fractions, we will be left with either a linear or a quadratic equation that can be solved as usual.
Step 1: Factor the denominators.
Step 2: Identify the restrictions.
Step 3: Multiply both sides of the equation by the LCD.
Step 4: Solve as usual.
Step 5: Check answers against the set of restrictions.
Tip: It suffices to check that the answers are not restrictions to the domain of the original equation.
Solve for the specified variable.
Word Problem: The reciprocal of the larger of two consecutive positive odd integers is subtracted from twice the reciprocal of the smaller and the result is 9/35. Find the two integers.