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Saturday 10th of August
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 Depdendent Variable

 Number of equations to solve: 23456789
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 Dependent Variable

 Number of inequalities to solve: 23456789
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# Solving Rational Equations

• A rational equation is an equation containing one or more rational expressions (usually one of these has a variable in the denominator).
• There are two things to watch for in the procedure below.
• It’s the fractions that make a rational equation look scary. Thus, the first part of the procedure below acts to eliminate the fractions.
• We have to remember that certain numbers make a rational expression undefined. Those numbers CANNOT be solutions, so the last part of the procedure below checks to make sure that none of our “solutions” are BAD numbers.

Procedure: (Solving a Rational Equation)

1. Eliminate the fractions from the equation as follows:

• Find the LCD of all fractions (on BOTH sides of the “=”).
• Multiply each term by the LCD (over 1), REGARDLESS OF WHETHER THAT TERM IS A FRACTION OR NOT!!

2. Solve the resulting equation.

3. Check the solutions found in step 2 to make sure that they do not make any of the denominators 0. Throw any that do out.