1. 9.6 Solving Rational Equations

2. Solving A Rational Equation
To solve rational expression…
Multiply each term on both sides by the LCD
Simplify
Solve

3. Examples:

4. Examples:

5. Solving Rational Equations
Cross multiplying Method:
Used for solving simple rational equations
Must have single rational expressions on each side of the equation
Cross multiply and solve

6. Examples:

7. Examples:

8. Examples:
You have 1.4 liters of an acid solution whose acid concentration is 2.1 moles per liter. You want to dilute the solution with water so that its acid concentration is 1.5 moles per liter. How much water should you add to the solution?

9. Example:
You have 3.2 liters of a 54% acid solution. You want to strengthen the solution with pure acid so that its concentration is 75%. How much acid should you add to the solution?

10. Example:
Use a graph of the rational model to find the value of x when y=1.2.

11. In economics, an increasing supply curve means that as prices increase, sellers usually increase production. A decreasing demand curve means that as prices increase, consumers by less. Suppose that a market situation is modeled y the following equations:
Supply:
Demand:
Find the equilibrium price (the price at which the supply equals the demand).