# Topic 14 - When you solve the equation by looking at the...

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*SOLVING LINEAR EQUATIONS* *In the Overview you worked with a rule that described the cost of renting a car as a function of the number of miles driven: You knew the cost, \$35.80, but did not know the number of miles. When you substituted the cost into the function rule, you had a linear equation that you could solve: When you need to solve equations, you can use several methods. You can use tables, graphs, or algebraic operations, using the idea of inverse operations to isolate the variable. **Think about how the different methods are related to one another. For example, to solve : Analytical solution Graphical solution Tabular solution The solution is x = 2. When you solve the equation by hand, you simplify the equation until you can see that the variable is equal to 2. When you solve the equation by graphing it, the solution is the x-value at the intersection of the lines representing each side of the equation, (2,3).

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Unformatted text preview: When you solve the equation by looking at the data table, the solution is the x-value when the y-values for both equations are the same. When and are both 3, X is 2. (That is where the lines intersect in the graphical solution.) Any of these approaches gives you the same answer. ***A final note for this topic: You may find one approach to solving equations works well for you. However, as you continue your study of algebra there will be problems that are more easily solved by using a graph or setting up a table. Therefore, you should practice all three methods and understand how each gives the solution to the equation. As you gain more practice solving equations you will have tools to determine the best strategy for when to: solve by hand (analytically). solve with a graph. solve using a table....
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## This note was uploaded on 10/03/2011 for the course ALCOHOLEDU 1 taught by Professor Berkeley during the Spring '08 term at University of California, Berkeley.

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Topic 14 - When you solve the equation by looking at the...

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