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Unformatted text preview: Lecture 5: Section A.5 Solving Equations Def. An equation in x is a statement that two algebraic expressions are equal. To solve an equation is to nd all values of x for which the equation is true. Such values of x are solutions (or roots, zeros ) of the equation. NOTE: If an equation has no solution, the solution set is empty , written as ; . ex. Solve the equation j x 1 j = 2 Linear Equations Def. A linear equation in one variable x is an equation of the form ax + b = 0 where a and b are real numbers with a 6 = 0. To solve a linear equation: 1. Remove all parenthesizes and simplify each side of the equation as much as possible. 2. Rewrite the equation by isolating the variable : variable terms on one side, numbers on the other. 3. Solve for the variable and check your solution. ex. Solve 6( x 1) + 4 = 3(7 x + 1) NOTE: A linear equation has exactly one solution. Solve a linear equation with fractions: multiply both sides by LCD to clear the fraction....
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This note was uploaded on 07/08/2011 for the course MAC 1140 taught by Professor Williamson during the Spring '08 term at University of Florida.
 Spring '08
 WILLIAMSON
 Calculus, Algebra

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