mac1147_lecture4_1_b

# mac1147_lecture4_1_b - L4 Linear Equations and Applications...

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40 L4 Linear Equations and Applications Equations An equation is a statement in which two expressions, at least one containing a variable, are equal. A solution set of an equation is the set of all real numbers that satisfy the equation. If an equation has no solutions, then we say that the solution set is empty. The notation used: . Example . 53 51 x x += + If an equation is satisfied by every number which is a meaningful replacement for the variable, it is called an identity . Example . 22 (1 ) 21 x xx + + The equations with the same solution set are called equivalent equations . Example . 25 3 x x −=− Process of solving an equation is step-by-step replacing it with an equivalent until the solution set becomes obvious

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41 Linear Equations An equation of the form 0 ax b + = where a and b are real numbers and 0 a , is called a linear equation in one variable . Solving Linear Equations : 1. Simplify both sides as much as possible. If necessary, clear the equation of fractions by multiplying both sides by the LCM of the
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## This note was uploaded on 11/07/2011 for the course MAC 1147 taught by Professor German during the Summer '08 term at University of Florida.

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mac1147_lecture4_1_b - L4 Linear Equations and Applications...

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