mac1105_lecture5_1

# mac1105_lecture5_1 - L5 Linear Equations and Applications...

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41 L5 Linear Equations and Applications An equation in one variable is a statement in which two expressions at least one containing the variable are equal. The solution set of an equation is the set of all real numbers that satisfy the equation. If an equation has no solutions, 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 −=− The process of solving an equation is step-by-step replacing it with an equivalent equation until the solution set becomes obvious.

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42 Linear Equations An equation equivalent to the one of the form 0 ax b + = where a and b are real numbers and 0 a , is called the linear equation in one variable . Solving Linear Equations : 1. Simplify both sides as much as possible. If
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## This note was uploaded on 11/07/2011 for the course MAC 1105 taught by Professor Picklesimer during the Fall '10 term at University of Florida.

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mac1105_lecture5_1 - L5 Linear Equations and Applications...

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