Handout 2

# Handout 2 - have a variable If the solution is correct both...

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N N N O O O R R R T T T H H H C C C A A A R R R O O O L L L I I I N N N A A A S S S T T T A A A T T T E E E U U U N N N I I I V V V E E E R R R S S S I I I T T T Y Y Y College of Management – Department of Economics Instructor: Kosmas Marinakis Handout 2: Solving Linear Equations A linear equation is an expression of the form: a·x + b = c . For example the expression: 5 x + 2 = 12 is a linear equation. Every linear equation contains one variable, usually called . By solving the equation we can find which value of the variable satisfies the equality. In order to solve for we have to follow five simple steps. The Five Steps 1. Remove any parentheses and combine like terms, if possible, on each side of the equation. 2. Clear any fractions by multiplying all terms on both sides by the LCD (least common denominator). 3. Group like terms on each side of the equal sign. 4. Isolate on one side of the equation by adding or subtracting to combine like terms across the equal sign. 5. Divide or multiply both sides of the equation by the coefficient of . Then, we can check our solution by substituting the answer into the original equation wherever we
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Unformatted text preview: have a variable. If the solution is correct, both sides of the equation will be equal. In the step list above some steps might not be necessary. EXAMPLE: 0.5(5 + 2) = 24/2 (1) Step 1: Multiply both terms of the parenthesis with 0.5 to eliminate the parenthesis. Equation becomes: 2.5 + 1 = 24/2 Step 2: Multiply both sides by 2 to eliminate the fraction of the Right Hand Side. Equation becomes: 5 + 2 = 12 Step 3: There are no like terms in each side so we go to step 4. Step 4: We subtract from both sides 2 in order to eliminate the 2 in the Left Hand Side (LHS). Equation becomes: 5 = 10 Step 5: We divide both sides by 5 to cancel the 5 from the LHS and therefore = 2 Now, try to put 2 instead of in equation (1) and check if the two sides are equal....
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## This note was uploaded on 04/21/2009 for the course EC 202 taught by Professor Sturgill during the Spring '07 term at N.C. State.

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