Linear Equations (1)

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Linear Equations:

Linear Equations Involving Fractions

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A Procedure for Solving Linear E quations I nvolving Fractions Step 1: Find the LCD of ALL the denominators Step 2: Multiply both sides of the equations by the LCD Step 3: Distribute the LCD and simplify Step 4: Solve the resulting equation (which should not have any fractions)

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Example 1 Solve:   Step 1: Find the LCM of 5 and 2 The LCM of 5 and 2 is 10

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Step 2: Multiply both sides of the equation by 10   10 10  

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Step 3: Distribute the 10 on both sides and simplify            

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Step 4: Solve     Subtract from both sides of equation     Simplify   Divide both sides by 12   Answer    

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Example 2 Solve for :   Step 1: Find the LCM of 2 and 4 The LCM of 2 and 4 is 4

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Step 2: Multiply both sides of the equation by 4 4     4

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Step 3: Distribute the 4 on both sides and simplify     4 4      

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Simplify        

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      Subtract x from both sides of equation       Subtract 16 from both sides   Answer

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