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PAGE NO. 269      PROBLEM NO. 9 \ \ \"\"

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The equations are

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\"\"                         Equation (1)

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\"\"                         Equation (2)

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Since the coefficients of the y-terms are additive inverses, you can eliminate these terms by adding the equations. Add the equations to eliminate variable y.

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Write the equations in column form and add the corresponding columns.

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\"\"

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Apply division property of equality: If a = b then \"\"

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\"\"                           (Divide each side by 4)

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\"\"                                (Cancel commen terms)

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\"\"                                  (Divide: \"\")\"\"

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Now substitute \"\" for x in either equation to find the value of y.

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\"\"                        (Equation 1)

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\"\"                  (Replace x by \"\" )

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\"\"                      (Multiply: \"\")

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\"\"                         (Divide: \"\")

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Apply subtraction proparty of equality: If a = b then \"\"

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\"\"         (Subtract 18 from each side)

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\"\"         (Commutative proparty: \"\" )

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\"\"                              (Additive invere proparty: \"\")

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\"\"                             (Subtract: \"\")

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Apply division property of equality: If a = b then \"\"

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\"\"                        (Divide each side by –3)

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\"\"                                (Cancel commen terms)

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\"\"                                      (Divide:\"\")

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The solution is \"\"

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\"\"

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The solution is \"\".

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