\"\"

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The equations are

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\"\"              Equation (1)

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\"\"                   Equation (2)

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Multiply the second equation by 5

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Now the equation is

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\"\"

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\"\"             Equation (2)\"\"

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Since the coefficients of the y-terms, -20 and +20, are additive inverses,

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you can eliminate these terms by adding the equations.

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Add the equations to eliminate variable y.

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\"\" (write the equations in column form and add)

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\"\"                       (Divide each side by 26)

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\"\"                                (Cancel common terms)

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

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Now Substitute 8 for x in either equation to find the value of y.

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\"\"                 (Equation 2)

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\"\"             (Replace y by 16)

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

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\"\"  (Subtract 24 from each side)

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\"\"                (Apply additive inverse property: \"\")

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

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\"\"                    (Divide each side by 4)

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\"\"                         (Cancel common terms)

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

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The solution is (x, y) = (24, 3)

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\"\"

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The solution is (x, y) = (24, 3).