\"\"

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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 x-terms, +10 and -10, 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 x.

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

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\"\"                            (Divide each side by 6)

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\"\"                                  (Cancel common terms)

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

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Now Substitute 16 for y in either equation to find the value of x.

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\"\"                 (Equation 1)

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\"\"          (Replace y by 16)

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

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\"\"  (Add 144 to each side)

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

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\"\"                       (Add: 46 + 144 = 190)

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\"\"                 (Divide each side by 10)

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\"\"                         (cancel common terms)

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

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The solution is (x, y) = (19, 16)

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\"\"

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The solution is (x, y) = (19, 16).