\"\"

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Elimination method:

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Given equations are,

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\"\" ----------(1)

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\"\"----------(2)

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When the coefficients of a variable \"\" and \"\" are same,

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subtracting the equations will eliminate the variable.\"\"

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Subtracting (2) and (1) equations will eliminate the variable y.

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\"\"           (Subtracting (2) and (1) equations)

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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 common terms)\"\"

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Substitute \"\" for x in either equation to find y.

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\"\"                        (First equation)

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\"\"                     (Substitute \"\")

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\"\"                           (Apply multiplicative identity property: \"\")

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Apply commutative property of addition: \"\".

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\"\"\"\"

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\"\"              (Subtract 6 from each side)

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

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

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

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\"\"                (Multiply each side by negative sign)

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\"\"                                    (Product of two same signs is positive sign)

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\"\"                               (Divide each side by 2)

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\"\"                                    (Cancel common terms)

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

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Check the solution:

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To Check, substitute \"\"and  \"\" in either equation.

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\"\"                             (First equation)

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\"\"                  (Substitute \"\" and  \"\")

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

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

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The solution  \"\" is true.\"\"

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The solution is \"\".