Elimination method:

Given equations are,

----------(1)

----------(2)

First eqution has multiply each side by 2.

                    (First equation)

      (Apply distributive property: )

                   (Multiply: )

-------(3)           

(2) and (3) equations when the coefficients of a variable and are opposites, adding the equations will eliminate the variable.

Adding (2) and (3) equations will eliminate the variable y.

            (Adding (2) and (3) equations)

Substitute  for x in either equation to find y.

                     (Second equation)

                 (Substitute  )

                          (Apply zero property: )

                                (Apply additive identity property: )

                            (Divide each side by 6)

                                 (Cancel common terms)

                                                   (Divide: )

Check the solution:

To Check, substitute  and  in either equation.

                          (First equation)

                   (Substitute and  )

                          (Apply zero property: )

                                (Multiply: )

                                   (Apply additive identity property: )

The solution  is true.

The solution is .