Elimination method:

Given equations are,

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

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

First equation has multiply each side by 5.

                    (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)

Apply division property of equality: If a = b then .

                      (Divide each side by 12)

                              (Cancel common terms)

                                   (Divide: )

Substitute for x in either equation to find y.

                          (Second equation)

                    (Substitute  )

                        (Multiply: )

                           (Apply commutative property: )

Apply addition property of equality: If a = b then .

          (Add 14 to each side)

                     (Apply additive inverse property: )

                            (Apply additive identity property: )

                                     (Add: )

                                (Divide each side by 5)

                                     (Cancel common terms)

                                                        (Divide: )

Check the solution:

To Check, substitute and  in either equation.

                                 (First equation)

                              (Substitute and  )

                                     (Subtract: )

The solution  is true.

The solution is .