Elimination method:

Given equations are,

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

   ----------(2)

Second equation has multiply each side by 2.

(Apply distributive property: )

             (Multiply: )

When the coefficients of a variable and are opposites, adding the equations will eliminate the variable.

Adding (1) and (2) equations will eliminate the variable x.

               (Adding (1) and (2) equations)

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

                            (Divide each side by 7)

                                 (Cancel common terms)

                                      (Divide: )

Substitute for y in either equation to find x.

                          (First equation)

                      (Substitute  )

                          (Multiply: )

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

           (Subtract 30 from each side)

                     (Apply additive inverse property: )

                           (Apply additive identity property: )

                                     (Subtract: )

                                 (Divide each side by 8)

                                      (Cancel common terms)

                                                      (Divide: )

Check the solution:

To Check, substitute and  in either equation.

                            (First equation)

                      (Substitute and  )

                               (Multiply: )

                                     (Add: )

The solution  is true.

The solution is .