Elimination Method:

The equations are

                                   Equation (1)

                                Equation (2)

Multiply the first equation by 5.

                            Equation (3)     

Multiply the second equation by 2.

                                          Equation (4)    

Since the coefficients of the y-terms are additive inverses, you can eliminate

these terms by adding the equations.  Add the equations to eliminate variable y.

Write the equations in column form and add the corresponding columns.

Apply division property of equality: if a = b then 

                                (Divide each side by negative 23)

                                          (Cancel common terms)

                                                  (Divide: )

Now, find the x value by substituting in either equation.

              (Equation 1)

                                         (Multiply: )

                             (Add 6 to each side)

                                   (Apply additive inverse property: )

                                         (Apply additive identity property: )

                                               (Add: )

Apply division property of equality: if a = b then 

                                          (Divide each side by 2)

                                               (Cancel common terms)

                                                 (Divide: )

The solution is .