Elimination method:

Given equations are,

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

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

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

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

          (Adding (1) and (2) equations)

                  (Multiply each side by negative sign)

                            (Product of two same signs is positive sign)

                                (Product of two different signs is negative sign)

Substitute for v in either equation to find c.

                       (Second equation)

                 (Substitute  )

                          (Multiply: )

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

             (Add 6 to each side)

                            (Apply additive inverse property: )

                                  (Apply additive identity property: )

                              (Divide each side by 5)

                                   (Cancel common terms)

                                        (Divide: )

Check the solution:

To Check, substitute and  in either equation.

                         (Second equation) 

               (Substitute and  )

                      (Apply zero property: )

                                (Multiply: )

                                   (Apply additive identity property: )

The solution  is true.

The solution is .