Elimination Method:

The system of equations are

                                         (Equation 1)

                    (Equation 2)

Neither variable has a common coefficient.The coefficient  of the u - variables are and their least common multiply is ,so multiply each equation by the values that will make the u - coefficient .

Add the equations to eliminate u - variable.

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

The result value is .

Now, find the u value by substitute in either equations.

                                         (Write equation 1)

                                           (Subtract from each side)

                                                 (Divide each side by )

                         (Substitute )

                                         (Simplify)

To check the solutions,the values of u and v are substitute in system of equations.

                                                           (Write original equation 1)

   (Substitute values of u and v)

                                                                                        (Equation 1 checks)

                                     (Write original equation 2)

(Substitute values of u, v)

                                            (Equation 2 checks))

The solutions are .