The system of equations are and .

Solve the system of equations by elimination method.

Step 1:

Multiply each equation with a suitable multiplier.

Case (i):

                  (First equation)

         (Multiply each side by )

           (Multiply)

Case (ii):

                     (Second equation)

           (Multiply each side by )

              (Multiply)

Step 2:

Add the equations to eliminate the one varible.

               (Divide each side by )

                             (Cancel common terms)

Step 3:

Substitute into any original equation to find value. 

                     (Second equation)

                (Substitute )

                   (Multiply)

   (Add to each side)

                            (Apply additive inverse property: )

                      (Divide each side by )

                                (Cancel common terms)

Therefore, the solution are and .

The solution of the system is .