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 variable.

              (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 of the system is .

The solution of the system is .