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 a variable.

                  (Divide each side by )

                             (Cancel common terms)

Step 3:

Substitute into any original equation to find value.

                (First equation)

          (Substitute )

               (Multiply)

   (Add to each side)

                       (Apply additive inverse property: )

                   (Divide each side by )

                                (Cancel common terms)

The solution of the system is .

The solution of the system is .