The system of equations are and .

Solve the system of equations with elimination method.

Step 1:

Multiply each equation in the 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)

The solutions are and .

The solution of the system is .