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)

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.

                  (Second equation)

               (Substitute )

                  (Multiply)

(Subtract from each side)

                    (Apply additive inverse property: )

               (Divide each side by )

                           (Cancel common terms)

The solution are and .

The solution of the system is .