The system of equations are , and .

Solve the system of equations by elimination method.

Step 1:

Eliminate one variable by using two pairs of equations.

Subtract the 2^nd and 3^rd equations to eliminate a variable.

Step 2:

Solve the system of two equations containing and to find value.

                           (Divide each side by )

                                             (Cancel common terms)

Substitute into system of equation of and to find value.

                       (Simplified equation)

                    (Substitute )

                       (Multiply)

  (Subtract from each side)

                                   (Apply additive inverse property: )

                           (Divide each side by )

                                         (Cancel common terms)

Step 3:

Substitute values of and into one of the original equation to find value.

                        (First equation)

                (Substitute and )

                        (Multiply)

                                (Combine like terms)

                (Subtract from each side)

                                           (Apply additive inverse property: )

                                      (Divide each side by )

                                             (Cancel common terms)

Therefore, the solution is , and .

Check solutions for and values.

                    (Second equation)

               (Substitute , and )

                    (Multiply)

                                      (Combine like terms)

Therefore, the solution of the system is .

The solution of the system is .