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.

Add 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: )

Step 3:

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

                          (Second equation)

                       (Substitute and )

                          (Multiply)

                                (Combine like terms)

                (Subtract from each side)

                                       (Apply additive inverse property: )

                                    (Divide each side by )

                                         (Cancel common terms)

Therefore, the solutions  are , and .

Check solutions for and values.

                          (Second equation)

                  (Substitute , and )

                         (Multiply)

                               (Combine like terms)

                                        (Subtract: )

The solution of the system is .

Solution of the system is .