The system of equations are , and .

Solve the system of equations with elimination method.

Step 1:

Eliminate one variable by using two pairs of equations.

Add the 1st and 3rd equations to eliminate the one varible.

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: )

                                      (Subtract: )

                                 (Divide each side by )

                                          (Cancel common terms)

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 solution is , and .

Check solutions for and values.

                       (Second equation)

            (Substitute , and )

                      (Multiply)

                            (Combine like terms)

                                          (Subtract: )

Therefore, the solution of the system is .