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 the one 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.

                             (Third 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.

                             (Third equation)

               (Substitute , and )

                           (Multiply)

                                 (Combine like terms)

                                               (Subtract: )

Therefore, the solution of the system is .

Solution of the system is .