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 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: )

Step 3:

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

                   (Third equation)

       (Substitute and )

                        (Multiply)

                            (Combine like terms)

          (Add to each side)

                           (Apply additive inverse property: )

                                         (Subtract: )

                                         (Multiply negative one each side)

The solution are , and .

Check solutions for and values.

                    (Third equation)

   (Substitute , and )

                            (Multiply)

                                (Combine like terms)

                                   (Simplify)

Therefore, the solution of the system is .

Solution of the system is .