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 2nd 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: )

                             (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)

            (Add to each side)

                                       (Apply additive inverse property: )

                                  (Divide each side by )

                                         (Cancel common terms)

Therfeore, the solution is , and .

Check solutions for and values.

                        (First equation)

           (Substitute , and )

                        (Multiply)

                                 (Combine like terms)

Therefore, the solution of the system is .

Solution of the system is .