The equation is

The matrices have the same dimensions and the corresponding elements are equal. Form the two linear equations by writing the sentences to show the equality.

              Equation(1)

                    Equation(2)

Solve the system using substitution method.

The first equation is .

According to subtraction property of equality: if , then

                        (Subtract X from each side).

                        (Apply Commutative property: a + b = b + a)

                                    (Apply Additive inverse property: x - x = 0)

                               (Divide each side by 3).

                                    (Cancel common terms)

Substitute in second equation.

            (Multiply each side by 3).

                           (Multiply the factors).

                                        (Simplify).

According to addition property of equality:  if , then .

                       (Add 13 to each side).

                                              (Add: ).

                                         (Divide each side by 8).

                                                  (Divide: ).

Substitute in first equation.

According to subtraction property of equality: if , then

                       (Subtract 2 from each side)

                       (Apply Commutative property: a + b = b + a)

                                   (Apply Additve inverse property: x - x = 0)

                                          (Add: - 13 - 2 = -15)

                                    (Divide each side by 3)

                                              (Simplify)

The solution is .