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).

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

                                    (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) \ \

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

                                   (Additve inverse property: x - x = 0)

                                          (Add: - 13 - 2 = -15) \ \                                     (Divide each side by 3)

                                              (Simplify) \ \

The solution is .