Since the matrices are equal, the corresponding elements are equal.

Write two linear equations.

3x + 2=23

– 4y – 1=15

First consider the equation 1.

3x + 2=23                   (subtract 2 from each side)

3x=21                          (subtract: 23 – 2=21)

                  (Divided each side by 3)

x =7                              (Divide: )

Next consider the second equation.

-4y - 1=15                   (Add 1 to each side)

-4y = 16                       (Add: 15 + 1 = 16)

                (Divided each side by 4)

– y = 4                          (Divide:)

y = – 4                          (Multiply each side by negative one)

The solution is (7, – 4)