Help with this matrix problem?

Question

b) Use the result to find the solution of the system:
5x+3y = 28
4x+6y = 26

 

Using matrix method

Answer 1

         ( Using Gause jordhan method)

                  ( The solutions of equation : x = 5 and y = 1).

Answer 2

 

 

Recall Cramer's rule, Consider the linear system

ax + by = e

cx + dy = f

which in matrix format is  and assume 

Then, x and y can be found with Cramer's rule as

  and

Solve the equation using Cramer's rule

5x+3y = 28
4x+6y = 26

Solve system of equation using the Cramer's rule

Solutions of the system is (5, 1)