Question 14572
Kramers rule is used to solve simultaneous equations.In the working given below let me use the notation {{{(matrix(2,2,1,2,3,4))}}}to represent  the determinant.However,in actual practice we should use |xxx|to indicate a determinant ,while (xxx)is used to represent a matrix.I shall check with the network authorities on how to represent determinants in their software. 
 In the present case there are 3 equations to solve for 3 unknowns.
The solution is given by Kramer's rule as follows. 
 x/{{{(matrix(3,3,-2,3,1,-5,5,1,6,2,3))}}}=
 y/{{{(matrix(3,3,1,-2,1,2,-5,1,1,6,3))}}}=
 z/{{{(matrix(3,3,1,3,-2,2,5,-5,1,2,6))}}}=
 1/{{{(matrix(3,3,1,3,1,2,5,1,1,2,3))}}}
evaluating the determinants we get 
 x/(-3)=y/6=z/(-9)=1/(-3)
  hence x=1
        y=-2
        z=3