Given the the Linear System:
ax + by = c
dx + ey = f
For a linear system we have two matrixes as input data:
1  The Matrix of the Coefficients
or Matrix A
[ [a b] [d e] ]
2  the Matrix of Independent Terms
or Matrix B
[ [ c ] [ f ] ]
In HP48/49 we write a matrix as:
[ [ row1] [row2]
[ row3] ....[rown]]
and to solve the linear system we can
follow the steps below,
Example 1:
Solve the Linear System 2x+3y=2 5x+6y=9 
Example 2:
Solve the Linear System 2x+3y+4z=2 5x+2y+3z=3 5x+6y+3z=9 
Press SOLVE
to access the Solve Lin Sys aplication 
Press SOLVE
to access the Solve Lin Sys aplication 
Enter the matrixes as
shown in the picture 
Enter the matrixes as
shown in the picture 
Set the browswer bar on the field X and press SOLVE Result

Set the browswer bar on the field X and press SOLVE Result x=.2142854174286 y=3 z=2.64285714286 
You can also use the Equation Writer to
write
the matrixes 
Write the Matrix A 
Write the Matrix B 
and see the result 
Lets solve the linear system  
(5+j3)x + 7j y = 8 j6x + (7j3) x = 3 

In HP48/49 syntax we write: (5,3) (0,7) (0,6) (7,3) 
Press and to see the entrance in full screen. 
Enter the data for independent terms and press SOLVE, in the menu. 

Press ENTER to see the result on the stack. Press EDIT to best see the result. 