A
Simulator For Solving A Four Resistor Ladder Network
Here is the circuit you are going to use. To use the simulator, follow
the steps below.

Get all coefficients in
the equation (by clicking every element). You need to fill in all
of the places in the conductance matrix, and source vector, as appropriate,
and you need to get all of the information into the conductance matrix
and source vector  for every element.

Normalize the second row
in the conductance matrix by making the first coefficient the negative
of the same coefficient one row above. You are using a standard method
for solution of these simultaneous equations.

Add the two rows and replace
the second row by the sum of the two rows.

Solve the second equation
for V_{y}.

Backsubstitute the second
equation into the first.
Solve the first equation
for V_{x}.