x_y_z = [1 -1 -5;3 1 -3;0 1 -1] \ [5 5 -4].';
And crosschecking the second line:
>> 3*x_y_z(1)+x_y_z(2)-3*x_y_z(3) ans = 5
The values in the matrix to the left of the \ have been read off from the x, y, and z coefficients of the linear equations. The values in the vector to the right of the \ have been read off from the implicit right hand sides (constant terms) of the linear equations.
Best Answer