The next step is the backward substitution step. The last row is multiplied by c_{N-3}/b_{N-2} and subtracted from the second to last row, thus eliminating c_{N-3} from the last row. The general backward substitution procedure is
c_i = 0,and
f_{i-1} = f_{i-1} - \frac{c_{i-1}}{b_i}f_iAll that ramains to be computed is the solution, which is the very straight forward process of
x_i = \frac{f_i}{b_i}