function y=pivot(ix,jx,x)
%

%Author: David Ivers
if x(ix,jx) == 0
   error('Pivot element is zero.')
end;
y(ix,:) = x(ix,:)/x(ix,jx);
[m,n]=size(x);
m=m-1;
for k=1:ix-1 
    y(k,:) = x(k,:) - x(k,jx)*y(ix,:);
end;
for k=ix+1:m
    y(k,:) = x(k,:) - x(k,jx)*y(ix,:);
end;
y(:,jx) = zeros(m,1);
y(ix,jx) = 1;
   y(m+1,:) = x(m+1,:);
t=displaytableau(y);