| =1(10α−9α)−1(5α−3)+1(3α2−2α) =α−5α+3+3α2−2α =3α2−6α+3 For inconsistency ∆=0 i.e. α=1 Now check for α=1 x+y+z=1‌‌...(i) x+2y+3z=−1‌‌...(ii) ‌ By (ii) ‌×2−‌ (i) ‌×1 x+3y+5z=−3 so equations are inconsistent for α=1