Question

Check wether the pair of linear equation x+3y-6=0 and 2x+17y-30=0 is consistent

Answer 1

Comparing the given equations with a₁x+b₁y+c₁=0 and a₂x+b₂y+c₂=0        here a₁/a₂=1/2 ; b₁/b₂=3/17.      now, as here a₁/a₂≠b₁/b₂   ∴the equation has an unique solution .thus it is consistent.