Question

Find whether the following pair of linear equations is consistent or inconsistent 3x+2y=8 6x-4y=9

Answer 1

3x+2y=8
6x-4y=9
a₁/a₂=3/6=1/2 and
b₁/b₂=2/-4=1/-2
∵, a₁/a₂≠b₁/b₂
∴, The given equations are consistent.

Answer 2

Solution:-
a₁ = 3 and a₂ = 6
b₁ = 2 and b₂ = - 4
c₁ = 8 and c₂ = 9
a₁/a₂ = 3/6 = 1/2
b₁/b₂ = 2/-4 = 1/-2
c₁/c₂ = 8/9
Since, a₁/a₂ ≠ b₁/b₂ or 1/2 ≠ 1/-2, hence the following pair of linear equation is consistent.