Which of the following pairs of linear equations are consistent/inconsistent ? If consistent, obtain the solution graphically :

2x - 2y - 2 = 0, 4x - 4y - 5 = 0

Given,

Equations :

⇒ 2x - 2y - 2 = 0, 4x - 4y - 5 = 0

Comparing equations 2x - 2y - 2 = 0 and 4x - 4y - 5 = 0 with a₁x + b₁y + c₁ = 0 and a₂x + b₂y + c₂ = 0 respectively, we get :

a₁ = 2, b₁ = -2, c₁ = -2, a₂ = 4, b₂ = -4 and c₂ = -5.

$\dfrac{a$1}{a2} = \dfrac{2}{4} = \dfrac{1}{2}

$\dfrac{b$1}{b2} = \dfrac{-2}{-4} = \dfrac{1}{2}

$\dfrac{c$1}{c2} = \dfrac{-2}{-5} = \dfrac{2}{5}

Since, $\dfrac{a$1}{a2} = $\dfrac{b$1}{b2} ≠ $\dfrac{c$1}{c2}.

Hence, pair of lines are inconsistent.