Question

Assertion (A): If the graphical representation of a system of equations results in two parallel lines, the system is inconsistent. Reason (R): In an inconsistent system, there is no point common to both lines.

A pair of linear equations a₁x + b₁y + c₁ = 0; a₂x + b₂y + c₂ = 0 is said to be inconsistent, if

Assertion (A): A pair of linear equations in two variables that is inconsistent has no common solution. Reason (R): Inconsistent equations correspond to two intersecting lines.

Is the pair of equations x + 2y = 4 and 2x + 4y = 12 consistent or inconsistent? Justify in one line.