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The pair of equations 3x – 5y = 7 and –6x + 10y = 7 have
Assertion (A): The pair of equations 2x + 3y = 6 and 4x + 6y = 10 are consistent. Reason (R): They represent parallel lines.
Assertion (A): The graph of a pair of linear equations is a pair of parallel lines if there is no solution. Reason (R): Parallel lines never intersect and hence are inconsistent.
Assertion (A): If a₁/a₂ = b₁/b₂ ≠ c₁/c₂, the system is inconsistent. Reason (R): Such a system represents parallel lines.
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.
Solve: x + 2y – 4 = 0, 2x + 4y – 12 = 0
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