ax + by = c and mx + ny = d and an ≠ bm then these simultaneous equations have -

Choose correct alternative.

(A) Only one common solution. (B) No solution. (C) Infinite number of solutions. (D) Only two solutions.

Doubtly Asked 24 Oct 2026 Save WhatsApp Report

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Answer: (A) Only one common solution.

Here \(D = \begin{vmatrix} a & b \\ m & n \end{vmatrix} = an - bm \neq 0\). When \(D \neq 0\), \(x = \frac{D_x}{D}\) and \(y = \frac{D_y}{D}\) have exactly one value each, so the lines intersect in exactly one point: a unique solution.

Doubtly AI · 24 Oct 2026 AI-verified · Oct 2026 Report

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ax + by = c and mx + ny = d and an ≠ bm then these simultaneous equations have -

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