Question

Choose correct alternative for the following question.
ax + by = c and mx + ny = d and an ≠ bm then these simultaneous equations have -

Options

• Only one common solution.

• No solution.

• Infinite number of solutions.

• Only two solution.

Answer 1

ax + by = c and mx + ny = d
\[\text{D} = \begin{vmatrix}a & b \\ m & n\end{vmatrix} = an - bm\]
an ≠ bm 
So, D ≠ 0. 
So, the given equations have a unique solution or only one common solution.
Hence, the correct answer is Only one common solution.