MCQ
$a x+b y=c$ and $m x+n y=d$ and $a n \neq b m$ then these simultaneous equations have -
  • Only one common solution
  • B
    No solution
  • C
    Infinite number of solutions
  • D
    Only two solutions

Answer

Correct option: A.
Only one common solution
Given: $a x+b y=c$ and $m x+n y=d$
Then,
$\frac{a}{m} \neq \frac{b}{n}, \text { as an } \neq b m$

Now, we know that when the ratio of coefficients is not equal.
Equations will have unique solution. Hence, A is the correct answer.

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