10th Class Mathematics Pair of Linear Equations in Two Variables Question Bank Pair of Linear Equations in Two Variables

  • question_answer If am = bl and \[bn\ne cm,\]then the system of equations                              \[ax+by=c\]                \[lx+my=n\]               

    A)  Has a unique solution.             

    B)  Has no solution.

    C)  Has infinitely many solutions.       

    D)  May or may not have a solution.    

    Correct Answer: B

    Solution :

    We have, \[ax+by=c\]and \[lx+my=n\] Now, \[\frac{a}{l}=\frac{b}{mn}\ne \frac{c}{n}\]  (given)                     \[\therefore \] The given system of equations has no solution.

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