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

  • question_answer
    If the pair of linear equations \[5x+ky-3=0\] and \[8x+\frac{2}{5}y+k=0\] has a unique solution, which of the following is true?

    A)  \[k=\frac{8}{3}\]                     

    B)  k is not an integer

    C)  \[k=\frac{6}{7}\]                     

    D)  \[k\ne \frac{1}{4}\]

    Correct Answer: D

    Solution :

    (d): \[\frac{5}{8}\ne \frac{k}{2/5}\ne \frac{-3}{k}\] \[\therefore \] Among the options, \[k\ne \frac{2}{5}\times \frac{5}{8}\] matches.


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