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

  • question_answer
    For what value of k, do the equations \[3(k-1)x+4y=24\] and \[15x+20y=8(k+13)\]have infinite solutions?

    A)  1/2                              

    B)  6             

    C)  1/3                              

    D)  2

    Correct Answer: D

    Solution :

    (d): \[\frac{{{a}_{1}}}{{{a}_{2}}}=\frac{{{b}_{1}}}{{{b}_{2}}}=\frac{{{c}_{1}}}{{{c}_{2}}}\Rightarrow \frac{3(k-1)}{15}=\frac{4}{20}=\frac{-24}{-8(k+13)}\Rightarrow k=2\]


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