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

  • question_answer
    How many solutions does the system of equations,\[3x-4y=5\]and\[12x-16y=20\]have?

    A)  More than two solutions

    B)  Exactly two solutions

    C)  Exactly one solution

    D)  No solution

    Correct Answer: A

    Solution :

     Given equations are \[\frac{22}{7}\] and     \[\pi \] Here    \[\text{4}0={{\text{2}}^{\text{3}}}\times \text{5}\] and        \[\text{6}0={{\text{2}}^{\text{2}}}\times \text{3}\times \text{5}\] \[\therefore \]  \[={{2}^{2}}\times 3\times 5\times 2=120\] \[f(p)={{\text{p}}^{\text{3}}}+\text{6}{{\text{p}}^{\text{2}}}+\text{lip}+\text{6}\] \[f(p)\] \[p(x)={{x}^{2}}+3x-2\] \[\Rightarrow \] Hence, the given equations have infinitely many solutions i.e., more than two solutions.


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