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

  • question_answer
    The solution of the pair of equations \[x+y=14\] and \[x-y=4\] is:

    A) \[\text{x}=\text{9},\text{y}=\text{5}\]

    B) \[\text{x}=\text{5},\text{y}=\text{9}\]

    C) \[\text{x}=\text{9,y}=\text{9}\]

    D) \[\text{x}=\text{5,y}=\text{5}\]

    Correct Answer: A

    Solution :

    [a] The given pair of equations is
    \[x+y=14\]                      ...(I)
    and       \[x-y=4\]                      ...(2)
    On adding eqs. (1) and (2), we get
                \[2x=18\Rightarrow x=9\]
    Substituting the value of x in eq. (1), we get
    \[y=14-9=5\]
    Hence.  \[x=9,\,\,y=5\]


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