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  5. Linear Equations in Two Variables

9th Class Mathematics Linear Equations in Two Variables Question Bank Linear Equation in two Variables

  • question_answer
    If 1 is added to the denominator of a fraction, it becomes\[\frac{\mathbf{1}}{\mathbf{2}}\] and if 2 is added to the numerator, the fraction becomes 1. What is the fraction?

    A)  \[\frac{3}{2}\]                         

    B)  \[\frac{3}{5}\]

    C)  \[\frac{1}{4}\]                         

    D)  \[\frac{10}{11}\]

    Correct Answer: B

    Solution :

    (b): Let required fraction be \[\frac{x}{y}\] So, \[\frac{x}{y+1}=\frac{1}{2}\] ___________(1) And \[x+\frac{2}{y}=1\]___________ (2) Solving equation (1) & (2) we get\[x=2\] and\[y=5\]


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