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

  • question_answer
    If \[\frac{\mathbf{2}}{\mathbf{x}}\mathbf{+}\frac{\mathbf{3}}{\mathbf{y}}\mathbf{=}\frac{\mathbf{9}}{\mathbf{xy}}\] and \[\frac{4}{\mathbf{x}}\mathbf{+}\frac{9}{\mathbf{y}}\mathbf{=}\frac{21}{\mathbf{xy}}\], where, \[x\ne 0\]and \[y\ne 0\], then what is the value of \[\mathbf{x}+\mathbf{y}\]?

    A)  2                                

    B)  3

    C)  4 

    D)  8

    Correct Answer: C

    Solution :

    (c): Given, \[\frac{2}{x}+\frac{3}{y}=\frac{9}{xy}\] \[2y+3x=9\] and         \[\frac{4}{x}+\frac{9}{y}=\frac{21}{xy}\] \[\Rightarrow \]\[4y+9x=21\] On solving eq. (i) and (ii), we get \[x=1\]and \[y=3\] \[\therefore \]\[x+y=1+3=4\]                             


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