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

  • question_answer
    If \[\frac{\mathbf{3}}{\mathbf{x-1}}\mathbf{+}\frac{\mathbf{1}}{\mathbf{x-3}}\mathbf{=}\frac{\mathbf{4}}{\mathbf{x-2}}\]then x =?

    A)  -4                               

    B)  4

    C)  3                                

    D)  -2

    Correct Answer: B

    Solution :

    (b): \[\frac{3}{x-1}+\frac{1}{x-3}=\frac{4}{x-2}\] \[\Rightarrow \frac{3}{x-1}+\frac{1}{x-3}=\frac{3}{x-2}+\frac{1}{x-2}\] \[\Rightarrow \frac{3}{x-1}-\frac{3}{x-2}=\frac{1}{x-2}-\frac{1}{x-3}\] \[\Rightarrow \frac{3x-6-3x+3}{x-1}=\frac{x-3-x+2}{x-2}\] \[\Rightarrow \frac{-3}{x-1}=\frac{-1}{x-3}\] \[\Rightarrow \frac{-3}{x-1}=\frac{1}{x-3}\] \[\Rightarrow 3x-9=x-1\Rightarrow 2x=8\Rightarrow x=4\]


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