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8th Class Mental Ability Algebraic Expressions Question Bank Algebra

  • question_answer
    Find the solution of \[\frac{\mathbf{4y+1}}{\mathbf{3}}\mathbf{+}\frac{\mathbf{2y-1}}{\mathbf{2}}\mathbf{-}\frac{\mathbf{3y-7}}{\mathbf{5}}\mathbf{=6}\mathbf{.}\]

    A) 1   

    B)                                \[-2\frac{11}{4}\]

    C) \[-\frac{11}{4}\]                   

    D)        \[2\frac{3}{4}\]

    E) None of these

    Correct Answer: D

    Solution :

    Explanation Option [d] is correct. We have, \[\frac{4y+1}{3}+\frac{2y-1}{2}-\frac{3y-7}{5}=6\Rightarrow \frac{40y+10+30y-15-18y+42}{30}=6\] \[\Rightarrow 52y+37=180\Rightarrow 52y=180-37\Rightarrow y=\frac{143}{52}=\frac{11}{4}\]


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