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7th Class Mathematics Simple Equations Question Bank Simple Equation

  • question_answer
    The value of x in \[\frac{3}{4}\left( 7x-1 \right)-\left( 2x-\frac{1-x}{2} \right)=x+\frac{3}{2}\]is ____.

    A)  2                                

    B)         3                    

    C)         1                                

    D)         0

    Correct Answer: C

    Solution :

    We have, \[\frac{3}{4}(7x-1)-\left( 2x-\frac{1-x}{2} \right)=x+\frac{3}{2}\] \[\Rightarrow \] \[\left( \frac{21}{4}x-\frac{3}{4} \right)-\left( \frac{4x-1+x}{2} \right)=x+\frac{3}{2}\] \[\Rightarrow \] \[\frac{21}{4}x-\frac{3}{4}-\frac{5x-1}{2}=x+\frac{3}{2}\] \[\Rightarrow \] \[\frac{21x-10x-4x}{4}=\frac{6+3-2}{4}\Rightarrow x=1\]


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