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7th Class Mathematics Simple Equations Question Bank Simple Equation

  • question_answer
    Solve for \[x:\frac{6x-2}{9}+\frac{3x+5}{18}=\frac{1}{3}.\]

    A)  \[\frac{1}{3}\]                                   

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

    C)         \[\frac{3}{5}\]                                   

    D)         \[\frac{8}{3}\]                                   

    Correct Answer: A

    Solution :

    We have, \[\frac{6x-2}{9}+\frac{3x+5}{18}=\frac{1}{3}\]             \[\Rightarrow \] \[\frac{2(6x-2)+(3x+5)}{18}=\frac{1}{3}\] \[\Rightarrow \] \[\frac{12x-4+3x+5}{18}=\frac{1}{3}\Rightarrow \frac{15x+1}{18}=\frac{1}{3}\] \[\Rightarrow \] \[45x+3=18\Rightarrow 45x=15\] \[\Rightarrow \] \[x=\frac{15}{45}=\frac{1}{3}\]


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