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7th Class Mathematics Simple Equations Question Bank Linear Equation in one Variable

  • question_answer
    If \[O=\frac{2x+5}{7}\] and \[P=\frac{3x-2}{4}\]. What value of x makes\[O=P\]? (Where O and P denote two equations)

    A)  \[\frac{-17}{3}\]                       

    B)  \[\frac{-34}{13}\]     

    C)  \[\frac{34}{13}\]            

    D)  \[\frac{17}{3}\]

    Correct Answer: C

    Solution :

    (c) \[O=P\Rightarrow \frac{2x+5}{7}=\frac{3x-2}{4}\] \[\Rightarrow \]\[4(2x+5)=7(3x-2)\] \[\Rightarrow \]\[8x+20=21x-14\Rightarrow 20+14=21x-8x\] \[\Rightarrow \]\[13x=34\Rightarrow x=\frac{34}{13}\]     


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