2. Questions Bank
  3. 8th Class
  4. Mathematics
  5. Linear Equations in One Variable

8th Class Mathematics Linear Equations in One Variable Question Bank Linear Equations in One Variable

  • question_answer
    Four students Preeti, Qadir, Ravi and Sonam solved the equation \[\frac{p-3}{p+4}=\frac{p+1}{p-2}\].Their answers are \[-\frac{1}{5},\frac{1}{5},\frac{2}{5}\] and \[-\frac{2}{5}\]respectively.  Whose answer is correct?

    A)  Ravi                                      

    B)                         Qadir                   

    C)                         Sonam                                

    D)                         Preeti

    Correct Answer: B

    Solution :

    Given equation is \[\frac{p-3}{p+4}=\frac{p+1}{p-2}.\] On cross multiplication, we get \[(p-3)\,\,(p-2)=(p+1)\,(p+4)\] \[\Rightarrow \]   \[{{p}^{2}}-5p+6={{p}^{2}}+5p+4\] \[\Rightarrow \]   \[\cancel{{{p}^{2}}}-5p+6-\cancel{{{p}^{2}}}-5p-4=0\] \[\Rightarrow \]   \[-10p+2=0\] \[\Rightarrow \]    \[p=\frac{-2}{-10}=\frac{1}{5}\]. So, Qadir's answer was correct.


You need to login to perform this action.
You will be redirected in 3 sec spinner