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
    Solve \[\frac{3x+4}{x+1}=\frac{3x+2}{x-1},x\ne 1\]

    A)  1/2                              

    B)  -3/2            

    C)  3/2                  

    D)  1

    Correct Answer: B

    Solution :

    (b): \[\frac{3x+4}{x+1}=\frac{3x+2}{x-1},x\ne 1\] \[x\ne 1\]is written in order to make the question complete, as if x =1 then \[\frac{3x+2}{x-1}=\frac{3x+2}{0}\]=undefined Now solving \[\left( 3x+4 \right)\left( x-1 \right)=\left( 3x+2 \right)\left( x+1 \right)\] \[\Rightarrow \cancel{3{{x}^{2}}}+x-4=\cancel{3{{x}^{2}}}+5x+2\] \[\Rightarrow -6=4x\] \[\Rightarrow x=\frac{-3}{2}\]


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