Question

If 2x +1/3x=-6 then find the value of 3x +1/2x​

Answer 1

To find : the value of  $\frac{3x + 1}{2x}$

Given : $\frac{2x + 1}{3x} = -6$

Solution :

• According to question wee are given that $\frac{2x + 1}{3x} = -6$ and we have to find the value of $\frac{3x + 1}{2x}$ .
• Firstly we find the value of $x$ by cross multiplying the given expression $\frac{2x + 1}{3x} = -6$  
• Therefore , we get ,$2x + 1= -18x$

                                                 $1 = -20x \\x = \frac{-1}{20}$

• Substituting the value of $x$ in $\frac{3x + 1}{2x}$  we get,

                                    $\frac{\frac{-3}{20} + 1 }{\frac{-2}{20} } = \frac{17}{2}$

Hence , the value of  $\frac{3x + 1}{2x}$ is $\frac{17}{2}$.