Question

4x+1/3x-1 = 1/5
solve the following equation and also verify. ​

Answer 1

Step-by-step explanation:

hope it's helpful for you

Answer 2

Hey friend,

Here is the solution :-

$\frac{4x + 1}{3x - 1} = \frac{1}{5} \\ \\now \: by \: cross \: multiplication \\ \\ 5(4x + 1) = 1(3x - 1) \\ \\ 20x + 5 = 3x - 1 \\ \\ 20x - 3x = - 1 - 5 \\ \\ 17x = - 6 \\ \\ x = - \frac{6}{7}$

$now \: to \: verify \: put \: x = - \frac{6}{17} \: in \: the \: lhs$

$\frac{4( - \frac{6}{17}) + 1 }{3( - \frac{6}{17}) - 1 } = \frac{1}{5} \\ \\ \frac{ - \frac{ 24}{17} + 1}{ - \frac{18}{17} - 1 } = \frac{1}{5} \\ \\ \frac{ \frac{ - 24 + 17}{17} }{ \frac{ - 18 - 17}{17} } = \frac{1}{5} \\ \\ \frac{ \frac{ \frac{ - 7}{17} }{ - 35} }{17} = \frac{1}{5} \\ \\ \frac{ - 7}{ - 35} = \frac{1}{5} \\ \\ \frac{7}{35} = \frac{1}{5} \\ \\ \frac{1}{5} = \frac{1}{5} \: \: (verified)$

I hope this will help you....