Question

solve and verify answer ​

Answer 1

I hope this will be helpful

Answer 2

Solution

$\tt \frac{3x}{5x - 5} = - 1 \\ \\ \tt \: cross \: multiply \\ \\ \tt \: 3x = - 5x + 5 \\ \\ \tt \: 3x + 5x = 5 \\ \\ \tt \: 8x = 5 \\ \\ \tt \: x = \frac{5}{8}$

Verification

$\tt \: putting \: x = \frac{5}{8} in \: lhs \\ \\ \tt \: lhs = \frac{3x}{5x - 5} \\ \\ \tt \: = \frac{3 \times \frac{5}{8}}{5 \times \frac{5}{8} - 5 } \\ \\ \tt \: = \frac{ \frac{15}{8} }{ \frac{25}{8} - 5} \\ \\ \tt \: \frac{15}{8} \div \frac{25 - 40}{8} \\ \\ \tt \: = \frac{15}{8} \div \frac{ - 15}{8} \\ \\ \tt \: = \frac{15}{8} \times \frac{8}{ - 15} = - 1 = rhs \\ \\ \tt \: verified$