Question

solve the equation...Ans.-- 56​

Answer 1

Your question :-

$\pink{\sf{ \frac{2x - 13}{9} - \frac{x}{8} = \frac{x}{7}+ \frac{x - 1}{11} - 9}}$

Solution :-

$\sf{ \frac {2x -13 }{9} - \frac {x}{8} = \frac {x}{7} + \frac {x - 1}{11} - 9}$

$\implies\sf{\frac {8 (2x - 13) - 9x}{72} =\frac {11x + 7 (x - 1) - 693}{77}}$

$\implies\sf {\frac{16x - 104 - 9x}{72} = \frac{11x + 7x - 7 - 693}{77}}$

$\implies \sf {\frac {7x - 104}{72} = \frac {18x - 700}{77} }$

=> 77 (7x - 104) = 72 (18x - 700)

=> 539x - 8008 = 1296x - 50400

=> 1296 x - 539x = 50400 - 8008

=> 757x = 42392

$\implies \orange{\sf { x = \frac {42392}{757} = 56 }}$