Question

x+5/6-x+1/9=x+3/4 .find out the value of x

Answer 1

Heya !!



X + 5 / 6 - ( X + 1 ) / 9 = X + 3 / 4




=> 3 ( X + 5 ) - 2 ( X + 1 ) / 18 = ( X + 3 )/ 4




=> 3X + 15 - 2X - 2 / 18 = ( X + 3 / 4 )



=> X + 13 = 18 ( X + 3 )/ 4




=> 4 ( X + 13 ) = 18X + 54


=> 4X + 52 = 18X + 54





=> 18X - 4X = 52 - 54




=> 14X = -2



=> X = - 1/7

Answer 2

$\frac{x + 5}{6} - \frac{x + 1}{9} = \frac{x + 3}{4} \\ \\ => \frac{3(x + 5) - 2(x + 1)}{18} = \frac{x + 3}{4} \\ \\ = > \frac{3x + 15 - 2x - 2}{18} = \frac{x + 3}{4} \\ \\ = > \frac{x + 13}{9} = \frac{x + 3}{2} \\ \\ => 2(x + 13) = 9(x + 3) \\ \\ = > 2x + 26 = 9x + 27 \\ \\ => 26 - 27 = 9x - 2x \\ \\ = > - 1 = 7x \\ \\ = > - \frac{1}{7} = x$