Question

Решите уравнение :

1 и 2

Answer 1

первое уравнение:
$frac{ frac{2}{3} }{ frac{4}{9} x- frac{4}{9} } + frac{1}{20}= frac{4}{5}$
$frac{ frac{2}{3} }{ frac{4}{9} x- frac{4}{9} } = frac{4}{5} - frac{1}{20}$
$frac{ frac{2}{3} }{ frac{4}{9} x- frac{4}{9} } = frac{15}{20}$
$frac{ frac{2}{3} }{ frac{4}{9} x- frac{4}{9} } = frac{3}{4}$
${ frac{4}{9} x- frac{4}{9} } = frac{2}{3} : frac{3}{4}$
${ frac{4}{9} x- frac{4}{9} } = frac{2}{3} * frac{4}{3}$
${ frac{4}{9} x- frac{4}{9} } = frac{8}{9}$
$frac{4}{9} x= frac{8}{9}+ frac{4}{9}$
$frac{4}{9} x= frac{12}{9}$
$x=frac{12}{9}:frac{4}{9}$
$x=frac{12}{9}:frac{9}{4}$
$x=3$

второе:
$frac{ frac{5}{7} }{ frac{6}{7} x+ frac{3}{7} } - frac{1}{2}= frac{1}{6}$
$frac{ frac{5}{7} }{ frac{6}{7} x+ frac{3}{7} }= frac{1}{6}+ frac{1}{2}$
$frac{ frac{5}{7} }{ frac{6}{7} x+ frac{3}{7} }= frac{4}{6}$
$frac{ frac{5}{7} }{ frac{6}{7} x+ frac{3}{7} }= frac{2}{3}$
$frac{6}{7} x+ frac{3}{7}= frac{5}{7} : frac{2}{3}$
$frac{6}{7} x+ frac{3}{7}= frac{5}{7} * frac{3}{2}$
$frac{6}{7} x+ frac{3}{7}= frac{15}{14}$
$frac{6}{7} x=frac{15}{14}-frac{3}{7}$
$frac{6}{7} x=frac{15}{14}-frac{6}{14}$
$frac{6}{7} x=frac{9}{14}$
$x=frac{9}{14}:frac{6}{7}$
$x=frac{9}{14}*frac{7}{6}$
$x= frac{3}{4}$