Question

решите уравнение 2(x-3)/⅓=4

Answer 1

$frac{2x-3}{ frac{1}{3} } =4 \ \ 2x-3= 4* frac{1}{3} \ \ 2x = 1 frac{1}{3} +3 \ \ 2x = 4 frac{1}{3} \ \ x= 4 frac{1}{3} :2 = frac{13}{3} * frac{1}{2}= frac{13}{6} \ \ x= 2 frac{1}{6}$

проверим:
$frac{2*2 frac{1}{6 } -3}{ frac{1}{3} } = 4 \ \ frac{ frac{2*13}{1*6}-3 }{ frac{1}{3} } =4 \ \ (4 frac{1}{3} -3 ) : frac{1}{3} =4 \ \ 1frac{1}{3} : frac{1}{3} =4 \ \ frac{4}{3} * frac{3}{1} =4 \ \ 4=4$