Question

Помогите решить уравнение по математике! ​

Answer 1

Ответ:

Пошаговое объяснение:

$5\frac{1}{3} x-1=1\frac{2}{9} \\\frac{16}{3} x=\frac{11}{9} +\frac{9}{9} \\\frac{16}{3} x=\frac{20}{9}$

$x=\frac{20}{9} :\frac{16}{3} =\frac{20}{9} *\frac{3}{16} =\frac{5}{12}$

Проверка:

$\frac{16}{3} *\frac{5}{12} =\frac{20}{9} -1=\frac{20}{9} -\frac{9}{9} =\frac{11}{9} =1\frac{2}{9}\\ 1\frac{2}{9} =1\frac{2}{9}$

Ответ:$x=\frac{5}{12}$

$4\frac{1}{12} -1\frac{5}{6} x=2\frac{17}{24} \\\frac{49}{12} -\frac{11}{6} x=\frac{65}{24}$

$-\frac{11}{6} x=\frac{65}{24} -\frac{49}{12} =\frac{65}{24}-\frac{98}{24} =-\frac{33}{24} \\x=-\frac{33}{24} :-\frac{11}{6} =-\frac{33}{24} *\frac{6}{11} =\frac{3}{4}$

Проверка:

$\frac{49}{12} -\frac{11}{6} *\frac{3}{4} =\frac{49}{12} -\frac{33}{24} =\frac{98}{24} -\frac{33}{24} =\frac{65}{24} =2\frac{17}{24} \\2\frac{17}{24} =2\frac{17}{24}$

Ответ:$x=\frac{3}{4}$