Question

помогите решить уравнение с дробями :
1) -5 1/6:x=24 4/5
2) 3 5/7:x= -4/5

Answer 1

$\displaystyle 1)-5\frac{1}{6}:x=24\frac{4}{5},x\neq 0\\ \\-\frac{31}{6}*\frac{1}{x}=\frac{124}{5}\\ \\-\frac{31}{6x}=\frac{124}{5}\\ \\-155=744x\\ 744x=-155\\ \\x=-\frac{5}{24}\\ \\2)3\frac{5}{7}:x=-\frac{4}{5},x\neq 0\\ \\\frac{26}{7}*\frac{1}{x}=-\frac{4}{5}\\ \\\frac{26}{7x}=-\frac{4}{5}\\ \\130=-28x\\ -28x=130\\ \\x=-\frac{65}{14}=-4\frac{9}{14}$