Question

7 1/3: (0,3х + 1 1/6) = 3 2/3 помогите пожалуйста!

Answer 1

ответ:

$\displaystyle \frac{25}{9}=2\frac{7}{9}$

решение:

$\displaystyle 7\frac{1}{3}:(0,3x+1\frac{1}{6})=3\frac{2}{3}\\ \\ODZ:x\neq -\frac{35}{9}\\ \\\frac{22}{3}:(\frac{3}{10}x+\frac{7}{6})=\frac{11}{3}\\ \\\frac{22}3}:\frac{9x+35}{30}=\frac{11}{3}\\ \\\frac{22}{3}*\frac{30}{9x+35}=\frac{11}{3}\\ \\22*\frac{10}{9x+35}=\frac{11}{3}\\ \\\frac{220}{9x+35}=\frac{11}{3}\\ \\660=11(9x=35)\\ 60=9x+35\\ -9x=35-60\\ -9x=-25\\ \\x=\frac{25}{9}=2\frac{7}{9}$