Реши уравнение: 5/6*b-5/9*b+1=1/2*b+1/3.

Ответ:

\[\frac{5}{6}b - \frac{5}{9}b + 1 = \frac{1}{2}b + \frac{1}{3}\]

\[\frac{5}{6}b - \frac{5}{9}b - \frac{1}{2}b = \frac{1}{3} - 1^{\backslash 3}\]

\[b\left( \frac{5^{\backslash 3}}{6} - \frac{5^{\backslash 2}}{9} - \frac{1^{\backslash 9}}{2} \right) = \frac{1 - 3}{3}\]

\[b\left( \frac{15 - 10 - 9}{18} \right) = - \frac{2}{3}\]

\[- \frac{4}{18}b = - \frac{2}{3}\]

\[b = \frac{2}{3} \cdot \frac{18}{4}\]

\[b = \frac{2 \cdot 3 \cdot 2 \cdot 3}{3 \cdot 2 \cdot 2}\]

\[b = 3.\ \ \]