Question

Решите уравнение
1 1/3-(5/6-z)=2 5/6
В ответе укажите z⋅3

Answer 1

$1\dfrac{1}{3} -\Big(\dfrac{5}{6}-z\Big)=2\dfrac{5}{6} \\\\\\1\dfrac{1}{3} -\dfrac{5}{6}+z=2\dfrac{5}{6} \\\\\\z=2\dfrac{5}{6} -1\dfrac{1}{3} +\dfrac{5}{6}\\\\\\z=2-1+\dfrac{5}{6} -\dfrac{2}{6} +\dfrac{5}{6} =1+\dfrac{8}{6} =1+1\dfrac{1}{3} =2\dfrac{1}{3} \\\\\\z\cdot 3=2\dfrac{1}{3} \cdot 3=\dfrac{7}{3} \cdot 3=\boxed7$