Question

Найди корень уравнения t+57=3t−8/11.
​

Answer 1

Пошаговое объяснение:

$t + 57 = 3t - \frac{8}{11}$

$t + 57 = ( \frac{33t}{11} - \frac{8}{11} )$

$t + 57 = ( \frac{1}{11} (33t - 8))$

$11(t + 57) = \frac{11(33t - 8)}{11}$

$11(t + 57) = (33t - 8)$

$(11t + 627) = 33t - 8$

$(11t - 33t) + 627 = (33t - 33t) - 8$

$- 22t + 627 = (33t - 33t) - 8$

$- 22t + 627 = - 8$

$(627 - 627) - 22t = - 627 - 8$

$- 22t = - 627 - 8$

$- 22t = - 635$

$\frac{ - 22t}{ - 22} = \frac{ - 635}{ - 22}$

$t = \frac{ - 635}{ - 22}$

$t = \frac{635}{22}$