94 Решите уравнение: a) (z - 39) · 37 = 7955; б) 789 · (t - 361) = 11 835; в) (205 · 78 + m) : 9109 = 6; г) 49 635 : (m - 973) = 1103; д) 21z + 7z – 38 = 46; e) 24t – 13t – 7 = 15.

а) $$(z - 39) \times 37 = 7955$$ $$z - 39 = \frac{7955}{37}$$ $$z - 39 = 215$$ $$z = 215 + 39$$ $$z = 254$$

б) $$789 \times (t - 361) = 11835$$ $$t - 361 = \frac{11835}{789}$$ $$t - 361 = 15$$ $$t = 15 + 361$$ $$t = 376$$

в) $$(205 \times 78 + m) : 9109 = 6$$ $$205 \times 78 + m = 6 \times 9109$$ $$15990 + m = 54654$$ $$m = 54654 - 15990$$ $$m = 38664$$

г) $$49635 : (m - 973) = 1103$$ $$m - 973 = \frac{49635}{1103}$$ $$m - 973 = 45$$ $$m = 45 + 973$$ $$m = 1018$$

д) $$21z + 7z - 38 = 46$$ $$28z - 38 = 46$$ $$28z = 46 + 38$$ $$28z = 84$$ $$z = \frac{84}{28}$$ $$z = 3$$

e) $$24t - 13t - 7 = 15$$ $$11t - 7 = 15$$ $$11t = 15 + 7$$ $$11t = 22$$ $$t = \frac{22}{11}$$ $$t = 2$$

Ответ: а) 254; б) 376; в) 38664; г) 1018; д) 3; е) 2