5.194 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; е) 24t – 13t – 7 = 15.

Решим каждое уравнение по порядку:

а) $$(z – 39) \cdot 37 = 7955$$

$$z - 39 = \frac{7955}{37}$$

$$z - 39 = 215$$

$$z = 215 + 39$$

$$z = 254$$

Ответ: 254

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б) $$789 \cdot (t – 361) = 11 835$$

$$t - 361 = \frac{11835}{789}$$

$$t - 361 = 15$$

$$t = 15 + 361$$

$$t = 376$$

Ответ: 376

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в) $$(205 \cdot 78 + m) : 9109 = 6$$

$$205 \cdot 78 + m = 6 \cdot 9109$$

$$15990 + m = 54654$$

$$m = 54654 - 15990$$

$$m = 38664$$

Ответ: 38664

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г) $$49 635 : (m – 973) = 1103$$

$$m - 973 = \frac{49635}{1103}$$

$$m - 973 = 45$$

$$m = 45 + 973$$

$$m = 1018$$

Ответ: 1018

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д) $$21z + 7z – 38 = 46$$

$$28z = 46 + 38$$

$$28z = 84$$

$$z = \frac{84}{28}$$

$$z = 3$$

Ответ: 3

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e) $$24t – 13t – 7 = 15$$

$$11t = 15 + 7$$

$$11t = 22$$

$$t = \frac{22}{11}$$

$$t = 2$$

Ответ: 2