1459. Решите уравнение: a) 10 - 2,4x = 3,16; б) (y + 26,1) · 2,3 = 70,84; в) (z - 1,2) : 0,6 = 21,1; г) 3,5m + m = 9,9; д) 4,2р - р = 5,12; e) 8,2t - 4,4t = 38,38; ж) (10,49 - s) : 4,02 = 0,805; 3) 9k - 8,67k = 0,6699.

Решение:

• a) \( 10 - 2.4x = 3.16 \\ -2.4x = 3.16 - 10 \\ -2.4x = -6.84 \\ x = \frac{-6.84}{-2.4} \\ x = 2.85 \)
• б) \( (y + 26.1) \cdot 2.3 = 70.84 \\ y + 26.1 = \frac{70.84}{2.3} \\ y + 26.1 = 30.8 \\ y = 30.8 - 26.1 \\ y = 4.7 \)
• в) \( (z - 1.2) \div 0.6 = 21.1 \\ z - 1.2 = 21.1 \cdot 0.6 \\ z - 1.2 = 12.66 \\ z = 12.66 + 1.2 \\ z = 13.86 \)
• г) \( 3.5m + m = 9.9 \\ 4.5m = 9.9 \\ m = \frac{9.9}{4.5} \\ m = 2.2 \)
• д) \( 4.2p - p = 5.12 \\ 3.2p = 5.12 \\ p = \frac{5.12}{3.2} \\ p = 1.6 \)
• e) \( 8.2t - 4.4t = 38.38 \\ 3.8t = 38.38 \\ t = \frac{38.38}{3.8} \\ t = 10.1 \)
• ж) \( (10.49 - s) \div 4.02 = 0.805 \\ 10.49 - s = 0.805 \cdot 4.02 \\ 10.49 - s = 3.2361 \\ s = 10.49 - 3.2361 \\ s = 7.2539 \)
• 3) \( 9k - 8.67k = 0.6699 \\ 0.33k = 0.6699 \\ k = \frac{0.6699}{0.33} \\ k = 2.03 \)

Ответ: a) x = 2.85, б) y = 4.7, в) z = 13.86, г) m = 2.2, д) p = 1.6, e) t = 10.1, ж) s = 7.2539, 3) k = 2.03