Solve the following equations: 1) (x - 84) : 17 = 306 2) 6(x - 39) : 13 = 1014 3) 2646 : (x + 55) = 42

Решение:

1. \( (x - 84) : 17 = 306 \)
   \( x - 84 = 306 \cdot 17 \)
   \( x - 84 = 5202 \)
   \( x = 5202 + 84 \)
   \( x = 5286 \)
2. \( 6(x - 39) : 13 = 1014 \)
   \( 6(x - 39) = 1014 \cdot 13 \)
   \( 6(x - 39) = 13182 \)
   \( x - 39 = \frac{13182}{6} \)
   \( x - 39 = 2197 \)
   \( x = 2197 + 39 \)
   \( x = 2236 \)
3. \( 2646 : (x + 55) = 42 \)
   \( x + 55 = \frac{2646}{42} \)
   \( x + 55 = 63 \)
   \( x = 63 - 55 \)
   \( x = 8 \)

Ответ: 1) x = 5286; 2) x = 2236; 3) x = 8.