\[\boxed{\mathbf{545\ (545)}.\ Еуроки\ - \ ДЗ\ без\ мороки}\]
\(1)\ 14a \cdot 6b = 84ab\)
\[при\ a = 2;\ \ b = 3:\]
\[84 \cdot 2 \cdot 3 = 84 \cdot 6 = 504.\]
\(2)\ 25m \cdot 3n = 75mn\)
\[при\ m = 8;\ \ n = 1:\]
\[75 \cdot 8 \cdot 1 = 600.\]
\[3)\ 5x + 8x - 3x = 5x + 5x =\]
\[= 10x\]
\[при\ x = 17:\]
\[10x = 10 \cdot 17 = 170.\]
\[4)\ 16y - y + 5y = 15y + 5y =\]
\[= 20y\]
\[при\ y = 23:\]
\[20y = 20 \cdot 23 = 460.\]
\[\boxed{\ \mathbf{545\ (490)}.\ Еуроки\ - \ ДЗ\ без\ мороки}\]
\[1)\ 8 \cdot (x - 14) = 56\]
\[x - 14 = 56\ :8\]
\[x - 14 = 7\]
\[x = 7 + 14\]
\[x = 21\]
\[Ответ:21.\]
\[2)\ (46 - x) \cdot 19 = 418\]
\[46 - x = 418\ :19\]
\[46 - x = 22\]
\[x = 46 - 22\]
\[x = 24\]
\[Ответ:24.\]
\[3)\ 9 \cdot (143 - 13x) = 234\]
\[143 - 13x = 234\ :9\]
\[143 - 13x = 26\]
\[13x = 143 - 26\]
\[13x = 117\]
\[x = 117\ :13\]
\[x = 9\]
\[Ответ:9.\]
\[4)\ 17 \cdot (5x - 16) = 238\]
\[5x - 16 = 238\ :17\]
\[5x - 16 = 14\]
\[5x = 14 + 16\]
\[5x = 30\]
\[x = 30\ :5\]
\[x = 6\]
\[Ответ:6.\]