Ответ:
Пошаговое объяснение:
1. а) x - любое, b) y ≠ 3
2. ![\frac8{15}\left(2\frac14a-7\frac12b\right)-\frac7{30}\left(4\frac27a-8\frac47b\right)=\frac8{15}\left(\frac94a-\frac{15}2b\right)-\frac7{30}\left(\frac{30}7a-\frac{60}7b\right)=\\=\frac8{15}\cdot\frac94a-\frac8{15}\cdot\frac{15}2b-\frac7{30}\cdot\frac{30}7a+\frac7{30}\cdot\frac{60}7b=\frac65a-4b-a+2b=\frac15a-2b\\ \frac8{15}\left(2\frac14a-7\frac12b\right)-\frac7{30}\left(4\frac27a-8\frac47b\right)=\frac8{15}\left(\frac94a-\frac{15}2b\right)-\frac7{30}\left(\frac{30}7a-\frac{60}7b\right)=\\=\frac8{15}\cdot\frac94a-\frac8{15}\cdot\frac{15}2b-\frac7{30}\cdot\frac{30}7a+\frac7{30}\cdot\frac{60}7b=\frac65a-4b-a+2b=\frac15a-2b\\](https://tex.z-dn.net/?f=%5Cfrac8%7B15%7D%5Cleft%282%5Cfrac14a-7%5Cfrac12b%5Cright%29-%5Cfrac7%7B30%7D%5Cleft%284%5Cfrac27a-8%5Cfrac47b%5Cright%29%3D%5Cfrac8%7B15%7D%5Cleft%28%5Cfrac94a-%5Cfrac%7B15%7D2b%5Cright%29-%5Cfrac7%7B30%7D%5Cleft%28%5Cfrac%7B30%7D7a-%5Cfrac%7B60%7D7b%5Cright%29%3D%5C%5C%3D%5Cfrac8%7B15%7D%5Ccdot%5Cfrac94a-%5Cfrac8%7B15%7D%5Ccdot%5Cfrac%7B15%7D2b-%5Cfrac7%7B30%7D%5Ccdot%5Cfrac%7B30%7D7a%2B%5Cfrac7%7B30%7D%5Ccdot%5Cfrac%7B60%7D7b%3D%5Cfrac65a-4b-a%2B2b%3D%5Cfrac15a-2b%5C%5C)
3. (3x-7)·0,6-0,8·(4x-5)-(-1,7-1,4x) = 1,8x-4,2-3,2x+4+1,7+1,4x = 1,5
4. а) (v+x) км/ч - скорость теплохода по течению, (v-x) км/ч - скорость теплохода против течения.
b) 3·(v+x) км
c) 3,5·(v-x) км
d) 3·(v+x)+3,5·(v-x) = 3v+3x+3,5v-3,5x = 6,5v-0,5x км
e) 6,5·30-0,5·6 = 195-3 = 192 км.