1. Решите уравнение: a) 17x-34 = -170; б) 7x + 5 = 9x – 11; в) 5(x-6) = 15(x-8); г) -y - 1 = - 2/3 y - 1/6

Решение:

1. а) 17x - 34 = -170
   17x = -170 + 34
   17x = -136
   x = -136 / 17
   x = -8
2. б) 7x + 5 = 9x – 11
   7x - 9x = -11 - 5
   -2x = -16
   x = -16 / -2
   x = 8
3. в) 5(x - 6) = 15(x - 8)
   5x - 30 = 15x - 120
   5x - 15x = -120 + 30
   -10x = -90
   x = -90 / -10
   x = 9
4. г) -y - 1 = - \(\frac{2}{3}\) y - \(\frac{1}{6}\)
   -y + \(\frac{2}{3}\) y = 1 - \(\frac{1}{6}\)
   -\(\frac{1}{3}\) y = \(\frac{5}{6}\)
   y = \(\frac{5}{6}\) : \(-\frac{1}{3}\)
   y = \(\frac{5}{6}\) \(\times\) (-3)
   y = -\(\frac{15}{6}\)
   y = -\(\frac{5}{2}\)

Ответ: а) x = -8; б) x = 8; в) x = 9; г) y = -\(\frac{5}{2}\).