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

Решение:

• а) 17x - 34 = -170
  1. 17x = -170 + 34
  2. 17x = -136
  3. x = -136 / 17
  4. x = -8
• б) 7x + 5 = 9x – 11
  1. 5 + 11 = 9x - 7x
  2. 16 = 2x
  3. x = 16 / 2
  4. x = 8
• в) 5(x - 6) = 15(x - 8)
  1. 5x - 30 = 15x - 120
  2. 120 - 30 = 15x - 5x
  3. 90 = 10x
  4. x = 90 / 10
  5. x = 9
• г) 6(5/6)y - 1 = 2/3 y - 1/6
  1. 5y - 1 = 2/3 y - 1/6
  2. 5y - 2/3 y = 1 - 1/6
  3. (15/3)y - (2/3)y = 5/6
  4. 13/3 y = 5/6
  5. y = (5/6) * (3/13)
  6. y = 15/78
  7. y = 5/26

Ответ: а) -8; б) 8; в) 9; г) 5/26