3.204 Решите уравнение:

Решение:

• а) \(10 - 2.6x = 2.59\)
  \(-2.6x = 2.59 - 10\)
  \(-2.6x = -7.41\)
  \(x = -7.41 / -2.6\)
  \(x = 2.85\)
• б) \((y + 16.7) - 2.6 = 80.08\)
  \(y + 16.7 = 80.08 + 2.6\)
  \(y + 16.7 = 82.68\)
  \(y = 82.68 - 16.7\)
  \(y = 65.98\)
• в) \((x - 2.3) : 0.4 = 31.1\)
  \(x - 2.3 = 31.1 \times 0.4\)
  \(x - 2.3 = 12.44\)
  \(x = 12.44 + 2.3\)
  \(x = 14.74\)
• г) \(5.4p - p = 7.04\)
  \(4.4p = 7.04\)
  \(p = 7.04 / 4.4\)
  \(p = 1.6\)
• д) \(12.2t - 4.9t = 73.73\)
  \(7.3t = 73.73\)
  \(t = 73.73 / 7.3\)
  \(t = 10.1\)
• е) \((7.26 - s) : 5.05 = 0.602\)
  \(7.26 - s = 0.602 \times 5.05\)
  \(7.26 - s = 3.0401\)
  \(s = 7.26 - 3.0401\)
  \(s = 4.2199\)
• ж) \(8k - 7.78k = 0.4488\)
  \(0.22k = 0.4488\)
  \(k = 0.4488 / 0.22\)
  \(k = 2.04\)

Ответ: а) 2.85; б) 65.98; в) 14.74; г) 1.6; д) 10.1; е) 4.2199; ж) 2.04