Вопрос:

Solve the following equations: x: (18 - 9) = 10 (13 + 19) x c = 64 (27 + 72) : x = 9 x - (28 : 4) = 36 (0 x 83) + a = 83 (16 x 6) - c = 29 x + (72 : 3) = 62 x : (84 : 4) = 3 a x (6 x 8) = 96 (28 x 3) : x = 84 (100 : 25) x c = 80 x + (200 : 2) = 130 c - (60 x 3) = 20 (90 x 4) : c = 60 (50 x 2) x a = 200 y x (360 - 60) = 900 c - (60 x 3) = 478 (360 : 6) + x = 260 (28 x 10) - y = 80 a - (2 x 43) = 210 x : (560 : 70) = 80 (250 x 2) : c = 50 (586 - 580) x b = 420 (53 - 18) x b = 28 + 42 c x (12 + 9) = 2 x 42 x : (82 - 68) = 50 : 10 (74 - 51) : x = 86 : 86

Ответ:

Решение:

Первый столбец:

  1. \( x = 10 \cdot (18-9) = 10 \cdot 9 = 90 \)
  2. \( (13+19) \cdot c = 64 \implies 32 \cdot c = 64 \implies c = \frac{64}{32} = 2 \)
  3. \( (27+72) : x = 9 \implies 99 : x = 9 \implies x = \frac{99}{9} = 11 \)
  4. \( x - (28:4) = 36 \implies x - 7 = 36 \implies x = 36 + 7 = 43 \)
  5. \( (0 \cdot 83) + a = 83 \implies 0 + a = 83 \implies a = 83 \)
  6. \( (16 \cdot 6) - c = 29 \implies 96 - c = 29 \implies c = 96 - 29 = 67 \)
  7. \( x + (72:3) = 62 \implies x + 24 = 62 \implies x = 62 - 24 = 38 \)
  8. \( x : (84:4) = 3 \implies x : 21 = 3 \implies x = 3 \cdot 21 = 63 \)
  9. \( a \cdot (6 \cdot 8) = 96 \implies a \cdot 48 = 96 \implies a = \frac{96}{48} = 2 \)
  10. \( (28 \cdot 3) : x = 84 \implies 84 : x = 84 \implies x = \frac{84}{84} = 1 \)
  11. \( (100:25) \cdot c = 80 \implies 4 \cdot c = 80 \implies c = \frac{80}{4} = 20 \)
  12. \( x + (200:2) = 130 \implies x + 100 = 130 \implies x = 130 - 100 = 30 \)
  13. \( c - (60 \cdot 3) = 20 \implies c - 180 = 20 \implies c = 180 + 20 = 200 \)
  14. \( (90 \cdot 4) : c = 60 \implies 360 : c = 60 \implies c = \frac{360}{60} = 6 \)
  15. \( (50 \cdot 2) \cdot a = 200 \implies 100 \cdot a = 200 \implies a = \frac{200}{100} = 2 \)
  16. \( y \cdot (360-60) = 900 \implies y \cdot 300 = 900 \implies y = \frac{900}{300} = 3 \)
  17. \( c - (60 \cdot 3) = 478 \implies c - 180 = 478 \implies c = 478 + 180 = 658 \)
  18. \( (360:6) + x = 260 \implies 60 + x = 260 \implies x = 260 - 60 = 200 \)
  19. \( (28 \cdot 10) - y = 80 \implies 280 - y = 80 \implies y = 280 - 80 = 200 \)
  20. \( a - (2 \cdot 43) = 210 \implies a - 86 = 210 \implies a = 210 + 86 = 296 \)
  21. \( x : (560:70) = 80 \implies x : 8 = 80 \implies x = 80 \cdot 8 = 640 \)
  22. \( (250 \cdot 2) : c = 50 \implies 500 : c = 50 \implies c = \frac{500}{50} = 10 \)
  23. \( (586-580) \cdot b = 420 \implies 6 \cdot b = 420 \implies b = \frac{420}{6} = 70 \)
  24. \( (53-18) \cdot b = 28+42 \implies 35 \cdot b = 70 \implies b = \frac{70}{35} = 2 \)
  25. \( c \cdot (12+9) = 2 \cdot 42 \implies c \cdot 21 = 84 \implies c = \frac{84}{21} = 4 \)
  26. \( x : (82-68) = 50:10 \implies x : 14 = 5 \implies x = 5 \cdot 14 = 70 \)
  27. \( (74-51) : x = 86:86 \implies 23 : x = 1 \implies x = 23 \)

Ответ: x=90, c=2, x=11, x=43, a=83, c=67, x=38, x=63, a=2, x=1, c=20, x=30, c=200, c=6, a=2, y=3, c=658, x=200, y=200, a=296, x=640, c=10, b=70, b=2, c=4, x=70, x=23.

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