Решите уравнение и выполните проверку: a) (x + 15) - 8 = 17; б) (24 + x) - 21 = 10; в) (45 - y) + 18 = 58; г) (y - 35) + 12 = 32; д) 56 - (x + 12) = 24; е) 55 - (x - 15) = 30.
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Ответы на вопрос:
A) (x + 15) - 8 = 17 => x + 7 = 17 => x = 17 - 7 = 10. проверка: (10 + 15) - 8 = 25 - 8 = 17. б) (24 + x) - 21 = 10 => x + 3 = 10 => x = 10 - 3 = 7. проверка: (24 + 7) - 21 = 31 - 21 = 10; в) (45 - у) + 18 = 58 => 63 - у = 58 => у = 63 - 58 = 5. проверка: (45 - 5) + 18 = 40 + 18 = 58. г) (у - 35) + 12 = 32 => у - 23 = 32 => у = 23 + 32 => у = 55. проверка: (55 - 35) + 12 = 20 + 12 = 32. д) 56 - (х + 12) = 24 => 44 - x = 24 => х = 44 - 24 = 20. проверка: 56 - (20 + 12) = 56 - 32 = 24. е) 55 - (х - 15) = 30 => х - 15 = 55 - 30 => х = 25 + 15 = 40. проверка: 55 - (40 - 15) - 55 - 25 = 30.
А) (x + 15) - 8 = 17; x + 15 = 17 + 8. x + 15 = 25. x = 25 - 15. x = 10. (10 + 15) - 8 = 17. 25 - 8 = 17. 17 = 17. б) (24 + x) - 21 = 10; 24 + x = 10 + 21. 24 + x = 31. x = 31 - 24. x = 7. (24 + 7) - 21 = 10. 31 - 21 = 10. 10 = 10. в) (45 - y) + 18 = 58; 45 - y = 58 - 18. 45 - y = 40. y = 45 - 40. y = 5. (45 - 5) + 18 = 58. 40 + 18 = 58. 58 = 58. г) (y - 35) + 12 = 32; y - 35 = 32 - 12. y - 35 = 20. y = 35 + 20. y = 55. (55 - 35) + 12 = 32. 20 + 12 = 32. 32 = 32. д) 56 - (x + 12) = 24; x + 12 = 56 - 24. x + 12 = 32. x = 32 - 12. x = 20. 56 - (20 + 12) = 24. 56 - 32 = 24. 24 = 24. е) 55 - (x - 15) = 30. x - 15 = 55 - 30. x - 15 = 25. x = 25 + 15. x = 40. 55 - (40 - 15) = 30. 55 - 25 = 30. 30 = 30.
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