Question

Найдите неизвестное x если: 1) х увеличили на 13 единиц, разделили результат на 4 и получи- ли 9; 2) 64 разделили на разность чиселхи 18 и получили 16; 3) Сумму чисел хи 25 разделил на 7, вычли из частного 8 и по- лучили 3; 4) Разность числа 105 их разделили на 4, прибавили к частному 13 и получили 35. с меня подписка

Answer 1

Ответ:

1) 23

2) 22

3) 52

4) 17

Пошаговое объяснение:

см. фото

Answer 2

Ответ:

1) (x+13)/4 = 9

x + 13 = 9*4

x + 13 = 36

x = 36 - 13

x = 23

2) 64/(x-18) = 16

x - 18 = 64/16

x - 18 = 4

x = 4 + 18

x = 22

3) (x+25)/7 - 8 = 3

(x+25) - 8*7 = 3*7

x + 25 - 56 = 21

x - 31 = 21

x = 21 + 31

x = 52

4) (105-x)/4 + 13 = 35

105-x + 13*4 = 35*4

105 - x + 52 = 140

157 - x = 140

x = 157 - 140

x = 17

Answer 3

Solution:

To find the unknown value of x in each equation, we will follow the given steps for each equation:

1) x + 13 / 4 = 9: - Multiply both sides of the equation by 4 to eliminate the fraction: 4 * (x + 13) / 4 = 9 * 4. - Simplify: x + 13 = 36. - Subtract 13 from both sides of the equation: x = 36 - 13. - Solve: x = 23.

2) 64 / (x - 18) = 16: - Multiply both sides of the equation by (x - 18) to eliminate the fraction: 64 = 16 * (x - 18). - Simplify: 64 = 16x - 288. - Add 288 to both sides of the equation: 64 + 288 = 16x. - Simplify: 352 = 16x. - Divide both sides of the equation by 16: x = 352 / 16. - Solve: x = 22.

3) (x + 25) / 7 - 8 = 3: - Add 8 to both sides of the equation: (x + 25) / 7 = 3 + 8. - Simplify: (x + 25) / 7 = 11. - Multiply both sides of the equation by 7 to eliminate the fraction: 7 * (x + 25) / 7 = 11 * 7. - Simplify: x + 25 = 77. - Subtract 25 from both sides of the equation: x = 77 - 25. - Solve: x = 52.

4) (105 - x) / 4 + 13 = 35: - Subtract 13 from both sides of the equation: (105 - x) / 4 = 35 - 13. - Simplify: (105 - x) / 4 = 22. - Multiply both sides of the equation by 4 to eliminate the fraction: 4 * (105 - x) / 4 = 22 * 4. - Simplify: 105 - x = 88. - Subtract 105 from both sides of the equation: -x = 88 - 105. - Simplify: -x = -17. - Multiply both sides of the equation by -1 to solve for x: x = -17 * -1. - Solve: x = 17.

Therefore, the unknown values of x in each equation are: 1) x = 23 2) x = 22 3) x = 52 4) x = 17.