Question

3×-8=×+6 7 ×-10=2-4× ,1/6×-1/2=3-1/2×

Answer 1

Ответ:

х = 7

   х ≈ 1.09

   х = 2.5

Пошаговое объяснение:

Давайте решим уравнения по очереди:

   3× - 8 = × + 6

Сначала перенесем все переменные с "х" в одну сторону уравнения:

3× - × = 6 + 8

Теперь объединим подобные слагаемые:

2× = 14

Чтобы найти значение "х", разделим обе стороны на 2:

х = 14 / 2

х = 7

Ответ: х = 7

   7× - 10 = 2 - 4×

Сначала перенесем все переменные с "х" в одну сторону уравнения:

7× + 4× = 2 + 10

Теперь объединим подобные слагаемые:

11× = 12

Чтобы найти значение "х", разделим обе стороны на 11:

х = 12 / 11

х ≈ 1.09 (округлено до двух знаков после запятой)

Ответ: х ≈ 1.09

   1/6× - 1/2 = 3 - 1/2×

Сначала перенесем все переменные с "х" в одну сторону уравнения:

1/6× + 1/2× = 3 - 1/2

Теперь объединим подобные слагаемые:

(1/6 + 1/2)× = 3 - 1/2

(3/6 + 3/6)× = 2.5

(6/6)× = 2.5

х = 2.5

Ответ: х = 2.5

Итак, решения уравнений:

   х = 7

   х ≈ 1.09

   х = 2.5

Answer 2

To solve each of these equations, you need to isolate the variable "x." Here are the step-by-step solutions for each equation:

1. 3x - 8 = x + 6

   First, you want to get all the terms with "x" on one side of the equation and the constants on the other side. You can do this by subtracting "x" from both sides:

   3x - x - 8 = x - x + 6

   Now, simplify:

   2x - 8 = 6

   Next, add 8 to both sides to isolate "2x":

   2x - 8 + 8 = 6 + 8

   2x = 14

   Finally, divide both sides by 2 to solve for "x":

   (2x)/2 = 14/2

   x = 7

   So, the solution to the first equation is x = 7.

2. 7x - 10 = 2 - 4x

   Start by adding 4x to both sides to get all the terms with "x" on one side:

   7x + 4x - 10 = 2 - 4x + 4x

   Simplify:

   11x - 10 = 2

   Now, add 10 to both sides:

   11x - 10 + 10 = 2 + 10

   11x = 12

   Finally, divide both sides by 11 to solve for "x":

   (11x)/11 = 12/11

   x = 12/11

   So, the solution to the second equation is x = 12/11.

3. (1/6)x - 1/2 = 3 - (1/2)x

   Start by adding (1/2)x to both sides to get all the terms with "x" on one side:

   (1/6)x + (1/2)x - 1/2 = 3 - (1/2)x + (1/2)x

   Simplify:

   (1/6 + 1/2)x - 1/2 = 3

   Now, find a common denominator for (1/6) and (1/2), which is 6:

   (3/6)x + (-1/2) = 3

   Simplify further:

   (1/2)x - 1/2 = 3

   Add 1/2 to both sides:

   (1/2)x - 1/2 + 1/2 = 3 + 1/2

   (1/2)x = 3 + 1/2

   (1/2)x = 7/2

   Finally, divide both sides by (1/2) to solve for "x":

   [(1/2)x] / (1/2) = (7/2) / (1/2)

   x = 7

   So, the solution to the third equation is x = 7.