Question

7x+9 дробь 2,5 = 5x-2 дробь 6 реши уравнение ​

Answer 1

7 х + 9 / 2,5 = 5 х - 2 / 6

6 * ( 7х + 9 ) = 2,5 * ( 5х - 2 )

42х + 54 = 12,5х - 5

29,5х = - 59

х = - 2

Ответ : -2

Answer 2

To solve the equation, we first need to translate it from Russian to English and then solve for the variable x.

The given equation in English is:

(7x + 9) / 2.5 = (5x - 2) / 6

To solve for x, follow these steps:

Step 1: Eliminate the denominators by multiplying both sides of the equation by the least common multiple (LCM) of the denominators (2.5 and 6), which is 15. So, multiply both sides by 15:

15 * [(7x + 9) / 2.5] = 15 * [(5x - 2) / 6]

Step 2: Simplify each side:

6 * (7x + 9) = 2.5 * (5x - 2)

Step 3: Distribute the numbers:

42x + 54 = 12.5x - 5

Step 4: Get all the x terms on one side and the constant terms on the other side:

42x - 12.5x = -5 - 54

Step 5: Combine like terms:

29.5x = -59

Step 6: Solve for x:

x = -59 / 29.5

Step 7: Simplify:

x = -2

The solution to the equation is x = -2.