Question

0,18(2/9x-5/6)-2,8(2/7x+3/4)=-9,85​

Answer 1

Ответ:

х= 10

Пошаговое объяснение:

0,18= 9/50 (перетворюємо у звичайний дріб)

2,8= 14/5

-9,85= -197/20

9/50×(2/9х-5/6)-14/5×(2/7х+3/4)= -197/20

1/25х-3/20-14/5×(2/7х+3/4)= -197/20

1/25х-3/20-4/5х-21/10= -197/20 (розкрили дужки)

-19/25х-9/4= -197/20 (×100)

-76х-225= -985

-76х= -985+225

-76х= -760

х= -760÷(-76)

х= 10

Answer 2

To solve the equation 0.18(2/9x - 5/6) - 2.8(2/7x + 3/4) = -9.85, we can follow these steps:

Step 1: Distribute the coefficients to the terms within the parentheses: 0.18 * (2/9x) - 0.18 * (5/6) - 2.8 * (2/7x) - 2.8 * (3/4) = -9.85

Step 2: Simplify each term: (0.36/9)x - (0.9/6) - (5.6/7)x - (8.4/4) = -9.85

Step 3: Simplify further: (0.04)x - 0.15 - (0.8)x - 2.1 = -9.85

Step 4: Combine like terms: 0.04x - 0.8x - 0.15 - 2.1 = -9.85

Step 5: Combine the constants: -0.76x - 2.25 = -9.85

Step 6: Move the constant term to the other side by adding 2.25 to both sides: -0.76x = -9.85 + 2.25

Step 7: Simplify the right side: -0.76x = -7.6

Step 8: Solve for x by dividing both sides by -0.76: x = (-7.6) / (-0.76)

Step 9: Simplify the right side: x = 10

Therefore, the solution to the equation is x = 10.