Question

0,75 ( 1/6 X - 1/3)= 3 x - 11,5

Answer 1

ответ прикрепил на фотографии

Answer 2

To solve the equation 0.75(1/6x - 1/3) = 3x - 11.5, we can follow these steps:

Step 1: Distribute 0.75 to the terms inside the parentheses: 0.75 * (1/6x) - 0.75 * (1/3) = 3x - 11.5

Step 2: Simplify both sides of the equation: (0.75/6)x - (0.75/3) = 3x - 11.5

Step 3: Simplify the fractions on the left side: (0.125)x - 0.25 = 3x - 11.5

Step 4: Move the variables to one side of the equation and the constants to the other side: (0.125)x - 3x = -11.5 + 0.25

Step 5: Combine like terms: -2.875x = -11.25

Step 6: Divide both sides of the equation by -2.875 to isolate x: x = (-11.25) / (-2.875)

Step 7: Calculate the value of x: x ≈ 3.913

Therefore, the solution to the equation is x ≈ 3.913.