Question

(1/3х-4)÷3=0.5 решить уравнение

Answer 1

(1/3x-4):3=0,5
1/3x-4=0,5*3
1/3x=1,5+4
1/3x=5,5:1/3
x=16,5

Answer 2

To solve the equation (1/3x - 4) ÷ 3 = 0.5, we'll follow these steps:

Step 1: Simplify the equation. Step 2: Isolate the variable. Step 3: Solve for the variable.

Let's begin:

Step 1: Simplify the equation. To simplify the equation, we'll first distribute the division operator to the expression (1/3x - 4).

(1/3x - 4) ÷ 3 = 0.5

Rewriting the division as multiplication by the reciprocal:

(1/3x - 4) * (1/3) = 0.5

Now, we can simplify further:

1/9x - 4/3 = 0.5

Step 2: Isolate the variable. To isolate the variable, we'll move the constant term (-4/3) to the right side of the equation.

1/9x = 0.5 + 4/3

Finding a common denominator for 0.5 and 4/3:

1/9x = 3/6 + 8/6

Combining the fractions:

1/9x = 11/6

Step 3: Solve for the variable. To solve for x, we'll multiply both sides of the equation by 9 to eliminate the fraction.

(1/9x) * 9 = (11/6) * 9

Simplifying:

x = (11/6) * 9

x = 99/6

Simplifying further:

x = 16.5

Therefore, the solution to the equation (1/3x - 4) ÷ 3 = 0.5 is x = 16.5.