Question

⅓(3x-1)-½(x+4)=⅙(2+3x)​

Answer 1

Ответ:вот

Объяснение:

Answer 2

To solve the equation ⅓(3x - 1) - ½(x + 4) = ⅙(2 + 3x), you can follow these steps:

Step 1: Distribute the fractions on both sides of the equation to get rid of them. Multiply every term by the least common multiple of the denominators (which is 6) to clear the fractions:

6 * [⅓(3x - 1)] - 6 * [½(x + 4)] = 6 * [⅙(2 + 3x)]

Now, simplify each term:

2(3x - 1) - 3(x + 4) = 1(2 + 3x)

Step 2: Distribute the numbers outside the parentheses:

6x - 2 - 3x - 12 = 2 + 3x

Step 3: Combine like terms on both sides of the equation:

(6x - 3x) - 2 - 12 = 2 + 3x

3x - 14 = 2 + 3x

Step 4: Notice that we have 3x on both sides of the equation. Subtract 3x from both sides to isolate the constant term:

3x - 3x - 14 = 2 - 3x + 3x

0x - 14 = 2

Step 5: Simplify the left side of the equation, which results in:

-14 = 2

Step 6: The equation -14 = 2 is not possible; it's inconsistent. There are no values of x that will satisfy this equation.

So, there is no solution to the original equation:

⅓(3x - 1) - ½(x + 4) = ⅙(2 + 3x)

The equation has no solution.