Question

3x - 6 ÷ 9 * ( x-2 ) =​

Answer 1

Ответ:

$\frac{1}{3}$

Объяснение:

$\frac{3x-6}{9(x-2)} =\frac{3(x-2)}{9(x-2)} =\frac{1}{3}$

Answer 2

To solve the equation, let's follow the order of operations (PEMDAS/BODMAS: Parentheses/Brackets, Exponents/Orders, Multiplication and Division, Addition and Subtraction):

1. Simplify within the parentheses: x - 2.
2. Perform the multiplication and division within the parentheses.
3. Perform the multiplication outside the parentheses.
4. Perform the subtraction.

Given equation: 3x - 6 ÷ 9 * (x - 2)

Step 1: Simplify within the parentheses x - 2

Step 2: Perform the multiplication and division within the parentheses -6 ÷ 9 = -2/3

Step 3: Perform the multiplication outside the parentheses -2/3 * (x - 2) = -2/3x + 4/3

Step 4: Perform the subtraction 3x - (-2/3x + 4/3) = 3x + 2/3x - 4/3

Combine the x terms: 3x + 2/3x = (9x + 2x) / 3 = 11x / 3

So the equation becomes: 11x / 3 - 4/3 = 0

Now, let's solve for x: 11x / 3 - 4/3 = 0 11x - 4 = 0 11x = 4 x = 4 / 11

Therefore, the solution to the equation is x = 4/11.