Question

Реши уравнение: 1/12x+3=9+1/3x. Ответ: x=

Answer 1

Ответ:

Gy65 Flow Flow Flow 5555

Answer 2

To solve the equation 1/12x + 3 = 9 + 1/3x, we need to isolate the variable x on one side of the equation. Here's how you can solve it step by step:

Step 1: Let's start by getting rid of the fractions in the equation. To do this, we can multiply every term in the equation by the least common multiple (LCM) of the denominators, which in this case is 36.

So, multiply 1/12x by 36: (1/12x) * 36 = 3x

Multiply 3 by 36: 3 * 36 = 108

Multiply 9 by 36: 9 * 36 = 324

Multiply 1/3x by 36: (1/3x) * 36 = 12x

The equation becomes: 3x + 108 = 324 + 12x

Step 2: Now, let's simplify the equation by combining like terms. In this case, we have x terms on both sides of the equation, so we can subtract 3x from both sides to eliminate the x terms on the right side.

3x - 3x + 108 = 12x - 3x + 324

Simplifying the equation gives us: 108 = 9x + 324

Step 3: Next, let's isolate the variable x by moving all the constants to one side of the equation. We can do this by subtracting 324 from both sides:

108 - 324 = 9x + 324 - 324

Simplifying the equation gives us: -216 = 9x

Step 4: Finally, solve for x by dividing both sides of the equation by 9:

-216/9 = 9x/9

Simplifying the equation gives us: -24 = x

So, the solution to the equation 1/12x + 3 = 9 + 1/3x is x = -24.