Question

12/x-4=-2/3 РЕШИТЕ ПОЖАЛУЙСТА

Answer 1

Ответ:

$\displaystyle \frac{12}{x - 4} = - \frac{2}{3} .$

ОДЗ: х≠4.

$12 \times 3 = - 2(x - 4) \\ - 2x + 8 = 36 \\ - 2x = 36 - 8 \\ - 2x = 28 \\ x = 28 \div ( - 2) \\ \boxed{x = - 14}.$

Answer 2

Solving the Equation 12/x - 4 = -2/3

To solve the equation 12/x - 4 = -2/3, we can follow these steps:

1. Isolate the Variable: First, we isolate the variable x by moving the constant terms to the other side of the equation.

2. Combine Like Terms: Then, we combine like terms and simplify the equation to solve for x.

Let's solve the equation step by step.

Step 1: Isolate the Variable

We start by adding 4 to both sides of the equation to move the constant term to the other side:

12/x - 4 + 4 = -2/3 + 4

This simplifies to:

12/x = -2/3 + 4

Step 2: Combine Like Terms and Simplify

Next, we simplify the right-hand side of the equation:

-2/3 + 4 = -2/3 + 12/3 = 10/3

So, the equation becomes:

12/x = 10/3

Step 3: Solve for x

To solve for x, we can cross multiply:

12 * 3 = 10 * x

36 = 10x

Now, we solve for x:

x = 36 / 10

x = 3.6

Therefore, the solution to the equation 12/x - 4 = -2/3 is x = 3.6.

This solution is obtained by isolating the variable and simplifying the equation step by step.

I hope this helps! If you have any further questions or need additional assistance, feel free to ask.