Question

2- 2/5x= 1/3x+13 X=? Срочно!!!

Answer 1

Ответ:

Пошаговое объяснение:

Первый случай,если Х умножается на дробь.

2- (2/5)x= (1/3)x+13

2- 13= 2/5 x+ 1/3 x

- 11= 2*3/5*3 x+ 1*5/3*5 x

-11= 11/15 *х

х= - 11*15/11

х=-15  ,если х  умножен на дробь

Второй случай,если Х в знаменателе

2- 2/5x= 1/3x+13   умножим на 15х все члены

30х - 6 = 5+ 195х

-165х = 11

х=  11/(-165)

х= - 1/15   если Х в знаменателе дроби.

Answer 2

Solving the Equation

To solve the equation 2 - 2/5x = 1/3x + 13 for x, we need to simplify and isolate the variable x.

Let's start by getting rid of the fractions. We can do this by multiplying every term in the equation by the least common denominator (LCD) of 5 and 3, which is 15.

Multiplying both sides of the equation by 15, we get:

15(2) - 15(2/5x) = 15(1/3x) + 15(13)

Simplifying, we have:

30 - 6x = 5x + 195

Next, let's combine like terms. We can move the 5x term to the left side of the equation by subtracting 5x from both sides:

30 - 6x - 5x = 5x - 5x + 195

Simplifying further, we have:

30 - 11x = 195

To isolate the variable x, we can move the constant term 30 to the right side of the equation by subtracting 30 from both sides:

30 - 11x - 30 = 195 - 30

Simplifying, we have:

-11x = 165

Finally, we can solve for x by dividing both sides of the equation by -11:

x = -165 / -11

Simplifying the division, we get:

x = 15

Therefore, the value of x that satisfies the equation 2 - 2/5x = 1/3x + 13 is x = 15.