Question

2/3x-1/18x+1/2x=2,2/9

Answer 1

Ответ:

х=2

Пошаговое объяснение:

Подводим числа с иксами к общему знаменателю 18, к первому доп. множитель 6, ко второму 1 и к третьему 9, получаем:

(12х-х+9х)/18=2 2/9

Сводим подобные и превращаем дробь после равно в неправильный

20/18х=20/9

Домножаем на 18, к первому доп. множитель 1, ко второму 2 и получаем:

20х=40; х=2

Answer 2

Приведем обе части к знаменателю 18 и умножим на него обе части, получим

12x-1x+9x=40

20х=40, х=2

Answer 3

To solve the equation (2/3)x - (1/18)x + (1/2)x = 2 + (2/9), we need to combine like terms and simplify both sides of the equation. Let's go step by step:

First, let's simplify the left side of the equation by combining the terms with x:

(2/3)x - (1/18)x + (1/2)x = (2/3 - 1/18 + 1/2)x

To find the common denominator for 3, 18, and 2, we multiply them together: 3 * 18 * 2 = 108.

So, we have:

(2/3)x - (1/18)x + (1/2)x = (36/108)x - (6/108)x + (54/108)x

Now, let's simplify the right side of the equation:

2 + (2/9) = 18/9 + 2/9 = 20/9

Now, the equation becomes:

(36/108)x - (6/108)x + (54/108)x = 20/9

Combining the terms with x on the left side, we have:

(84/108)x = 20/9

To simplify this further, we can reduce the fractions. Let's simplify the fractions on both sides:

(7/9)x = (20/9)

Now, to isolate x, we can multiply both sides of the equation by the reciprocal of (7/9), which is (9/7):

(9/7) * (7/9)x = (9/7) * (20/9)

On the left side, the (7/9) and (9/7) cancel out, leaving us with:

x = (9/7) * (20/9)

Multiplying the numerators and denominators, we get:

x = (180/63)

To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor (GCD), which is 9:

x = (20/7)

Therefore, the solution to the equation (2/3)x - (1/18)x + (1/2)x = 2 + (2/9) is x = 20/7.