Question

Решите уравнение 1)X/2+x/3+x=44/3

Answer 1

Х/2+х/3+х/1=44/3
(3х+2х+6х)/6=44/3
11х/6=44/3
11х=(6×44)/3
11х=88
х=8

Answer 2

To solve the equation (X/2 + X/3 + X = 44/3) for X, we need to find the value of X that satisfies the equation. To do this, we'll combine like terms and isolate X on one side of the equation.

Step 1: Combining like terms

First, let's find the common denominator for X/2 and X/3, which is 6.

(X/2 + X/3 + X) = 44/3 Now, let's convert the fractions to have a common denominator of 6:

(3X/6 + 2X/6 + 6X/6) = 44/3

Simplifying further, we get:

(5X/6 + 6X/6) = 44/3

Combining the numerators, we have:

(11X/6) = 44/3

Step 2: Isolating X

To isolate X, we'll multiply both sides of the equation by the reciprocal of the coefficient of X, which is 6/11.

(11X/6) * (6/11) = (44/3) * (6/11)

This simplifies to:

X = (44/3) * (6/11)

Step 3: Calculating the value of X

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

X = (44/3) * (6/11) X = (44*6) / (3*11) X = 264 / 33 X = 8

Therefore, the solution to the equation X/2 + X/3 + X = 44/3 is X = 8.