Question

X-1/2 - 2X/3 = X+3/3​

Answer 1

Ответ:

X-1/2 - 2X/3 = X+3/3​

3/3=1

X-1/2 - 2X/3 = X+1

X-2x/3-X=1+1/2

x-$\frac{2x}{3}$-x=1$\frac{1}{2}$

$\frac{4x}{3}$=1$\frac{1}{2}$

$\frac{4x}{3}$=$\frac{3}{2}$

4x*2=3*3

8x=9

x=9:8

x=1.125

Пошаговое объяснение:

Answer 2

To solve the equation $X - \frac{1}{2} - \frac{2X}{3} = \frac{X + 3}{3}$, we'll follow these steps:

1. Clear the denominators (multiply through by the common denominator).
2. Simplify both sides of the equation.
3. Collect like terms on each side.
4. Isolate $X$ on one side.
5. Verify the solution.

Let's go step by step:

1. Clear the denominators by multiplying through by the common denominator, which is $6$ in this case:

   $6 \cdot \left(X - \frac{1}{2}\right) - 6 \cdot \frac{2X}{3} = 6 \cdot \frac{X + 3}{3}$

   This simplifies to:

   $6X - 3 - 4X = 2(X + 3)$

2. Simplify both sides:

   $2X - 3 = 2X + 6$

3. Collect like terms:

   $-3 = 6$

At this point, we end up with an equation that doesn't make sense ($-3 = 6$). This means that the original equation $X - \frac{1}{2} - \frac{2X}{3} = \frac{X + 3}{3}$ has no solution.

Therefore, there are no values of $X$ that satisfy the equation.