Question

4x-7/x-2 - 2+x/x-2 =0​

Answer 1

Ответ:

Пошаговое объяснение:

(4х-7)/(х-2) - (2+х)/(х-2)=0

4х-7-2-х=0

3х=9

х= 3

Answer 2

To solve the equation $\frac{4x-7}{x-2} - \frac{2+x}{x-2} = 0$, we need to find the value(s) of $x$ that make the equation true. To do this, we'll follow these steps:

Step 1: Find a common denominator for the fractions. Step 2: Combine the fractions on the left-hand side of the equation. Step 3: Set the resulting expression equal to zero and solve for $x$.

Let's go through each step in detail:

Step 1: Find a common denominator The denominators are already the same, which is $x-2$, so we don't need to find a common denominator.

Step 2: Combine the fractions $\frac{4x-7}{x-2} - \frac{2+x}{x-2} = \frac{(4x-7) - (2+x)}{x-2} = \frac{4x-7 - 2 - x}{x-2}$.

Step 3: Set the expression equal to zero and solve for $x$ $\frac{4x-7 - 2 - x}{x-2} = 0$.

Now, let's simplify the expression:

$\frac{3x - 9}{x-2} = 0$.

The next step is to find the values of $x$ that make the expression equal to zero. When a fraction is equal to zero, it means that the numerator must be zero:

$3x - 9 = 0$.

Now, solve for $x$:

$3x = 9$,

$x = \frac{9}{3}$,

$x = 3$.

So, the solution to the equation is $x = 3$.