Question

3х-7/х-1 - х+1/х-1 = 0​

Answer 1

Ответ:

x=4, x недорівнює 1

Объяснение:

$\frac{3x - 7}{x - 1} - \frac{x + 1}{x - 1} = \frac{3x - 7(x - 1)}{x - 1} = 0$

х недорівн. 1

$\frac{3x - 7 - x + 1}{x - 1} = 0 \\ 2x - 8 = 0 \\ 2x = 8 \\ x = 4$

Answer 2

To solve the equation (3x - 7)/(x - 1) - (x + 1)/(x - 1) = 0, we need to combine the fractions and simplify the expression. Here's how you can do it:

Step 1: Find a common denominator for the two fractions, which is (x - 1).

Step 2: Apply the common denominator to both fractions:

(3x - 7)/(x - 1) - (x + 1)/(x - 1) = [(3x - 7) - (x + 1)]/(x - 1)

Step 3: Simplify the numerator by combining like terms:

= (3x - 7 - x - 1)/(x - 1) = (2x - 8)/(x - 1)

Step 4: Set the expression equal to zero:

(2x - 8)/(x - 1) = 0

Step 5: Solve for x by setting the numerator equal to zero:

2x - 8 = 0

Step 6: Solve for x:

2x = 8 x = 8/2 x = 4

Therefore, the solution to the equation (3x - 7)/(x - 1) - (x + 1)/(x - 1) = 0 is x = 4.