Question

4/y-2 - 2/y=3-y/y^2-2y

Answer 1

Ответ:

y = -1/3

Объяснение:

$\frac{4}{y-2}-\frac{2}{y}=\frac{3-y}{y^{2}-2y}\\\\\frac{4y-2(y-2)}{y(y-2)}=\frac{3-y}{y^{2}-2y}/*y^{2}-2y$

4y - 2y + 4 - 3 + y = 0

3y = -1

y = -1/3

Answer 2

To solve the equation (4/y-2) - (2/y) = (3-y)/(y^2-2y), we can follow these steps:

Step 1: Simplify the expressions on both sides of the equation.

• The expression (4/y-2) can be written as (4/y) - (4/2), which simplifies to (4/y) - 2.
• The expression (3-y)/(y^2-2y) can be simplified as (3-y)/y(y-2).

After simplifying, the equation becomes: (4/y) - 2 - (2/y) = (3-y)/y(y-2).

Step 2: Find a common denominator for the fractions on the left side of the equation. The common denominator for (4/y) and (2/y) is y. Rewriting the equation with the common denominator, we get: [(4 - 2y)/y] = (3-y)/y(y-2).

Step 3: Eliminate the denominators. To eliminate the denominators, we can multiply both sides of the equation by y(y-2): y(y-2) * [(4 - 2y)/y] = y(y-2) * [(3-y)/y(y-2)].

Simplifying the equation further, we have: 4(y-2) = (3-y).

Step 4: Expand and simplify. Expanding the equation, we get: 4y - 8 = 3 - y.

Step 5: Rearrange the equation. Rearranging the equation by bringing similar terms to one side, we have: 4y + y = 3 + 8.

Simplifying further, we get: 5y = 11.

Step 6: Solve for y. Dividing both sides of the equation by 5, we find: y = 11/5.

Therefore, the solution to the equation (4/y-2) - (2/y) = (3-y)/(y^2-2y) is y = 11/5.