Question

(1/x)+(1/y)=? (xy)/(x+y)=4/25

Answer 1

Ответ:

3/10

Пошаговое объяснение:

почему ответ должен состоять символыв

Answer 2

To find the value of (1/x) + (1/y), we can use the given equation:

(1/x) + (1/y) = (xy) / (x + y)

Given that (xy) / (x + y) = 4/25, we can substitute this value into the equation:

(1/x) + (1/y) = 4/25

Now, we need to solve for (1/x) + (1/y). To do this, let's create a common denominator by multiplying both sides of the equation by 25xy:

25y + 25x = 4xy

Simplifying the equation further:

25y + 25x - 4xy = 0

Rearranging the terms:

25y - 4xy + 25x = 0

Now, let's factor out the common factor of 25:

25(y - 4x) + 25x = 0

Dividing both sides by 25:

(y - 4x) + x = 0

Simplifying:

y - 4x + x = 0

Combining like terms:

y - 3x = 0

Finally, we can solve for y:

y = 3x

Substituting this value back into the original equation:

(1/x) + (1/y) = (1/x) + (1/(3x))

To simplify further, we can find a common denominator:

(1/x) + (1/(3x)) = (3 + 1) / (3x) = 4 / (3x)

Therefore, the value of (1/x) + (1/y) is 4 / (3x).