Question

Из формулы 1/y=1/a+1/b выразите переменную b

Answer 1

1/y - 1/a = 1/b

(a-y)/ya = 1/b

b = ya/(a-y)

Answer 2

To express variable b in terms of other variables, we need to isolate it on one side of the equation. Let's manipulate the equation step by step to solve for b:

1. Start with the given equation: 1/y = 1/a + 1/b

2. To eliminate fractions, multiply both sides by yab (common denominator): yab * (1/y) = yab * (1/a + 1/b)

3. Simplify the right side by distributing yab: yab * (1/y) = yab/a + yab/b

4. Now, we can see that the term containing b on the right side is yab/b. To isolate b, move the other terms to the other side of the equation: yab/b = yab/a - 1/y

5. To express b alone, divide both sides by yab: b = (yab/a - 1/y)

So the expression for variable b is: b = (yab/a - 1/y)