x varies directly as the product of you and v an inversely as their sum if x = 3 and u = 3 and v = 1 what is the value of XE = 3 and v = 3?

Qawsw

2 years ago

Let's break it down step by step:

1. x varies directly as the product of u and v, so we can write: x = k(uv), where k is a constant.
2. x also varies inversely as the sum of u and v, so we can write: x = k/(u+v), where k is the same constant.
3. We are given that x = 3, u = 3, and v = 1. Substituting these values into the first equation, we get: 3 = k(3×1), so k = 3/3 = 1.
4. Now, we can use the second equation to find the value of x when u = 3 and v = 3: x = k/(3+3) = 1/(6) = 1/6.

Therefore, the value of x when u = 3 and v = 3 is 1/6.