Question

Make t the subject of the familiar:
3𝑉
(𝑉𝑡−𝑊)
= 1 + U
A. t =
3𝑉
(1+ 𝑢}
+
𝑊
𝑉
B. t =
3𝑉
𝑣(1+ 𝑢}
+
𝑊
𝑉
C. t =
3
(1+ 𝑢}
+
𝑊
𝑉
D. 3
𝑣(1+ 𝑢}
+
𝑊
𝑉

Answer 1

To make t the subject of the equation, we want to isolate t on one side of the equation.

Starting with the given equation:
(3𝑉) / (𝑉𝑡 − 𝑊) = 1 + U

We can start by multiplying both sides of the equation by (𝑉𝑡 − 𝑊) to eliminate the denominator:
3𝑉 = (𝑉𝑡 − 𝑊) * (1 + U)

Next, we distribute the (1 + U) term on the right side of the equation:
3𝑉 = 𝑉𝑡(1 + U) − 𝑊(1 + U)

Expanding the equation further:
3𝑉 = 𝑉𝑡 + 𝑉𝑡U − 𝑊 − 𝑊U

Next, we want to gather all the terms containing 𝑡 on one side of the equation. We do this by subtracting 𝑉𝑡 from both sides:
3𝑉 - 𝑉𝑡 = 𝑉𝑡U − 𝑊 − 𝑊U

Rearranging the terms:
𝑡(3𝑉 − 𝑉) = 𝑉𝑡U − 𝑊 − 𝑊U

Finally, we want to isolate t, so we divide both sides of the equation by (3𝑉 − 𝑉):
𝑡 = (𝑉𝑡U − 𝑊 − 𝑊U) / (3𝑉 − 𝑉)

The final result is:
𝑡 = (𝑉𝑡U − 𝑊 − 𝑊U) / (3𝑉 − 𝑉)

Therefore, the correct option is D. 3𝑣(1+ 𝑢)/(𝑣 - 𝑊)