Question

Solve 2v = w + vt for v. How can you solve it?**

a) (v = frac{w + vt}{2}) - To solve for v, divide both sides by 2.

b) (v = w + vt) - This equation can't be solved for v.

c) (v = frac{w}{2} + frac{vt}{2}) - Distribute the 2 to both terms on the right side.

d) (v = frac{w - vt}{2}) - To solve for v, subtract vt from both sides and then divide by 2.

Answer 1

To solve for v in the equation 2v = w + vt, we need to isolate the variable by moving all v terms to one side, and then divide by (2 - t), assuming t is not equal to 2.

Step-by-step explanation:

To solve the equation 2v = w + vt for v, we need to isolate v on one side of the equation. First, we can rearrange the terms to get all the v terms on one side:

v(2 - t) = w

Next, we divide both sides of the equation by (2 - t) to solve for v:

v = w / (2 - t)

It's important to note that this solution is valid if and only if t ≠ 2, as dividing by zero is undefined.