Question

Solve for v. 35=(5)/(7)v Simplify your answer as much as possible.

Answer 1

To solve for v in the equation 35 = (5/7)v, multiply both sides by 7/5 to get v = 49. Check the solution by substituting it back into the original equation to confirm it's correct.

Step-by-step explanation:

To solve the equation 35 = (5/7)v for v, we need to isolate v on one side of the equation. Here's how we can do it step by step:

1. Multiply both sides of the equation by 7/5 to eliminate the fraction on the right side.
2. Now the equation looks like this: (7/5) * 35 = v.
3. Simplify the left side by multiplying 35 by 7 and then dividing by 5.
4. We get v = 49.

Checking if the answer is reasonable: If we substitute v = 49 back into the original equation, we get 35 = (5/7) * 49. Simplifying the right side, we get 35 = 35, which confirms our solution is correct.