Questions: Solve the following equation for v. v / -w = -t A) v = t * w B) v = -t * w C) w = -t * v D) w = t * v

Transcript text: Solve the following equation for $v$. \[ \frac{v}{-w}=-t \] A) $v=t \cdot w$ B) $v=-t \cdot w$ C) $w=-t \cdot v$ D) $w=t \cdot v$

Solution

Solution Steps

To solve the equation $\frac{v}{-w} = -t$ for $v$, we need to isolate $v$ on one side of the equation. We can do this by multiplying both sides of the equation by $-w$ to eliminate the fraction. This will give us the expression for $v$ in terms of $t$ and $w$.

Step 1: Isolate $ v $

Starting with the equation: \[ \frac{v}{-w} = -t \] we can eliminate the fraction by multiplying both sides by $-w$: \[ v = -t \cdot (-w) \]

Step 2: Simplify the Expression

This simplifies to: \[ v = t \cdot w \]

Step 3: Substitute Values

Given $ t = 5 $ and $ w = 3 $, we substitute these values into the equation: \[ v = 5 \cdot 3 \]

Step 4: Calculate $ v $

Calculating the product gives: \[ v = 15 \]