Questions: x/k = w/v, for x

Transcript text: $\frac{x}{k}=\frac{w}{v}$, for $x$

Solution

Solution Steps

To solve for $ x $ in the equation $\frac{x}{k} = \frac{w}{v}$, we can use cross-multiplication. This involves multiplying both sides of the equation by $ k $ to isolate $ x $.

Step 1: Given Equation

We start with the given equation: \[ \frac{x}{k} = \frac{w}{v} \]

Step 2: Cross-Multiplication

To isolate $ x $, we use cross-multiplication: \[ x = \frac{w}{v} \cdot k \]

Step 3: Substitute Given Values

Substitute the given values $ k = 1 $, $ w = 2 $, and $ v = 3 $ into the equation: \[ x = \frac{2}{3} \cdot 1 \]

Step 4: Simplify the Expression

Simplify the expression to find $ x $: \[ x = \frac{2}{3} \approx 0.6667 \]

Final Answer

$\boxed{x = \frac{2}{3}}$

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