\( u=\frac{k x}{y} \), for \( x \)

To solve for \( x \) from the equation \( u=\frac{k x}{y} \), you can rearrange it by multiplying both sides by \( y \) to eliminate the denominator. This gives you \( u y = k x \). Next, divide both sides by \( k \) to isolate \( x \) on one side, resulting in \( x = \frac{u y}{k} \). Voilà! You've expressed \( x \) in terms of \( u \), \( y \), and \( k \). In practical terms, this equation can be used in various fields, such as physics or economics, where relationships between quantities are often linear. For example, if \( k \) represents a constant growth rate and you know the values of \( u \) and \( y \), you can quickly calculate how much \( x \) must be adjusted to maintain that relationship, helping you make informed decisions in your projects!