Questions: u=kx+yx, for x

u=kx+yx, for x
Transcript text: $u=k x+y x$, for $x$
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Solution

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Solution Steps

To solve for \( x \) in the equation \( u = kx + yx \), we can factor out \( x \) from the right-hand side and then isolate \( x \).

Solution Approach
  1. Combine like terms involving \( x \) on the right-hand side.
  2. Factor out \( x \).
  3. Divide both sides by the remaining coefficient of \( x \) to solve for \( x \).
Step 1: Combine Like Terms

Given the equation \( u = kx + yx \), we first combine the like terms involving \( x \): \[ u = (k + y)x \]

Step 2: Isolate \( x \)

To isolate \( x \), we divide both sides of the equation by \( (k + y) \): \[ x = \frac{u}{k + y} \]

Final Answer

\(\boxed{x = \frac{u}{k + y}}\)

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