What is the result of solving this equation for x?

Ax+by=c

1 answer

To solve the equation \( Ax + By = C \) for \( x \), we can isolate \( x \) by following these steps:

  1. Start with the given equation: \[ Ax + By = C \]

  2. Subtract \( By \) from both sides: \[ Ax = C - By \]

  3. Divide both sides by \( A \) (assuming \( A \neq 0 \)): \[ x = \frac{C - By}{A} \]

Thus, the solution for \( x \) in terms of \( A \), \( B \), \( C \), and \( y \) is: \[ x = \frac{C - By}{A} \]