The equation of a line is given by Ax + By =C. Solve for y.

1 answer

To solve the equation of the line \( Ax + By = C \) for \( y \), follow these steps:

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

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

  3. Finally, divide both sides by \( B \) to isolate \( y \): \[ y = \frac{C - Ax}{B} \]

Thus, the equation solved for \( y \) is: \[ y = \frac{C - Ax}{B} \]

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