The formula Ax + By = C represents the equation of a lone in standard form. Which expression represents y in terms of A,B,C, and x?

Answer 1

To express \( y \) in terms of \( A \), \( B \), \( C \), and \( x \) from the equation \( Ax + By = C \), 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 \( y \): \[ y = \frac{C - Ax}{B} \]

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