Question
Solve the formula `Ax+By=C`for `x`.
Answers
GPT-4o mini
To solve the equation \( Ax + By = C \) for \( x \), you need to isolate \( x \) on one side of the equation. Here are the steps:
1. Start with the original equation:
\[
Ax + By = C
\]
2. Subtract \( By \) from both sides to isolate the term involving \( x \):
\[
Ax = C - By
\]
3. Finally, divide both sides by \( A \) (assuming \( A \neq 0 \)) to solve for \( x \):
\[
x = \frac{C - By}{A}
\]
So, the solution for \( x \) in terms of \( A \), \( B \), \( C \), and \( y \) is:
\[
x = \frac{C - By}{A}
\]
1. Start with the original equation:
\[
Ax + By = C
\]
2. Subtract \( By \) from both sides to isolate the term involving \( x \):
\[
Ax = C - By
\]
3. Finally, divide both sides by \( A \) (assuming \( A \neq 0 \)) to solve for \( x \):
\[
x = \frac{C - By}{A}
\]
So, the solution for \( x \) in terms of \( A \), \( B \), \( C \), and \( y \) is:
\[
x = \frac{C - By}{A}
\]