Question
Solve the equation for the indicated variable. \[ A x+B y=C ; y \] \( y=\square \) (Simplify your answer. Use integers or fractions for any numbers in the expression.)
Ask by Bird Riley. in the United States
Mar 11,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( y = \frac{C - Ax}{B} \)
Solution
1. Start with the equation:
\[
Ax + By = C
\]
2. Subtract \( Ax \) from both sides to isolate the \( By \) term:
\[
By = C - Ax
\]
3. Divide both sides by \( B \) (assuming \( B \neq 0 \)) to solve for \( y \):
\[
y = \frac{C - Ax}{B}
\]
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Simplify this solution Extra Insights
To solve for \( y \) in the equation \( Ax + By = C \), we need to isolate \( y \). We start by subtracting \( Ax \) from both sides, which gives us: \[ By = C - Ax \] Now, to solve for \( y \), we divide each side by \( B \): \[ y = \frac{C - Ax}{B} \] So, the solution is: \[ y = \frac{C - Ax}{B} \]
