Pregunta
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
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
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\( y = \frac{C - Ax}{B} \)
Solución
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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Simplifique esta solución 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: \[ y = \frac{C - Ax}{B} \]
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