Question
Rewrite the equation in \( A x+B y=C \) form. Use integers for \( A, B \), and \( C \). \[ y-5=-5(x+3) \] \( \square \)
Ask by Bright Maxwell. in the United States
Mar 17,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The equation in the form \(Ax + By = C\) is:
\[
5x + y = -10
\]
Solution
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Bonus Knowledge
To rewrite the equation \( y - 5 = -5(x + 3) \) in the form \( Ax + By = C \), we first expand and simplify. Starting with \( y - 5 = -5x - 15 \), we move \( y \) to one side: \( y = -5x - 15 + 5 \). This simplifies to \( y = -5x - 10 \). Now, we rearrange it to the desired form: \( 5x + y = -10 \). Thus, the equation in the form \( Ax + By = C \) is: \[ 5x + y = -10 \]
