Question
Rewrite the equation in \( A x+B y=C \) form. Use integers for \( A, B \), and \( C \). \( y+4=-6(x-1) \)
Ask by Barber Nichols. in the United States
Mar 17,2025
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Answer
The equation in \( A x + B y = C \) form is \( 6x + y = 2 \).
Solution
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To rewrite the equation \( y + 4 = -6(x - 1) \) in the form \( A x + B y = C \), we first need to simplify and rearrange it. First, distribute the \(-6\) on the right side: \[ y + 4 = -6x + 6. \] Next, subtract \(4\) from both sides: \[ y = -6x + 6 - 4, \] which simplifies to: \[ y = -6x + 2. \] Now, rearranging it gives: \[ 6x + y = 2. \] Thus, in the form \( A x + B y = C \), we have: \[ 6x + 1y = 2 \] where \( A = 6 \), \( B = 1 \), and \( C = 2 \).
