Question
Rewrite the equation in \( A x+B y=C \) form Use integers for \( A, B \), and \( C \). \( y=\frac{1}{3} x-6 \)
Ask by Macdonald Willis. in the United States
Mar 17,2025
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Tutor-Verified Answer
Answer
The equation in \( A x+B y=C \) form is \( x-3y=18 \).
Solution
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Bonus Knowledge
To rewrite the equation \( y=\frac{1}{3} x-6 \) in the form \( A x + B y = C \), first, we can eliminate the fraction by multiplying the entire equation by 3. This results in \( 3y = x - 18 \). Now, rearranging gives us \( -x + 3y = -18 \). To convert it into a standard format where \( A, B, \) and \( C \) are integers, we can multiply the entire equation by -1. Thus, we have \( x - 3y = 18 \), where \( A=1, B=-3, C=18 \).
