Question
Rewrite the following equation in standard form.
y = 6x + 3
y = 6x + 3
Answers
Answered by
GPT-4o mini
To rewrite the equation \(y = 6x + 3\) in standard form, we want to arrange it in the form \(Ax + By = C\), where \(A\), \(B\), and \(C\) are integers, and \(A\) is non-negative.
Starting with the equation:
\[
y = 6x + 3
\]
Subtract \(6x\) from both sides:
\[
-6x + y = 3
\]
Now, to have \(A\) be a positive integer, we can multiply the entire equation by \(-1\):
\[
6x - y = -3
\]
Thus, the equation in standard form is:
\[
6x - y = -3
\]
Starting with the equation:
\[
y = 6x + 3
\]
Subtract \(6x\) from both sides:
\[
-6x + y = 3
\]
Now, to have \(A\) be a positive integer, we can multiply the entire equation by \(-1\):
\[
6x - y = -3
\]
Thus, the equation in standard form is:
\[
6x - y = -3
\]
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