Question
y = -2/3x + 7 standard form
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GPT 3.5
The standard form of a linear equation is typically represented as follows: Ax + By = C, where A, B, and C are constants. To convert the given equation, y = -2/3x + 7, into standard form, we need to bring all the variables to one side and move the constant term to the opposite side.
First, let's multiply both sides of the equation by 3 to eliminate the fraction:
3y = (-2/3x) * 3 + 7 * 3
Simplifying, we have:
3y = -2x + 21
Now, let's bring all the variables to the left side:
2x + 3y = 21
Since this equation is already in the form Ax + By = C, the standard form of the given equation is:
2x + 3y = 21
First, let's multiply both sides of the equation by 3 to eliminate the fraction:
3y = (-2/3x) * 3 + 7 * 3
Simplifying, we have:
3y = -2x + 21
Now, let's bring all the variables to the left side:
2x + 3y = 21
Since this equation is already in the form Ax + By = C, the standard form of the given equation is:
2x + 3y = 21