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Rewrite the following equation in standard form.\newliney=3x+2y = 3x + 2\newlineHint: The standard form of a linear equation is Ax+By=CAx + By = C where AA and BB are not both zero, and AA, BB, and CC are integers whose GCF is 11.

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Q. Rewrite the following equation in standard form.\newliney=3x+2y = 3x + 2\newlineHint: The standard form of a linear equation is Ax+By=CAx + By = C where AA and BB are not both zero, and AA, BB, and CC are integers whose GCF is 11.
  1. Identify Equation: Identify the given equation and the standard form requirement.\newlineThe given equation is y=3x2y = 3x - 2, and we need to rewrite it in the standard form Ax+By=CAx + By = C, where AA, BB, and CC are integers with a greatest common factor (GCF) of 11, and AA should be non-negative.
  2. Move Term: Move the term involving xx to the other side of the equation to isolate the constant term on one side.\newlineTo do this, we subtract 3x3x from both sides of the equation.\newliney3x=2y - 3x = -2
  3. Rearrange Terms: Rearrange the terms to match the standard form Ax+By=CAx + By = C. We want the xx term to come before the yy term, so we write the equation as: 3x+y=2-3x + y = -2
  4. Ensure Coefficient: Ensure that the coefficient of xx is non-negative.\newlineIf the coefficient of xx is negative, we can multiply the entire equation by 1-1 to make it positive. However, in this case, since there is no specific requirement that AA must be positive (only non-negative), we can leave the equation as is or choose to multiply by 1-1 for preference.\newlineMultiplying by 1-1, we get:\newline3xy=23x - y = 2

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