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Rewrite the following equation in standard form.\newliney=x+9y = x + 9\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=x+9y = x + 9\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. Move x term left: To rewrite the equation in standard form, we need to get the terms involving variables on one side and the constant on the other side. We start with the given equation:\newliney=x+9y = x + 9\newlineWe want to subtract xx from both sides to move the xx term to the left side of the equation.\newlineyx=x+9xy - x = x + 9 - x
  2. Simplify equation: After performing the subtraction, we simplify the equation:\newlineyx=9y - x = 9\newlineThis is almost in standard form, but standard form requires the xx term to be positive. We can rewrite the equation as:\newlinex+y=9-x + y = 9
  3. Make xx term positive: To make the xx term positive, we multiply the entire equation by 1-1:\newline1(x+y)=1(9)-1(-x + y) = -1(9)\newlineThis gives us:\newlinexy=9x - y = -9
  4. Equation in standard form: Now, we have the equation in standard form:\newlineAx+By=CAx + By = C\newlineHere, A=1A = 1, B=1B = -1, and C=9C = -9. The greatest common factor (GCF) of 11, 1-1, and 9-9 is 11, so the coefficients are already in the simplest form.

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