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Rewrite the following equation in standard form.\newliney=9x+3y = 9x + 3\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=9x+3y = 9x + 3\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. Given Equation: Start with the given equation.\newliney=9x+3y = 9x + 3\newlineWe need to rearrange this equation into the standard form, which is Ax+By=CAx + By = C.
  2. Rearrange Equation: Move the term involving xx to the other side of the equation by subtracting 9x9x from both sides.\newliney9x=9x+39xy - 9x = 9x + 3 - 9x\newlineThis simplifies to:\newline9x+y=3-9x + y = 3
  3. Make Coefficient Positive: The standard form of a linear equation should have the xx-term first and both xx and yy coefficients should be integers. The equation 9x+y=3-9x + y = 3 is almost in standard form, but the coefficient of xx is negative. To make it positive, we can multiply the entire equation by 1-1.\newline1(9x+y)=1(3)-1(-9x + y) = -1(3)\newlineThis simplifies to:\newline9xy=39x - y = -3
  4. Final Standard Form: To maintain the standard form convention, we should write the yy-term as positive. So, we multiply the entire equation by 1-1 again to get the final standard form.\newline1(9xy)=1(3)-1(9x - y) = -1(-3)\newlineThis simplifies to:\newline9x+y=3-9x + y = 3

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