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Rewrite the following equation in standard form.\newliney=9x+4y = 9x + 4\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+4y = 9x + 4\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. Start with given equation: To convert the equation to standard form, we need to rearrange it so that it fits the format Ax+By=CAx + By = C. We start with the given equation:\newliney=9x+4y = 9x + 4\newlineWe want to move the term involving xx to the other side of the equation to have all the variable terms on one side and the constant on the other side.
  2. Subtract to move xx term: Subtract 9x9x from both sides of the equation to move the xx term to the left side:\newliney9x=9x+49xy - 9x = 9x + 4 - 9x\newlineThis simplifies to:\newline9x+y=4-9x + y = 4
  3. Multiply by 1-1 for positive xx: The standard form of a linear equation is Ax+By=CAx + By = C, where AA is a positive integer. Since we have 9x-9x, we will multiply the entire equation by 1-1 to make the coefficient of xx positive:\newline1(9x+y)=1(4)-1(-9x + y) = -1(4)\newlineThis simplifies to:\newline9xy=49x - y = -4
  4. Final standard form: However, we want the yy term to be positive, so we will multiply the entire equation by 1-1 again to get the final standard form:\newline1(9xy)=1(4)-1(9x - y) = -1(-4)\newlineThis simplifies to:\newline9x+y=4-9x + y = 4

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