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Rewrite the following equation in standard form.\newliney=8x10y = 8x - 10\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=8x10y = 8x - 10\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=8x10y = 8x - 10\newlineWe need to rearrange this equation into the standard form, which is Ax+By=CAx + By = C.
  2. Move xx-term: Move the term 8x8x to the other side of the equation by subtracting 8x8x from both sides.\newliney8x=10y - 8x = -10\newlineHowever, the standard form requires the xx-term to be positive and before the yy-term. So we need to multiply the entire equation by 1-1 to make the xx-term positive.
  3. Multiply by 1-1: Multiply the entire equation by 1-1.\newline1(y8x)=1(10)-1(y - 8x) = -1(-10)\newline1y+(1)(8x)=10-1 \cdot y + (-1)(-8x) = 10\newline1y+8x=10-1y + 8x = 10\newlineNow, we need to write the xx-term first.
  4. Write xx-term first: Rearrange the terms to place the xx-term first.\newline8xy=108x - y = 10\newlineThis is the equation in standard form.

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