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Determine the standard form of the following equation:\newliney=x+8y = x + 8

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Q. Determine the standard form of the following equation:\newliney=x+8y = x + 8
  1. Identify Given Equation: Identify the given equation and the desired form.\newlineThe given equation is y=x+8y = x + 8, and we want to rewrite it in the standard form Ax+By=CAx + By = C.
  2. Move Term with xx: Move the term with xx to the left side of the equation.\newlineTo do this, we subtract xx from both sides of the equation to get yx=8y - x = 8.
  3. Ensure Coefficients are Integers: Ensure that the coefficients are integers and their greatest common factor (GCF) is 11. The coefficients in the equation yx=8y - x = 8 are already integers, and their GCF is 11.
  4. Write Final Equation: Write the final equation in standard form.\newlineThe standard form of the equation is x+y=8-x + y = 8. However, it is more common to write the xx-term first. To do this without changing the equation, we can multiply the entire equation by 1-1 to get xy=8x - y = -8.

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