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Rewrite the following equation in standard form.\newliney=x+1y = x + 1\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.

Full solution

Q. Rewrite the following equation in standard form.\newliney=x+1y = x + 1\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. Rewrite Equation: Rewrite the equation y=x+1y = x + 1 in standard form.
  2. Subtract and Rearrange: Subtract xx from both sides of the equation to move the xx term to the left side.\newlineyx=1y - x = 1
  3. Make XX Coefficient Positive: Rewrite the equation so that the xx term is positive.x+y=1-x + y = 1
  4. Multiply by 1-1: Multiply the entire equation by 1-1 to make the xx coefficient positive.\newline1(x+y)=1(1)-1(-x + y) = -1(1)
  5. Simplify Equation: Simplify the equation after multiplying by 1-1.xy=1x - y = -1

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