Rewrite the following equation in standard form. y = 8x + 5 Hint: The standard form of a linear equation is Ax + By = C where A and B are not both zero, and A, B, and C are integers whose GCF is 1. _____

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Rewrite the following equation in standard form.  y = 8x + 5  Hint: The standard form of a linear equation is  Ax + By = C where A and B are not both zero, and A, B, and C are integers whose GCF is 1.  _____

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Identify Equation & Standard Form: Identify the given equation and the standard form requirement. The given equation is y = 8x + 5, and we need to rewrite it in the standard form Ax + By = C, where A, B, and C are integers with a greatest common factor (GCF) of 1, and A should be non-negative.Move x-term to Left: Move the term 8x from the right side of the equation to the left side to get the x-term and the y-term on the same side. To do this, we subtract 8x from both sides of the equation: y - 8x = 8x + 5 - 8x This simplifies to: -y + 8x = 5Multiply by -1: Multiply the entire equation by -1 to make the coefficient of x positive, as is customary in standard form. -1(-y + 8x) = -1(5) This simplifies to: y - 8x = -5Rearrange for Standard Form: Rearrange the terms to match the standard form Ax + By = C. We want the x-term first, followed by the y-term, so we write: -8x + y = -5Check Coefficients for GCF: Check if the coefficients have a GCF other than 1. The coefficients are -8, 1, and -5. The GCF of these numbers is 1.Make Coefficient of x Positive: Since the GCF is 1 and the coefficient of x is negative, we multiply the entire equation by -1 to make the coefficient of x positive. -1(-8x + y) = -1(-5) This simplifies to: 8x - y = 5

Rewrite the following equation in standard form. $\newline$ $y = 8x + 5$ $\newline$ Hint: The standard form of a linear equation is $Ax + By = C$ where $A$ and $B$ are not both zero, and $A$ , $B$ , and $C$ are integers whose GCF is $1$ .

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Rewrite the following equation in standard form.\newliney=8x+5y = 8x + 5y=8x+5\newlineHint: The standard form of a linear equation is Ax+By=CAx + By = CAx+By=C where AAA and BBB are not both zero, and AAA, BBB, and CCC are integers whose GCF is 111.

Rewrite the following equation in standard form. $\newline$ $y = 8x + 5$ $\newline$ Hint: The standard form of a linear equation is $Ax + By = C$ where $A$ and $B$ are not both zero, and $A$ , $B$ , and $C$ are integers whose GCF is $1$ .