Rewrite the following equation in standard form. y = 5x + 6 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 = 5x + 6  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 & Requirement: Identify the given equation and the standard form requirement. The given equation is y = 5x + 6, 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.Rearrange Equation: Rearrange the equation to get terms involving x and y on one side and the constant on the other side. To do this, we will subtract 5x from both sides of the equation to move the x term to the left side. y - 5x = 6 However, the standard form requires the x term to be positive, so we will multiply the entire equation by -1 to get the x term positive. -1(y - 5x) = -1(6) -1 * y + 5x * -1 = -6 -1y + -5x = -6 -1y - 5x = -6Correct Sign & Rearrange: Correct the sign of the x term and rearrange the terms to match the standard form. We will write the x term first, followed by the y term, and then the constant. 5x - y = -6Check Coefficients GCF: Check if the coefficients have a GCF other than 1. The coefficients of x and y are 5 and -1, respectively. The GCF of 5 and 1 is 1, so we do not need to divide the equation by any number to reduce the coefficients.Ensure Positive Coefficient: Ensure that the coefficient of x is positive. The coefficient of x is already positive, so we do not need to make any changes here.

Rewrite the following equation in standard form. $\newline$ $y = 5x + 6$ $\newline$ 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=5x+6y = 5x + 6y=5x+6\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. $\newline$ $y = 5x + 6$ $\newline$ 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 $1$ .