Rewrite the following equation in standard form. y = x + 10 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 = x + 10  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 and Form: Identify the given equation and the desired form. The given equation is y = x + 10, and we want to rewrite it in the standard form Ax + By = C.Move X Term Left: Move the term involving x to the left side of the equation. To do this, we subtract x from both sides of the equation. y - x = x + 10 - x This simplifies to y - x = 10.Rewrite Equation Order: Rewrite the equation so that the x term comes before the y term. The standard form is Ax + By = C, so we want the x term to come first. -x + y = 10Ensure Positive Coefficient: Ensure that the coefficient of x is positive. In standard form, it is customary to have the coefficient of x be positive. To achieve this, we multiply the entire equation by -1. -1(-x + y) = -1(10) This simplifies to x - y = -10.Check Coefficients and GCF: Check that the coefficients are integers and their greatest common factor (GCF) is 1. The coefficients in the equation x - y = -10 are 1, -1, and -10. The GCF of 1 and -1 is 1, so the equation is already in the correct form.

Rewrite the following equation in standard form. $\newline$ $y = x + 10$ $\newline$ 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=x+10y = x + 10y=x+10\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. $\newline$ $y = x + 10$ $\newline$ 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 $1$ .