Rewrite the following equation in standard form. y = 10x + 3 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 = 10x + 3  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: Identify the given equation and the standard form requirement. The given equation is y = 10x + 3. 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 Term for Isolation: Move the term involving x to the other side of the equation to isolate y. To do this, we subtract 10x from both sides of the equation. y - 10x = 10x + 3 - 10x This simplifies to: y - 10x = 3Rearrange for Standard Form: Rearrange the terms to match the standard form. We want the x term to come before the y term, so we write the equation as: -10x + y = 3Ensure Non-Negative Coefficient: Ensure that the coefficient of x is non-negative. Since the standard form requires A to be non-negative, we multiply the entire equation by -1 to make the coefficient of x positive. -1(-10x + y) = -1(3) This simplifies to: 10x - y = -3Check GCF of Coefficients: Check if the coefficients have a GCF other than 1. The coefficients are 10, -1, and -3. The GCF of these numbers is 1, so we do not need to divide the entire equation by any number to reduce the coefficients.

Rewrite the following equation in standard form. $\newline$ $y = 10x + 3$ $\newline$ 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=10x+3y = 10x + 3y=10x+3\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. $\newline$ $y = 10x + 3$ $\newline$ 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 $1$ .