Rewrite the following equation in standard form.y=3x+2Hint: 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.
Q. Rewrite the following equation in standard form.y=3x+2Hint: 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.
Identify Equation: Identify the given equation and the standard form requirement.The given equation is y=3x−2, 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 Term: Move the term involving x to the other side of the equation to isolate the constant term on one side.To do this, we subtract 3x from both sides of the equation.y−3x=−2
Rearrange Terms: Rearrange the terms to match the standard form Ax+By=C. We want the x term to come before the y term, so we write the equation as: −3x+y=−2
Ensure Coefficient: Ensure that the coefficient of x is non-negative.If the coefficient of x is negative, we can multiply the entire equation by −1 to make it positive. However, in this case, since there is no specific requirement that A must be positive (only non-negative), we can leave the equation as is or choose to multiply by −1 for preference.Multiplying by −1, we get:3x−y=2
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