Rewrite the following equation in standard form.y=6x+3Hint: 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=6x+3Hint: 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 & Standard Form: Identify the given equation and the standard form requirement.The given equation is y=6x−3, 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 to Isolate y: Move the term involving x to the other side of the equation to isolate y. To do this, we subtract 6x from both sides of the equation. y−6x=−3 However, this is not the standard form yet because the x term should be before the y term.
Rearrange for Standard Form: Rearrange the terms to match the standard form Ax+By=C. We want the x term first, so we write the equation as: −6x+y=−3
Ensure Non-Negative 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.Multiplying by −1, we get:6x−y=3Now the equation is in standard form with A=6, B=−1, and C=3.
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