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Rewrite the following equation in standard form.Hint: The standard form of a linear equation is where and are not both zero, and , , and are integers whose GCF is .
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Q. Rewrite the following equation in standard form.Hint: The standard form of a linear equation is where and are not both zero, and , , and are integers whose GCF is .
- Identify Equation: Identify the given equation and the standard form requirement.The given equation is . We need to rewrite it in the standard form , where , , and are integers with a greatest common factor (GCF) of , and should be non-negative.
- Move Term: Move the term involving to the other side of the equation to isolate the constant term.To do this, we subtract from both sides of the equation.However, this is not the standard form yet because the -term should be before the -term.
- Rearrange for Standard Form: Rearrange the terms to match the standard form . We write the -term before the -term to get the equation in standard form.
- Ensure Non-Negative Coefficient: Ensure that the coefficient of is non-negative.If the coefficient of is negative, we multiply the entire equation by to make it positive.Multiplying by , we get:Now the equation is in standard form with , , and .
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