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How to write an equation in standard form

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To write an equation in standard form, follow these steps: 1) Standard form of a linear equation: In mathematics, the standard form of a linear equation is written as Ax + By = C, where A, B, and C are integers and A is non-negative. 2) Move all terms to one side: Start with an equation that may not be in standard form. Rearrange the equation by moving all terms to one side, so that the equation is in the form of Ax + By + C = 0. For example, let's say we have the equation y = 3x + 2. To convert it to standard form, we can subtract 3x from both sides: -3x + y = 2. 3) Make sure the coefficients are integers: If any of the coefficients are fractions or decimals, multiply the entire equation by the appropriate number to clear the fraction or decimal. For example, if we have the equation 0.5x - 1.5y = 2, we can multiply the entire equation by 2 to get rid of the decimal: 1x - 3y = 4. 4) Make A non-negative: If the coefficient A is negative, multiply the entire equation by -1 to make A non-negative. For example, if we have the equation -2x + 4y = -6, we can multiply the entire equation by -1 to make A non-negative: 2x - 4y = 6. 5) Adjust the constant term: If necessary, adjust the constant term on the right side of the equation so that it is an integer. For example, if we have the equation x + y = 3.5, we can multiply the entire equation by 2 to get rid of the decimal: 2x + 2y = 7. By following these steps, you can write an equation in standard form. Remember, the goal is to have all the coefficients as integers, with A being non-negative
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