Rewrite the following equation in standard form.y=7x+7Hint: 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=7x+7Hint: 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.
Start Equation Rewrite Standard Form: Start with the given equation.The given equation is y=7x−7. We need to rewrite it in standard form, which is Ax+By=C.
Move Term with x: Move the term with x to the other side of the equation.To do this, we subtract 7x from both sides of the equation to get −7x+y=−7.
Check Coefficients Common Factors: Check the coefficients for any common factors.The coefficients of the terms in the equation −7x+y=−7 are −7, 1, and −7. The greatest common factor (GCF) of these numbers is 1, so we do not need to divide any terms to reduce the coefficients.
Ensure Positive Coefficient x: Ensure that the coefficient of x is positive.The standard form prefers the coefficient of x to be positive. To achieve this, we can multiply the entire equation by −1 to get 7x−y=7.
Write Final Equation: Write the final equation in standard form.The final equation in standard form is 7x−y=7.
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