Rewrite the following equation in standard form.y=x+6Hint: 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=x+6Hint: 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 and Requirement: Identify the given equation and the standard form requirement.The given equation is y=x+6, 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 x Term Left: Move the x term to the left side of the equation.To do this, we subtract x from both sides of the equation to get −x+y=6.
Multiply by −1: Multiply the entire equation by −1 to make the coefficient of x positive.Multiplying by −1, we get x−y=−6. This is now in the standard form, with A=1, B=−1, and C=−6.
Check Coefficients GCF: Check if the coefficients have a GCF other than 1. The coefficients are 1, −1, and −6. The GCF of these numbers is 1.
More problems from Write linear equations in standard form